Answer:
5x - y + 38 = 0
Step-by-step explanation:
solution:
slope(m) = 5
(x1 , y1) = (-8 , -2)
we know that,
(y - y1) = m(x -x1)
or, (y - -2) = 5(x - -8)
or, y+2 = 5(x + 8)
or, y+2 = 5x +40
or, 5x - y + 38 = 0 is the required equation
The graph below shows the solution to which system of inequalities?
The following graph represents the function f(x). Sketch and label the following functions on the same coordinate plane
Answer:
It's in the attachment
hope it helps...
have a great day!!
Find the first 4 terms of:
Σ ()
N=1
(9 n - 6).
Help please
A1 = 9 × 1 - 6 = 3
A2 = 18 - 6 = 12
A3 = 27 - 6 = 21
A4 = 36 - 6 = 30.
Step-by-step explanation:
Σ ( 9n - 6 ) , n = 1
An = general term.
let Σ (An) = Σ (9n-6)
An = 9n-6
to determine the terms, plug in the value of n into the general term(An)
If you're asked for the 1st term then n = 1
if you're asked for the 2nd term then n = 2. and so forth.
To find the 1st 4 terms, just plug in 1 up to 4 into n bit by bit.
An = 9n - 6
A1 = 9 × 1 - 6 = 3
A2 = 18 - 6 = 12
A3 = 27 - 6 = 21
A4 = 36 - 6 = 30. done.
write the terms from 1 to 4 like this :
{ A1, A2, A3, A4 } = { 3, 12, 21, 30 }.
PLEASE ANSWER NOW I NEED THIS ASAP FOR 100 POINTS!!!!
\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
The given fraction is \(1\frac{3}{4}\).
\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.
Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.
Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.
Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.
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Step-by-step explanation:
1ft=12in
1¾ft=x
x=12×7/4=21in
1¾ft=1¾×1 ft
Need help with thissss!!
Answer:
f(5) = 38
Step-by-step explanation:
f(a) = 7(a + 1) - 4
f(5) = 7(5 + 1) - 4
f(5) = 7(6) - 4
f(5) = 42 - 4
f(5) = 38
The height of a right triangular prism is 1 5/6 inches each side of the triangular base measures 10 inches and the height of the bases eight2 over 3 inches the triangular prism is place to top of cube whose side measures 10 inches so that one of the triangular prisms bases lies completely on one side of the cube what is the surface area of the solid formed
The surface area of the solid formed is approximately, 598.3 in².
What is the Surface Area of a Right Triangular Prism?Surface area of the solid is the area covered by the solid all round.
The given parameters are:
Height of the prism (L) = 1 5/6 = 1.83 in.Side of base (s1) = 10 in.Side of base (s2) = 10 in.Side of base (s3) = 8 2/3 = 8.67 in.base (b) = 10Height (h) = 8.67 in.a = 10 in.Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²
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A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
b = 21.93
Step-by-step explanation:
This can be solved using Pythagorean theorem. Basically your hypotenuse or c is the length of the ladder, your base or a value is 12 and you're trying to find the height of the wall which is your b
\(a^2 + b^2 = c^2\\c^2 - a^2 = b^2\\(25)^2 - (12)^2 = b^2\\625 - 144 = b^2\\b= \sqrt{481} \\b = 21.93...\\b = 21.93\)
ANSWER NOW PLS
х
х
60°
у
60°
y = [? ]
Enter
Answer:
90°
Step-by-step explanation:
2x = 60° and x = 30 the sum of interior angles in a triangle is = 180°
60° + 30° + y = 180°
y = 90°
please help me solve this
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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Congratulations! Because of your new skills with rewriting fractions and decimals, you have been put in charge of the Designer Decimals Department of the Fraction Factory. People write to your department and order their favorite fractions rewritten as beautiful decimals.
Recently, your department has received some strange orders. Review each order below and decide if you can complete it. If possible, find the new fraction or decimal. If it is not possible to complete the order, write to the customer and explain why the order cannot be completed.
Order 1: “I’d like a terminating decimal to represent 44/99.”
Order 2: “Could you send me 0.208 as two different fractions, one with 3000 in the denominator and one with 125 in the denominator.”
Order 3: “Please send me 0.43 written as a fraction.”
Answer:
cannot be completed. 9 is not a multiple of 2 and/or 50.208 = 624/3000 = 26/12543/100Step-by-step explanation:
In order for a fraction to be a terminating decimal fraction, the denominator can only consist of powers of 2 and 5 (factors of 10).
__
Order 1:The denominator factors as 99 = 3²·11. The denominator contains factors other than 2 and 5, so 44/99 cannot be written as a terminating decimal.
The decimal equivalent is ...
\(\dfrac{44}{99}=\dfrac{4}{9}=0.\overline{4}\)
__
Order 2:The numerator of each fraction can be found by multiplying the fraction by the desired denominator.
