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UkoKoshka [18]
2 years ago
12

Rewrite in simplest terms: -8(-2a+4a-8)-7a

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
6 0

Answer:

-23a + 64

Step-by-step explanation:

-8(-2a + 4a - 8) - 7a

First combine like terms

-8(2a - 8) - 7a

Then distribute

-16a + 64 -7a

Combine like terms

-23a + 64

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What is the equation of the line that is perpendicular to the given line and passes through the point (5,3)
Pani-rosa [81]

perpendicular lines have a slope that is a negative reciprocal


A) 4x-5y=5

subtract 4x

solve for y

-5y = -4x+5

divide by -5

y = 4/5 x+5   slope is 4/5  perpendicular slope is -5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = -5/4 (x-5)

B)  5x+4y = 37

subtract 5x

4y =-5x +37

divide by 4

y =-5/4 x +37/4  slope is -5/4 perpendicular slope is 4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = 4/5 (x-5)

C)4x+5y=5

subtract 4x

5y = -4x +5

divide by 5

y = -4/5 x +1

y =-4/5 x +1  slope is -4/5 perpendicular slope is 5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = 5/4 (x-5)

D)5x-4y=8

subtract 5x

-4y = -5x+8

divide by -4

y = 5/4 x-2

y =5/4 x +-2 slope is 5/4 perpendicular slope is -4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = -4/5 (x-5)



6 0
3 years ago
HELP ME WITH 6-10 PLS
adelina 88 [10]

6. = 0.0000004834

7. = 0.0000506

8. = 0.00098

9. = 64580000

10. = 1398600000

7 0
3 years ago
△PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined a
Nonamiya [84]
B.the triangles are not similar
7 0
3 years ago
Please help I wasn't taught this
Alinara [238K]

the equation would be E=10h+15

1=25

2=35

3=45

4=55

5 0
3 years ago
11 people enter a pie eating contest. how many ways can the prize be awarded to the top 3
True [87]
This is a permutation question because we care about the order.
We can demonstrate this by letting each person be a person in the pie eating contest.

A   B   C   D   E   F   G   H   I   J   K

_   _   _

Now, there are 11 ways for the first prize to be won, since there are no restrictions upheld. Let's say A wins the first prize.

B   C   D   E   F   G   H   I   J   K

A   _   _

Now, assuming prizes aren't shared, there are only ten people left to win the second prize.
Using this logic, then we can say that nine can win the third prize.

Thus, our answer is 11 · 10 · 9 = 990 ways.

However, this method works for this question.
What happens when the number of places we want gets significantly larger?
That's when we introduce the permutation formula.

We know that 11·10·9·8·7·6·5·4·3·2·1 = 11!, but we don't want 8! of them.
This is the formula for permutation.

^{11}P_3 = \frac{11!}{(11 - 3)!} = 990
8 0
3 years ago
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