Answer:
\(y=\dfrac{1}{4}x+\dfrac{7}{2}\)
Step-by-step explanation:
Given equation:
\(y=-4x-5\)
If two lines are perpendicular to each other, their slopes are negative reciprocals.
The slope of the given equation is -4.
Therefore, the slope of the perpendicular line is ¹/₄.
\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)
Substitute the found slope and point (-2, 3) into the point-slope formula to create the equation of the perpendicular line.
\(\implies y-3=\dfrac{1}{4}(x-(-2))\)
\(\implies y-3=\dfrac{1}{4}(x+2)\)
\(\implies y-3=\dfrac{1}{4}x+\dfrac{1}{2}\)
\(\implies y=\dfrac{1}{4}x+\dfrac{7}{2}\)
HELP ME! THIS IS SUPER HARD! YOU GET 100 POINTS OR MORE!
Answer:
3,000
4
60
9
14276
Step-by-step explanation:
Help please 30 points
Answer:
(22,0)
Step-by-step explanation:
y=mx+b
y=-2/3x+44/3
0=-2x/3+44/3
x=22
(22,0)
what 2 fractions out of these are equivalent
2/3 , 6/10 , 9/12 , 10/15 , 16/20
Answer:
2/3 and 10/15
Step-by-step explanation:
................
Step-by-step explanation:
the two equivalent fractions are 2/3 and 10/15
Name the polygon.
pls help ty
Answer:
It's an Irregular Quadrilateral
Step-by-step explanation:
It has 4 sides and the length of the sides of the Quadrilateral is not equal. This makes it irregular.
Answer:
Irregular Polygons
Step-by-step explanation:
Let's us first learn the definition of a polygon. A polygon is a closed shape figure that has a minimum of three sides and three vertices. The term ‘poly’ means ‘many’ and ‘gon’ means ‘angle’. Thus, polygons have many angles. The perimeter and area of polygon depend upon its types.
The classification of polygons is described based on the numbers of sides and vertices. For example, a polygon as four sides and four angles, then it is quadrilateral. The polygons up to 12 sides are the important ones. We are going to learn here polygon’s types based on the number of sides of the closed figure along with examples and diagrams.
Polygons are classified into various types based on the number of sides and measures of the angles. They are:
Regular PolygonsIrregular PolygonsConcave PolygonsConvex PolygonsTrigonsQuadrilateral PolygonsPentagon PolygonsHexagon PolygonsEquilateral PolygonsEquiangular PolygonsRegular PolygonIn a regular polygon, all the sides of the polygon are equal, and all the interior angles are the same. For example, a regular hexagon has six equal sides, and all its interior angles measure to 120 degrees.
Irregular PolygonA polygon with an irregular shape. It means the sides and angles of the polygon are not equal.
Convex PolygonIn a convex polygon, the measure of the interior angle is less than 180 degrees. It is exactly opposite to the concave polygon. The vertices of a convex polygon are always outwards
Concave PolygonIn a concave polygon, at least one angle measures more than 180 degrees. The vertices of a concave polygon are inwards as well as outwards.
TrigonsTrigons are polygons who have three sides. They are nothing but triangles. These trigons or triangles are further classified into different categories, such as:
Scalene Triangle: All sides are unequalIsosceles Triangle: Two sides are equalEquilateral Triangle: All the three sides are equal and all angles measures to 60 degrees.Quadrilateral PolygonQuadrilateral polygon is also called a four-sided polygon or a quadrangle. The different types of the quadrilateral polygon are square, rectangle, rhombus and parallelogram.
Pentagon PolygonThe five-sided polygon is called pentagon polygon. When all the five sides of the polygon are equal in length, then it is called regular pentagon otherwise irregular pentagon.
HexagonsAnother type of polygon is the hexagon which has 6 sides and 6 vertices. A regular hexagon will have equal 6 sides and all its interior and exterior angles also measure equals.
Equilateral PolygonsThe polygons whose all the sides are equal are called equilateral polygons, for example, an equilateral triangle, a square, etc.
Equiangular PolygonsThe polygons whose all the interior angles are equal such as a rectangle are called equiangular polygons.
It took Theo 18 minutes to count his cards and he finished at 4:45
p.m. What time did Theo start counting?
