In triangle abc ac=8cm, line bm is a median
Answer:
In triangle ABC, centroid D is on the median line segment AM.
Step-by-step explanation:
If AB=13cm,BC =13cm and AC=10cm, calculate: the height BM of the triangle. In triangle ABC, centroid D is on the median line segment AM.
hope i helped
Use the given conditions to write an equation for the line in point-slope form and general form. Passing through \( (-5,5) \) and parallel to the line whose equation is \( 5 x-3 y-2=0 \)
The equation in point-slope form is y - 5 = (5/3)(x + 5). The general form of the equation is 5x - 3y + 40 = 0.
To find the equation of a line parallel to the given line and passing through the point (-5,5), we can use the point-slope form of a linear equation. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope of the line. First, we need to find the slope of the given line, and then we can substitute the values into the point-slope form to obtain the equation. Additionally, we can convert the equation to the general form, which is Ax + By + C = 0, by rearranging the terms.
The given line has the equation 5x - 3y - 2 = 0. To find the slope of this line, we can rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation gives us:
-3y = -5x + 2
y = (5/3)x - 2/3
From the equation, we can see that the slope of the given line is 5/3. Since the line we want to find is parallel to this line, it will have the same slope.
Now, using the point-slope form with the point (-5,5) and the slope 5/3, we can write the equation:
y - 5 = (5/3)(x - (-5))
y - 5 = (5/3)(x + 5)
This is the equation of the line in point-slope form.
To convert it to general form, we can multiply through by 3 to eliminate the fraction:
3y - 15 = 5x + 25
5x - 3y + 40 = 0
This is the equation of the line in general form.
Learn more about slope-intercept form here:
https://brainly.com/question/29146348
#SPJ11
(05.02 MC) f sin(y°) = cos(x°), which of the following statements is true?
y = w and ΔABC ~ ΔCDE
y = x and ΔABC ~ ΔCDE
y = w and ΔABC ≅ ΔCDE
y = x and ΔABC ≅ ΔCDE
The statement that truly represent the diagram is
y = w and Δ ABC ~ Δ CDE
How to identify the true statementsThe two triangles depicted are similar triangles and similar triangle is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Examining the figure shows that pair of congruent angles are
angle y = angle w (alternate angles)
angle D = angle B (right triangle)
angle x = angle z (alternate angles)
similar triangles is represented by ~ and only the first option match the description
Learn more about similar triangles here:
https://brainly.com/question/29333623
#SPJ1
Rita tried to solve an equation. �
+
12
=
18. 3
�
+
12
−
12
=
18. 3
−
12
Setting up
�
=
5. 7
Calculating
n+12
n+12−12
n
=18. 3
=18. 3−12
=5. 7
Setting up
Calculating
Where did Rita make her first mistake?
Rita's first mistake was in her attempt to simplify the equation 3�+12−12=18. She incorrectly subtracted 12 from both sides of the equation, which resulted in 3�=6 instead of 3�=18.3. The correct step would have been to subtract 12 from only the right side of the equation, resulting in 3�=6+12 or 3�=18. From there, she correctly set up the equation �=5 and calculated the solution to be 7.
This mistake is a common one, as students often mistakenly apply operations to both sides of an equation when they should only be applying them to one side.
It is important to remember the basic rules of algebra, such as the fact that whatever operation is performed to one side of the equation must also be performed to the other side in order to maintain balance. By correctly applying these rules, students can avoid making common mistakes and arrive at the correct solution.
For more such questions on equation, click on:
https://brainly.com/question/22688504
#SPJ11
25/20 + 10/y = ? Solve for y.
Answer:
your answer is y=-8 for sure
Two neighbors are draining their pools. Pool A has 7, 646 gallons of water and is draining at a rate of 8 gallons per minute. Pool B has 8500 gallons of water and is draining at a rate of 10 gallons per minute. How many minutes, m, will it take for the two containers to have the same amount of
water?
a
The pools will have the same amount of water at 897 minutes.
b
The pools started with the same amount of water.
c
The pools will have the same amount of water at 427 minutes.
d
The pools will never contain the same amount of water.
Answer: oof amount minutes
Step-by-step explanation:
The pool will have the same amount of water in 427 minutes.
Thus c. The pools will have the same amount of water at 427 minutes.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
It is given that,
Amount of water in Pool A = 7, 646 gallons
Rate of draining of Pool A = 8 gallons per minute
Amount of water in Pool B = 8500 gallons
Rate of draining of Pool B = 10 gallons per minute
Now m the number of minutes that the pools contain the same amount of water.