3000(0.208) = 624 ⇒ 0.208 = 624/3000
125(0.208) = 26 ⇒ 0.208 = 26/125
__
Order 3:0.43 = forty-three hundredths = 43/100
Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Since corresponding parts of
congruent triangles are congruent, angle ZWY is congruent to angle XWY and angle ZYW is congruent to angle XYW.
True or False: Mai can now conclude that diagonal WY bisects angles ZWX and ZYX.
True
O False
It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX
Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:
Diagonal WY bisects angles ZWX and ZYX because:
all corresponding parts of both triangles are congruent. (Option A).
If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.
Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.
If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).
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Find a rational number halfway in between the two numbers,4and15
SOLUTION
The final answer is 27/70
For this question, we are simply finding the arithmetic mean between the two rational numbers, that will give us the value of the rational number that is halfway.
\(\begin{gathered} =\frac{\frac{4}{7}+\frac{1}{5}}{2} \\ =\frac{\frac{27}{35}}{2} \\ =\frac{27}{35}^{}/\frac{2}{1} \end{gathered}\)\(\begin{gathered} =\frac{27}{35}\text{ }\times\text{ }\frac{1}{2} \\ =\frac{27}{70} \end{gathered}\)The final answer is
\(\frac{27}{70}\)
For example, for a circle of diameter 4 cm, the circumference is approximately
cm.
Answer:
the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.
Step-by-step explanation:
Over a period of one year, a retailer sells widgets at 11
different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated.
The regression equation is: y = -0.0068824x + 36.8881
So, the correct option is:
D) None of these.
To compute the regression equation based on the given data, we can use the formulas for slope (b1) and y-intercept (bo):
b1 = (NΣXY - ΣXΣY) / \((N\sum X^2 - (\sum X)^2)\)
bo = (ΣY - b1ΣX) / N
Where:
N = Number of data points (in this case, 11)
ΣX = Sum of all X values (prices)
ΣY = Sum of all Y values (average number of pounds sold per day)
ΣXY = Sum of the product of X and Y values
\(\sum X^2\) = Sum of the squares of X values
Using the provided data:
Ex = 210
Xy = 450
Zcy = 10387
Zz = 7275
Xy = 42471
Let's calculate the required values:
N = 11
ΣX = Ex + Zcy + Zz = 210 + 10387 + 7275 = 17872
ΣY = Xy = 450
ΣXY = Xy = 450
\(\sum X^2 = (Ex)^2 + (Zcy)^2 + (Zz)^2 = (210)^2 + (10387)^2 + (7275)^2 = 239208144\)
Now, substitute these values into the formulas to find b1 and bo:
\(b1 = (11 \times450 - 17872 \times 450) / (11 \times239208144 - (17872)^2)\)
= -14112250 / 2050445128
≈ -0.0068824
bo = (450 - (-0.0068824 \(\times\) 17872)) / 11
= (450 + 122.7790368) / 11
≈ 36.8881
Therefore, the regression equation is:
y = -0.0068824x + 36.8881
So, the correct option is:
D) None of these.
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The complete question may be like:
Over a period of one year, retailer sells widgets at 11 different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated. Ex = 210, Xy = 450, Zcy = 10387, Zz? 7275 Xy? 42471 Compute the regression equation , SELEC A) y 0.20261x + 0.549951 B) y = 0.549951x + 30.410021 C) y = 0.20261. + 30.410021 D) none of these =b1x + bo.
Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
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Please help asap! (the question is on the picture)
Answer:
the answer is 3
explanation:
3x+6/9= 3*7+6/9= 27/9 =3
Convert the equation into standard form 25x^2 -9y^2+200x +18y +166=0
Answer:
Step-by-step explanation:
You'd have to be really familiar with conic sections to know what to do with this. Good thing I am! ; )
Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:
\(25x^2+200x-9y^2+18y=-166\)
Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:
\(25(x^2+8x)-9(y^2+2y)=-166\)
Now take half the linear term in each set of parenthesis, square it, and add it in to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:
\(25(x^2+8x+16)-9(y^2+2y+1)=-166+400-9\)
Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we REALLY added in. And the -9 comes from multiplying the -9 times 1.
The reason we do this is to get the perfect square binomials on the left that we created while completing the square:
\(25(x+4)^2-9(y+1)^2=225\)
Now, finally we will divide both sides by 225 to get this conic into standard form:
\(\frac{(x+4)^2}{9} -\frac{(y+1)^2}{25} =1\)
This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.
Which ordered pair is a solution to the system of inequalties?
y > –x
y ≤ x + 1
Answer:
B) (4, -1)
Step-by-step explanation:
A violates the rule of y <= x + 1, because 3 > 1 + 1
C violates the rule of y <= x + 1, because 5 > 0 + 1
D violates the rule of y > -x, because 0 < -(-4) = 4
B conforms to both rules: -1 > -4 and -1 <= 4 + 1.