4:27
Step-by-step explanation:
just subtract 45 and 18. common sense
Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
Para aprender más sobre ecuaciones algebraicas: https://brainly.com/question/20307002
#SPJ1
for a circle with the given circumference of c, find the radius and diameter.
c=25 cm
Answer:
r=39.27
d=
Step-by-step explanation:
C=2pi(r)
25=2pi(r)
25/2pi=r
25/2pi=39.27
r=39.27
d=2r
d=2(39.27)
d=78.54
Simplify:
2
(
3
x
)
+
(
x
+
10
)
2(3x)+(x+10)
Answer:
7x+10
Step-by-step explanation:
2x(3x)+1x(x+10)
6x+1x+10
7x+10
Johnny played video games for 22 minutes less than Charlie. Charlie played for 66 minutes. Write and solve and equation to show how many minutes Johnny played video games
Answer:
44 minutes
Step-by-step explanation:
66-22=44
johnny played for 44 minutes
Find the value of x.
x = [ ?1
Answer:
\(\boxed{x = 12}\)
Step-by-step explanation:
By Triangles Similarity Theorem:
=> \(\frac{3}{6} = \frac{6}{x}\)
Cross Multiplying
=> 3 * x = 6 * 6
=> 3x = 36
Dividing both sides by 3
=> x = 12
I need help on this question, can someone please answer it correctly?
Answer:the one area < with line underneath then -4
St-by-step explanation: I’m pretty sure this is correct
Answer:
\( \boxed{x \leqslant - 4}\)Step-by-step explanation:
\( \mathrm{16x - 7 \leqslant - 71}\)
Move constant to Right hand side and change its sign
\( \mathrm{16x \leqslant - 71 + 7}\)
Calculate
\( \mathrm{16x \leqslant - 64}\)
Divide both sides of the equation by 16
\( \mathrm{ \frac{16x}{16} \leqslant \frac{ - 64}{16} }\)
Calculate
\( \mathrm{x \leqslant - 4}\)
Hope I helped!
Best regards!
The price of a lamp is $18.50 the  sale tax is 4%. Which is the total of price including sales tax?
Ok, we need find first the sale tax and next we are going to add this to the price of the lamp, so let's do it.
The sale tax is 4% of the price of the lamp, so we are going to calculate it:
\(\frac{18.50}{100}\cdot4=0.74\)Adding this we get:
\(0.74+18.5=19.24\)The total price including sales tax is $19.24.
3. A deli sells small, medium, and large box lunches. Each can of soda costs $1 and each bag of chips costs $1. Each sandwich costs s dollars. Some customers buy box lunches, and some customers buy items separately. Use this and the information below to solve Parts A, B, and C.
• Michelle buys 6 sandwiches and 2 sodas. Her total cost is 6s+ 2.
• Beyunka buys 6 small box lunches. These box lunches include 1 sandwich, 1 soda, and 1 bag of chips. Her total cost is 6(s + 2).
Duff buys 3 medium box lunches. These box lunches do not include soda. His total cost is 3(2s + 3).
3. PART A: Each medium box lunch purchased by Duff contains two sandwiches and three bags of chips. If sandwiches cost $7.75, what is Duff's total cost?
Answer:
55.50
Step-by-step explanation:
2(7.75) = 15.5
15.5+3 = 18.5
3(18.5) =55.5
$55.50
woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
Learn more about unit prices, click;
https://brainly.com/question/10503561
#SPJ1
5 is 1/2% of what number
Shown below is a wooden six-sided (hexagon) frame. Which of
the following best approximates the slopes of the six line
segments?
O The slopes are approximately -1.4, 0, and 1.4.
O The slopes are approximately -1.7, 0, and 1.7.
O The slopes are approximately -1.8, 1, and 1.4.
O The slopes are approximately -1.7,0, and 1.4
The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.
How to find the slope between two coordinates?The formula to find the slope between two coordinates is expressed as:
Slope = (y₂ - y₁)/(x₂ - x₁)
The slope of each line above the x-axis are:
Slope 1 = (5 - 0)/(5 - 8)
Slope 1 = -1.7
Slope 2 = (5 - 5)/(5 - (-2))
Slope 2 = 0
Slope 3 = (5 - 0)/(-2 - (-5))
Slope 3 = 5/3 = 1.7
Read more about slope between two coordinates at: https://brainly.com/question/3493733
#SPJ1
Please help!!! Thx so much!!!!!
Answer:
AB = 49
ABC = 253
BAC = 156
ABC = 311
Step-by-step explanation:
The whole circle is 360
360 - 107 - 49 = 204
We now know the measurement of the 3 sections shown.