Therefore amount of water in Pool A draining in m minutes,
= 7646 - (8 × m)
= 7646 - 8m ...(i)
And amount of water in Pool B in draining m minutes,
= 8500 - (10× m)
= 8500 - 10m ...(ii)
Equating equation (i) and (ii) we get,
7646 - 8m = 8500 - 10m
Collecting like terms we get,
10m - 8m = 8500 - 7646
Solving we get,
2m = 854
or, m = 854/2
⇒ m = 427 minutes
The pool will have the same amount of water in 427 minutes.
Thus c. The pools will have the same amount of water at 427 minutes.
To learn more about equation:
https://brainly.com/question/12720088
#SPJ2
Please help.. tysm if you do
Answer:
the answer is option A one graph
and I think or am sure it is correct ans.
Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
<95141404393>
x/42=15/7? proportion
Answer: x=90
Step-by-step explanation: Okay let's see! Let's solve your equation step-by-step.
x
42
=
15
7
Step 1: Cross-multiply.
x
42
=
15
7
x*(7)=(15)*(42)
7x=630
Step 2: Divide both sides by 7.
7x
7
=
630
7
x=90
Answer:
x = 90
Step-by-step explanation:
7x = 42 * 15 = 630
x = 630/7
x = 90
A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. the resulting cross section is .
The cylinder that is sliced by the plane which is not parallel to the base of the cylinder and intersects only at the lateral surface is called an ellipse.
What is the formation of an Ellipse in a Cylinder?When a cylinder with a longitudinal axis (z) is sliced at an angle to the xy plane, an elliptical shape is created.
In a circle, every plane crosses a circular cylinder perpendicularly to its axis. A plane that is neither at right angles to the axis nor parallel to it, crosses the cylinder in an elliptical shape.
Learn more about an ellipse here:
https://brainly.com/question/26679189
Answer:
It is an ellipse.
Step-by-step explanation:
Plato/Edmentum
Twice the sum of x
and 5 equals 3.
⇛2x + 5 = 3
⇛2x = 5 - 3
⇛2x = 2
⇛x = 2/2
⇛x = 1
Answer:
1
Step-by-step explanation:
any help is appreciated
Answer:
You will need to draw this out yourself.
Step-by-step explanation:
But to map each point, you find the x (left or right) then y (go up or down).
For example, point A is -1,7
so move one block to the left is -1, move your finger up 7 (line inbetween 6 and 8) that is point A.
Draw for all the others, connect each group of three points to draw the triangle
Helpppp meeeeeeeeeeeeeeee
Answer:
its the same thing as 3 x3 or 3+3 it always come´s back as 9 or 6 Becasue of its rotation
Step-by-step explanation:
A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $370 allocated for the centerpieces and wants each centerpiece to contain 15 flowers, with twice as many roses as the number of irises and lilies combined. (Let r represent the number of roses, l represent the number of lilies, and i represent the number of irises.)
b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.
How to solvea) The system of linear equations representing the situation is:
r + l + i = 15 (total flowers in one centerpiece)
r = 2(l + i) (twice as many roses as irises and lilies combined)
10(2.50r + 4l + 2i) = 370 (total budget)'
Matrix equation: AX = B, where
A = [[1, 1, 1], [2, -1, -1], [25, 40, 20]],
X = [[r], [l], [i]], and
B = [[15], [0], [370]]
b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.
Read more about linear equations here:
https://brainly.com/question/2030026
#SPJ1
The Complete Question:
A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $370 allocated for the centerpieces and wants each centerpiece to contain 15 flowers, with twice as many roses as the number of irises and lilies combined. (Let r represent the number of roses, l represent the number of lilies, and i represent the number of irises.)
a) Write a system of linear equations that represents the situation. Then write a matrix equation that corresponds to your system.
b) Find the number of flowers of each type that the florist can use to create the 10 centerpieces.
Jane had a salad In her refrigerator she ate 2/8 of it for lunch and 3/8 of it dinner and what fraction of the salad is left
Answer:
3/8
Step-by-step explanation:
2 + 3=5, (8/8)-( 5/8) =3/8
Answer:
3/8
Step-by-step explanation:
plz help figure out the statements and reasons
Answer:
statement- 3 and 4 are supplements
Reason- m1+m2=m3+m4
using the midpoint formula, solve for the midpoint of the segment with these pairs of endpoints (20,-15) and (-11,-10)
Answer:
(9/2, -25/2)
Step-by-step explanation:
The Midpoint Formula: The midpoint of the segment joining points \((x_1,\,y_1)\) and \((x_2,\,y_2)\) is \(\left(\frac{x_1+x_2}{2},\,\frac{y_1+y_2}{2}\right)\).
