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Elza [17]
3 years ago
14

Write an equation for a line through (9, -11) that is parallel to the line y = - 23 x + 4

Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

y = -23x + 196

Step-by-step explanation:

Let equation of the line be y = mx + c

since it is parallel to line y = -23x + 4,

their slope/gradient will be the same (aka m = -23)

sub (9, -11):

-11 = -23(9) + c

c = 196

therefore, equation of the line is y = -23x + 196

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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Answer:

A. 8

Step-by-step explanation:

32 divided by 4 = 8

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The graph shows the dilation of quadrilateral MNOP with the origin as its center. Which rule describes this transformation?
lana66690 [7]

Answer:

D) (x, y) → (1/3x , 1/3 y)

Step-by-step explanation:

A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged.  If the dilation factor is smaller than 1, the figure is shrinked.  In both cases, the coordinates are MULTIPLIED by the dilation factor.

Among the 4 choices, only 2 are dilations.  One is with a dilation factor of 3 (A), which means the shape was enlarged.  And the other is with  dilation factor of 1/3, meaning the shape was shrinked.

Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.

Answers B and  C show a translation/movement of the shape, not a dilation.

8 0
3 years ago
Find the number, d, if the sum of five times d and five times five is a<br> hundred.
Gelneren [198K]

The value of d from the given expression is 15

<h3>Word problem leading to equation</h3>

From the given statement the sum of five times d and five times five is a

hundred is interpreted as;

5d + 5(5) = 100

5d + 25 = 100

Subtract 25 from both sides

5d = 100 - 25

5d = 75

d =15

Hence the value of d from the given expression is 15

Learn more on word problem here: brainly.com/question/13818690

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1 year ago
Find hcf of y-b,y²-b² and y²-2yb+b²​
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Answer:

your answer will be y-b because it is common in all the expression

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