AB = 49
ABC = 49 + 204 = 253
BAC = 107 + 49 = 156
ACB = 107 + 204 = 311
Use the scale drawing and the scale factor to enlarge a square that has a side length of 12 in. Scale factor= 3 in:2m.
Which proportion could you use to solve the side length, x, of the enlarged square?
Given:
The side of square = 12 in.
Scale factor of enlargement = 3 in : 2 m
To find:
The proportion that is use to solve the side length, x, of the enlarged square.
Solution:
Let, the side of length of enlarged square = x m
In case of enlargement the corresponding sides are proportional.
\(\dfrac{3}{12}=\dfrac{2}{x}\)
\(3x=2\times 12\)
\(3x=24\)
Divide both sides by 3.
\(x=\dfrac{24}{3}\)
\(x=8\)
Therefore, the required proportion is \(\dfrac{3}{12}=\dfrac{2}{x}\) and the side length of the square after enlargement is 8 m.
Help please I’m dying and it is dew tomorrow and I have no clue what it could be
The effect on the graph for the given function if the slope of the function is changed to -10 include the following: D. the line is less steep.
The effect on the graph for the given function if the y-intercept of the function is changed to a smaller positive number is: C. the line shifts down.
What is a slope?In Mathematics, a slope is sometimes referred to as rate of change and it is typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.
Generally speaking, a slope simply refers to a measure of the steepness of a straight line. This ultimately implies that, the higher the slope of a line, the more steep it is and vice-versa.
Based on the information provided about this function y = 8 - 2x, we can logically deduce that the line would be shifted downward when its y-intercept is changed to a smaller positive number.
Read more on slope here: brainly.com/question/29470973
#SPJ1
Which situation could NOT represent a proportional relationship?
Answer:
The weight in w weeks of a baby that gains 1.5 pounds per month if her starting weight is 7.5 pounds.
Step-by-step explanation:
You have a 5" by 7" photo that you would like to have enlarged to fit an 7.5" by 10.5" frame. Would the two photographs be similar? Explain your answer using Similarity Transformations.
The photos are similar because the enlarged photo is 1.5 times the size of the original photo.
What is meant by similarity transformations?
Similarity transformations turn items in space into similar objects. If two items have the same shape or have the same shape as their mirror images, they are said to be similar. More specifically, by uniformly scaling (enlarging or decreasing), maybe with additional translation, rotation, and reflection, one can be created from the other. This indicates that one object may be properly aligned with the other object by rescaling, moving, and reflecting it. When two things are comparable to one another, one is consistent with the outcome of a specific uniform scaling of the other.
Here the initial dimension of the photo is 5" by 7" and after enlarging it has dimensions 7.5" by 10.5".
The scale factor is = 7.5/5 = 10.5/7 = 1.5
Since the scale factor is constant for all sides, the pictures before and after enlargement are similar.
Therefore the photos are similar because the enlarged photo is 1.5 times the size of the original photo.
To learn more about similarity, follow the link.
https://brainly.com/question/29789258
#SPJ1
Which explains the sequence of energy transformations during photosynthesis? Chemical energy is transformed into heat energy. Light energy is transformed into chemical energy. Chemical energy is transformed into light energy. Heat energy is transformed into light energy.
Use Kruskal's Algorithm to find the minimum spanning tree for the weighted graph. Give the total weight of the minimum spanning tree.
The total weight of the minimum spanning tree is 6 + 8 + 10 + 15 = 39.
To find the minimum spanning tree using Kruskal's Algorithm, follow these steps:
Sort the edges of the graph in ascending order of their weights.Initialize a tree T with a single vertex, which will be the root.Iterate through the sorted edges: If the edge connects two vertices that are in different connected components of T, add the edge to T and update the connected components of T.If the edge connects two vertices that are in the same connected component of T, ignore the edge.4. Repeat step 3 until T is a spanning tree.
To find the total weight of the minimum spanning tree, simply add up the weights of the edges in the tree.
Here is an example of how to use Kruskal's Algorithm to find the minimum spanning tree for the following weighted graph (diagram attached below):
Sort the edges in ascending order of weight: (A,C,6), (C,E,8), (A,B,10), (B,D,15), (D,E,7).Initialize a tree T with a single vertex A.Iterate through the sorted edges:(A,C,6) connects vertices A and C, which are in different connected components of T, so add the edge to T and update the connected components of T to include C.(C,E,8) connects vertices C and E, which are in different connected components of T, so add the edge to T and update the connected components of T to include E.(A,B,10) connects vertices A and B, which are in different connected components of T, so add the edge to T and update the connected components of T to include B.(B,D,15) connects vertices B and D, which are in different connected components of T, so add the edge to T and update the connected components of T to include D.(D,E,7) connects vertices D and E, which are in the same connected component of T, so ignore the edge.4. T is now a spanning tree, so the algorithm terminates.