\(\left(\frac{20+(-11)}{2},\,\frac{-15+(-10)}{2}\right)\)
\((\frac{9}{2},\,-\frac{25}{2})\)
By the way, instead of trying to memorize the formula, why not just think the x-coordinate of the midpoint is the average of the x-coordinates of the points. The y-coordinate of the midpoint is the average of the y-coordinates of the points.
The average of two numbers is exactly halfway between them!
a designer chooses to use an organization that decreases the logic depth of the processor. all else being constant, will the performance likely increase, decrease, or stay the same?
The performance is likely to increase, as the feature size will be reduced, leading to increased efficiency of the processor.
Effect of Decreasing Feature Size on Processor Performance
The performance of a processor is largely determined by its feature size. As the feature size decreases, the processor can process more information in a given time due to the increased efficiency of its components. In this case, the designer has chosen to use a manufacturing process that decreases the feature size of the processor. This means that the processor will be able to process more information in a given time, leading to an increase in performance. All else being constant, the performance of the processor is likely to increase.
Learn more about processors:
brainly.com/question/1504260
#SPJ4
Given the following formula, solve for t.
Option A is the correct answer which is t=(v-u)/a
v= u+ at
This equation defines the behaviour of a physical scheme in order of its movement as a function of time in Newtonian mechanics
where:
v= final velocity
u= initial velocity
t= time
a= acceleration
Now from the following equation
v-u=at(rearrange the term)
t=(v-u)/a [ Option A ]For more information on the equation of motion
https://brainly.in/question/15637862?referrer=searchResults
https://brainly.in/question/17833340?referrer=searchResults
a box contains $24$ tiles. each tile has certain properties: $\bullet$ each tile is made of wood or plastic. $\bullet$ each tile is red, yellow, or blue. $\bullet$ each tile is a triangle, square, pentagon, or circle. there is exactly one tile for each combination of properties. for example, there is one red circle that is made of wood. steve chooses one tile, and ellen chooses a different tile. what is the probability that the two chosen tiles differ with respect to all three properties?
The probability that the two chosen tiles differ with respect to all three properties is found as 1/24.
What is meant by the term probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.Let the probability of the each material be given as;
There is a probability of 1/2 that the tiles will differ in material (wood or plastic).
There is a probability of 1/3 that the tiles will differ in color (r, y or b)
There is a probability of 1/4 that tiles will differ in shape (t, s, p or c)
Thus,
Total probability (two tiles differ with respect to all three properties):
= 1/2 * 1/3 * 1/4
= 1/24
Thus, the probability that the two chosen tiles differ with respect to all three properties is found as 1/24.
To know more about the probability, here
https://brainly.com/question/13604758
#SPJ4
help!! what are these angle measures
Answer:
m1 = 62.5
m2 = 62.5
m3 = 55°
m4 = 75°
m5 = 50°
Step-by-step explanation:
m1: Sides 1 and 2 are congruent so angle will be the exact same as m2:
180° - 55° = 125 | 125 / 2 = 62.5°
m2: same as m1; 62.5°
m3: equivalent to 55° due to its location
m4: angle of a line is 180° so 180° - 105° = 75°
m5: angles of triangle add to 180° so 180° - (75° + 55°) = 50°
3x+y=10
-4x-2y=2
this has to be solved by elimination.
y = 10 + 3 x hopefully this helps im still new tho!
Pls help me out with this!!!,
Considering the extremas, the graph D represents the situation in this problem.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.For this problem, we have that 33 days is the period between the relative maximums of the function, hence graph D represents the situation in this problem.
More can be learned about relative minimums of a function at https://brainly.com/question/9839310
#SPJ1
A woman bought a new color television with
a $40 down payment and 16 monthly pay-
ments of $20 each. What was the total cost
of the television?
18-A $450
18-B $360
18-C $320
18-D
$280
Answer:
B
Step-by-step explanation:
The total cost of the television is $360 if a woman bought a new color television with a $40 down payment and 16 monthly payments of $20 each.
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We know the formula for the monthly payment:
\(\rm Monthly \ Payment \:=\:\dfrac{\left A\left(i\right)\left(1+i\right)^{n}\right}{\left(1+i\right)^{n}-1}\)
It is given that:
A woman bought a new color television with a $40 down payment and 16 monthly payments of $20 each.
Down payment = $40
Number of months = 16
Per month payment = $20
The total cost of the television = 40 + 16(20)
The total cost of the television = 40 + 320
The total cost of the television = $360
Thus, the total cost of the television is $360 if a woman bought a new color television with a $40 down payment and 16 monthly payments of $20 each.
Learn more about the debt here:
brainly.com/question/17286021
#SPJ2
A used car salesperson receives a commission of 1/12 of the sale price for each car he sells would would be sales commission on a car that sold for 15,656
Answer: The commission would be $1304.66
Step-by-step explanation: Multiply the commission rate times the sale amount.
