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erik [133]
3 years ago
7

Rewrite the expression by factoring out the GCF 36y to the second power + 54y

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0
36y^2+54y=18y\cdot2y+18y\cdot3=18y(2y+3)
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CD is perpendicular to AB and passes through point C5, 12).
Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD mCD = -\frac{1}{mAB}

Hence we start from determining slope of AB

slope is given as

m= \frac{y_2-y_1}{x_2-x_1}

m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1

Hence mAB=1

There fore mCD=-1

(∵  Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

m=\frac{y-y_1}{x-x_1}

-1=\frac{y-12}{x-5}

-x+5=y-12

y=-x+17

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

0=-x+17

x=17

Hence the x intercept is 17

8 0
2 years ago
Please help!!!! My assignment is almost due!!!
NeX [460]

Answer:

15

Step-by-step explanation:

the triangles are similar so will be the same proprotion,

I have attached a picture showing how I solved this. the second traingle is 3 times as large (15 by 12)   compared to the first triangle which is 4 by 5.

3 0
2 years ago
Read 2 more answers
Simplify the given equation. 6 - (3x 10) 4(2 - x) = 15
mamaluj [8]

Answer:

6 − 30 x ,  8 − 4 x

Step-by-step explanation:

hopefully this helps

4 0
3 years ago
Read 2 more answers
What number between 30 and 40 has only one and itself as factors?
ANEK [815]
The numbers between 30 and 40 whose only factors are one and themselves, also called prime numbers, are 31 and 37.<span> Prime numbers are useful in generating numerical passwords or codes that are difficult to crack. so A) is the answer
</span>

8 0
3 years ago
What is the answer? 8 x 4 + 9^2
Anuta_ua [19.1K]
8 x 4 is equal to 32 and 9^2 is 81. You add them together and get 113.
6 0
3 years ago
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