The minimum spanning tree is in the below attached diagram:
The total weight of the minimum spanning tree is 6 + 8 + 10 + 15 = 39.
To learn more about Kruskal's Algorithm, visit:
brainly.com/question/29023706
#SPJ4
3x^2+23x^343x^2+13x-10
Answer:
mathmaticicans :impossible
Step-by-step explanation:
some random kid :the answer is aproximatly 42
What is the vertex of the parabola represented by y=-p2 + 6x – 5? A. (6,-5) OB. (-3,-4) C. (3,4) O ( D. (1,5) O E. (5,1)
Given data:
The expression for the parabola is y=-x^2 +6x-5.
The given equation can be written as,
\(\begin{gathered} y=-x^2+6x-5 \\ =-(x^2-6x+5) \\ =-(x^2-2(3)(x)+9-4) \\ =-(x-3)^2+4 \end{gathered}\)Thus, the vertex of the parabola is (3,4).
Please help and i will give 200 points next time NEED A ANSWER FAST
Answer:
I gotchu the answer is 47
The table shows the monthly rainfall at a measuring station. What is the mean monthly rainfall? Round your answer to the nearest thousandth.
The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.
To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:
| Month | Rainfall (in inches) |
|-------|----------------|
| January | 2.3
| February | 1.7
| March | 3.2
| April | 2.9
| May | 2.5
To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:
Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5
Calculating the sum of the rainfall values:
Mean Monthly Rainfall = 12.6 / 5
Dividing the sum by the number of months:
Mean Monthly Rainfall = 2.52
Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.
Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.
To know more about Rounded .
https://brainly.com/question/30545728
#SPJ8
Two tenths of a basket of apples
are red. Five tenths of the apples are green and the rest of the apples
are yellow. What part of the apples
are red and green?
0.2
0.3
0.7
Answer and I will give you brainiliest
Answer:
I think its 0.3
Step-by-step explanation:
Read 3 integer numbers from the user; these numbers represent the lengths of 3 straight lines. From the 3 lengths, determine whether a triangle can be formed with the corresponding lines. If it is possible to form a triangle, determine whether the triangle is a right triangle or not. The rules to be used are: 1. To form a triangle where all lines’ ends meet (form vertices), the sum of the lengths of two sides must be greater than the length of the third side. This short video illustrates this concept: How to determine if the three sides make up a triangle. 2. Per the Pythagorean theorem: in a straight triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. 3. The user can enter the lengths of each line in any order, i.e.: you may not assume that the first length is the longest or the smallest or the middle value.
Answer:
Written in Python
print("Enter three sides of a triangle: ")
length = []
for i in range(0,3):
inp = int(input(""))
length.append(inp)
length.sort()
if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:
print("Triangle")
if length[2]**2 == length[0]**2 + length[1] **2:
print("Right Angled")
else:
print("Not Right Angled")
else:
print("Not Triangle")
Step-by-step explanation:
This line prompts user for sides of triangle
print("Enter three sides of a triangle: ")
This line declares an empty list
length = []
The following iteration gets user input
for i in range(0,3):
inp = int(input(""))
length.append(inp)
This line sorts user input
length.sort()
The following if condition checks if user input is triangle
if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:
The following is executed is the if condition is true
print("Triangle")
The following if condition checks if user input forms a right angled triangle
if length[2]**2 == length[0]**2 + length[1] **2:
print("Right Angled")
else:
print("Not Right Angled")
This is executed if user input is not a triangle
else:
print("Not Triangle")
An author writes 9 pages of her book each week. How many pages does she write in 7 weeks? Use a five fact to solve.
Answer: she writes 63 pages in 7 weeks.
Step-by-step explanation: simple answer you just multiply 9x7=63!
hope this helped.
The number of pages she write in 7 weeks is 63 pages
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Number of pages she write in a week = 9 pages
Number of weeks she writes = 7 weeks
So , to calculate the number of pages she write in 7 weeks =
Number of pages she write in a week × Number of weeks she writes
Number of pages she write in 7 weeks = 9 × 7
= 63 pages
Hence , the number of pages she write in 7 weeks is 63 pages
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2