15656 × 1/12 is the same as 15656÷12
The scale of a map is 1: 250 000. On the map a large forest has an area of 6 cm2.
Calculate the actual area of the forest. Give your answer in square kilometres.
Answer:
37.5 km2 ...............
PLS HELP!!
For the function f(x)=x+9. Find (f x f^-1)(5)
Answer:
I hope this helps you
Step-by-step explanation:
y=x+9
x=y-9 f^-1 (x)= x-9
x=5 f^-1 (5)=5-9 = -4
f (f^-1))=f (-4)=?
x= -4
f (-4)=-4+9
f (-4)= 5
A company claims that its tablet computers have an average recharge time of 3 hours with a standard deviation of 1.4 hours. Using a random sample of 50 company tablet computers, a consumer group determines a mean recharge time of 2.5 hours. H0: µ = 3 Ha: µ < 3 a = 5% σ = 1.4 z* = –1.65
A company claims that its tablet computers have an average recharge time of 3 hours with a standard deviation of 1.4 hours. Using a random sample of 50 company tablet computers, a consumer group determines a mean recharge time of 2.5 hours. H0: µ = 3 Ha: µ < 3 a = 5% σ = 1.4 z* = –1.65.
Based on the given information, we can perform a one-sample z-test to determine if the sample mean of 2.5 hours is significantly different from the claimed population mean of 3 hours, with a significance level of 0.05.
The null hypothesis H0 is that the population mean recharge time µ is equal to 3 hours, and the alternative hypothesis Ha is that µ is less than 3 hours.
We will find the test statistic z using the formula
z = (x - µ) / (σ / √n)
Where x is the sample mean of 2.5 hours, µ is the population mean of 3 hours, σ is the population standard deviation of 1.4 hours, and n is the sample size of 50.
z = (2.5 - 3) / (1.4 / √50) = -2.38
The calculated test statistic z of -2.38 is less than the critical value z* of -1.65 at a significance level of 0.05, indicating that we can reject the null hypothesis H0.
Hence, we can conclude that the mean recharge time of the company tablet computers is less than 3 hours, based on the sample of 50 tablets tested by the consumer group.
To know more about standard deviation here
https://brainly.com/question/12032692
#SPJ4
PLEASE HEEEEEEEEELP ME............
Answer:What do you need help with? My name is woods245 and whatever you need help with?
Step-by-step explanation:
Describe geometrically (or make a sketch of) the set of points z in the complex plane satisfying the given equation or inequalities.
a) l z l= 2
b) l z-2i l is less than 3
a) The set of points satisfying the equation |z| = 2 is a circle with radius 2 and center at the origin.
b) The set of points satisfying the inequality |z - 2i| < 3 is an ellipse with center at 2i and semi-major axis 3.
a) The absolute value of a complex number is its distance from the origin. So, |z| = 2 means that all points satisfying this equation are 2 units away from the origin. This forms a circle with radius 2 and center at the origin.
b) The distance between a complex number z and the number 2i is |z - 2i|. So, |z - 2i| < 3 means that all points satisfying this inequality are less than 3 units away from 2i. This forms an ellipse with center at 2i and semi-major axis 3.
Here is a sketch of the two sets of points:
[asy]
import graph;
size(150);
real r = 2;
real a = 3;
pair O = (0,0), C = (2,0);
draw(Circle(O,r));
draw(Circle(C,a));
label("|z| = 2", (r,0), N);
label("|z - 2i| < 3", (3.1,0), N);
[/asy]
Learn more about inequality here:
brainly.com/question/20383699
#SPJ11
a) The set of points satisfying the equation |z| = 2 is a circle with radius 2 and center at the origin.
b) The set of points satisfying the inequality |z - 2i| < 3 is an ellipse with center at 2i and semi-major axis 3.
a) The absolute value of a complex number is its distance from the origin. So, |z| = 2 means that all points satisfying this equation are 2 units away from the origin. This forms a circle with radius 2 and center at the origin.
b) The distance between a complex number z and the number 2i is |z - 2i|. So, |z - 2i| < 3 means that all points satisfying this inequality are less than 3 units away from 2i. This forms an ellipse with center at 2i and semi-major axis 3.
Here is a sketch of the two sets of points:
[asy]
import graph;
size(150);
real r = 2;
real a = 3;
pair O = (0,0), C = (2,0);
draw(Circle(O,r));
draw(Circle(C,a));
label("|z| = 2", (r,0), N);
label("|z - 2i| < 3", (3.1,0), N);
[/asy]
Learn more about inequality here: brainly.com/question/20383699
#SPJ11