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just olya [345]
3 years ago
15

Find the coordinates of the vertices of the image of triangle ijk after it is dilated by a scale factor of two using the organ a

s the center of dilation
DUE TODAY PLEASE HELP!

Mathematics
1 answer:
ycow [4]3 years ago
8 0
What are the answer choices?
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The points (7,r) and (8,9) fall on a line with a slope of 5. What is the value of r?
mrs_skeptik [129]

Answer:

r = 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 5

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, r ) and (x₂, y₂ ) = (8, 9)

m = \frac{9-r}{8-7} = \frac{9-r}{1} = 9 - r = 5 ( subtract 9 from both sides )

- r = - 4 ( multiply both sides by - 1 )

r = 4

7 0
3 years ago
14. -9(2.7 -1.55) + 33<br> what is the answer
Andreas93 [3]

Answer:

25.15

Step-by-step explanation:

2.7 - 1.55= 1.15 + 33= 34.15 - 9= 25.15

8 0
3 years ago
Write the coordinates of the vertices after a reflection over the x-axis. 1072
Liula [17]

The reflection about x-axis results in same x coodinate with oppositive of y coordinate. It can be expressed as,

(x,y)\rightarrow(x,-y)

Determine the coordinates of the vertices after reflection over the x-axis.

Q(6,-8)\rightarrow Q^{\prime}(6,8)R(7,-8)\rightarrow R^{\prime}(7,8)S(7,-5)\rightarrow Q^{\prime}(7,5)T(6,-5)\rightarrow T^{\prime}(6,5)

6 0
1 year ago
Rationalize the numerator. <br><img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B144x%20%7D%20%7D%7B%20%5Csq
Simora [160]

rationalizing the numerator, or namely, "getting rid of that pesky radical at the top".


we simply multiply top and bottom by a value that will take out the radicand in the numerator.


\bf \cfrac{\sqrt[3]{144x}}{\sqrt[3]{y}}~~&#10;\begin{cases}&#10;144=2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\\&#10;\qquad 2^3\cdot 18&#10;\end{cases}\implies \cfrac{\sqrt[3]{2^3\cdot  18x}}{\sqrt[3]{y}}\implies \cfrac{2\sqrt[3]{  18x}}{\sqrt[3]{y}}&#10;\\\\\\&#10;\cfrac{2\sqrt[3]{  18x}}{\sqrt[3]{y}}\cdot \cfrac{\sqrt[3]{(18x)^2}}{\sqrt[3]{(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)(18x)^2}}{\sqrt[3]{(y)(18x)^2}}\implies \cfrac{2\sqrt[3]{(18x)^3}}{\sqrt[3]{18^2x^2y}}


\bf \cfrac{2(18x)}{\sqrt[3]{324x^2y}}~~&#10;\begin{cases}&#10;324=2\cdot 2\cdot 3\cdot 3\cdot 3\cdot 3\\&#10;\qquad 12\cdot 3^3&#10;\end{cases}\implies \cfrac{36x}{\sqrt[3]{12\cdot 3^3x^2y}}&#10;\\\\\\&#10;\cfrac{36x}{3\sqrt[3]{12x^2y}}\implies \cfrac{12x}{\sqrt[3]{12x^2y}}

3 0
3 years ago
Read 2 more answers
Can someone help me out on these geometry questions? Its urgent, gotta have answers fast
almond37 [142]

5) Transitive property of equality

6) Addition property of equality

7) Subtraction property of equality

8) Division property of equality

9) Multiplication property of equality

10) Transitive property of congruence

11) Substitution property of equality

12) Addition property of equality [add XY to both sides then use segment addition postulate]

13) Subtraction property of equality [subtract XY from both sides then use segment subtraction postulate]

14) Angle addition postulate

15) Addition property of equality [add angle 2 to both sides then use angle addition postulate]

16) Transitive property of equality

6 0
2 years ago
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