Answer:
B) (4,–1)
Step-by-step explanation:
A graph can help you figure this out. The point (4, -1) is in the doubly-shaded area, so is a solution to this system.
Please answer! I will give you the brainliest :)
Answer:
K
Step-by-step explanation:
(1*500 * 5) + (10 * 3*500)
=
The graph of y = axis shifted up 3 units and right 5 units.
Which equation represents the resulting graph?
O y = a(x – 3)2 + 5
Oy = a(x – 5)2 + 3
O y = (x + 3)2 + 5
Oy = a(x + 5)2 + 3
M
Answer:
Third one down
Your answer is y= a(x - 3)2 + 5
Tell what whole number you can substitute for z in the following list so the numbers are ordered from least to greatest.
1/x, x/3, 80%
The whole number that can be substituted for z is 1.
The whole number you can substitute for zTo order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.
1/x can be rewritten as 0.01/x
80% can be written as 0.8
So, the list becomes:
0.01/x, x/3, 0.8
To compare 0.01/x and x/3, we can cross-multiply and simplify:
0.01/x < x/3
0.01*3 < x^2
0.03 < x^2
x > sqrt(0.03)
Since x has to be a whole number, the smallest possible value for x is 1.
So, substituting x = 1, the list becomes:
0.01, 1/3, 0.8
Ordering these from least to greatest, we get:
0.01, 0.8, 1/3
Therefore, the whole number that can be substituted for z is 1.
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please help me i need help asap my teacher is coming
Answer:
B
Step-by-step explanation:
Fewest sales: blue cars, not red cars.
Most sales: silver cars, not white.
Black cars: 24
Red cars: 12
Twice as many black cars as red cars were sold.
Silver cars: 30
White cars: 25
Silver is not twice white.
Answer: B
HELP ! Use substitution to solve each system of equation , with checks
I found this when I searched .
Help plz:) photo attached
Answer:
y=5x+25
Step-by-step explanation:
Since the y intercept for the scatterplot is 25, that means that the only equation that matches the graph is y=5x+25
y=5(0)+25
y=0+25
y=25
What is the answer to this question and how to solve?
Answer:
Line ZL and line LZ.
Step-by-step explanation:
Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.
Brainliest please.
Answer:
Step-by-step explanation
Oh
What is the standard form for 4x10,000+8x1,000+2x100+3x10+6x1+7x1/10
choices
48,237.07
48,236.7
4,830.07
none of these
:)
Answer:
48,236.7
Step-by-step explanation:
40,000 + 8,000 + 200 + 30 + 6 + 7/10
7/10 can also be written .7
what is 337/25 simplified
Answer: 13.48
Step-By-Step:
Hello there! I will be showing the steps. Let me know if you have any questions or concerns in the comments.
Step 1: For the denominator, recognize that 25 × 4 = 100.
Multiple = 4
Step 2: Multiply both the numerator and denominator by the multiple 4.
\(\frac{337 *4 }{25 * 4}\)
Step 3: Simplify.
\(\frac{1348}{100}\)
Step 4: Simplify.
13.48
~I hope I helped you! :)~
When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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If PQ¯ is tangent to circle R at point Q, and PS¯ is tangent to ⊙R at point S, what is the perimeter of quadrilateral PQRS?
The perimeter of PQRS would depend on the lengths of the tangent segments and the lengths of the intercepted arcs. Without specific measurements, we cannot determine the precise perimeter.
To determine the perimeter of quadrilateral PQRS, we need more information about the lengths of the sides or the relationship between the sides and angles. Without specific measurements or additional details, we cannot calculate the exact perimeter of the quadrilateral.
However, we can provide some general information.Since PQ¯ is tangent to circle R at point Q, it is perpendicular to the radius drawn from the center of the circle to point Q. Similarly, PS¯ is tangent to circle R at point S, so it is perpendicular to the radius drawn to point S.
The quadrilateral PQRS is formed by the tangents PQ¯ and PS¯ along with the two arcs intercepted by these tangents on the circle R.
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What are the coordinates of point B on AC Such that the ratio of AB to AC is 5:6
\((-3\frac{1}{6}, \frac{2}{3} )\)
Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11
What is the section formula in co-ordinate geometry?When the line segment is divided internally in the ration m:n, we use this formula. That is when the point C lies somewhere between the points A and B. p= (mx₂+nx₁)/(m+n) & q= (my₂+ny₁)/(m+n)
Given here, point B on AC Such that the ratio of AB to AC is 5:6
Let the point B(p,q) internally divide the line joining points A(x₁, y₁) and C(x₂, y₂) in the ratio m : n , then,
p= (mx₂+nx₁)/(m+n)
q= (my₂+ny₁)/(m+n)
Here. m=5 and n=6
p=(5x₂+6x₁)/11 , q=(5y₂+6y₁)/11
Hence, Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11
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