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Anon25 [30]
3 years ago
10

Solve these equations for the variable. (4p-4)(13p+27)

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Answer:

p is approximately equal to 1.125,  -1.925

Step-by-step explanation:

We can solve this first by expanding, giving us a quadratic equation in the usual ax² + bx + c format, then solving that for p:

(4p - 4)(13p + 27) = 0

52p² + 108p - 52p - 108 = 0

52p² + 52p - 108 = 0

13p² + 13p - 27 = 0

13p² + 13p  = 27

p² + p = 27 / 13

p² + p + 1/4 = 27/13 + 1/4

(p + 1/2)² = 108 / 52 + 13 / 52

(p + 1/2)² = 121 / 52

p + 1/2 = ± √(121 / 52)

p = -1/2 ± 11√(1/13) / 2

At that point we can simply plug those numbers into a calculator and solve it:

p ≈ 1.125,  -1.925

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(0+9)/(4+7)=9/11
Since q is parallel to r the slope will be the same. 9/11 is the slope of line r
4 0
3 years ago
In trapezoid TRAP, m∡T = 75∘.
blagie [28]

Answer:

answer is 115

Step-by-step explanation:

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8 0
3 years ago
Show work plz
Mazyrski [523]
So first we need to get rid of that naughty sales tax so we need to divide 30.45 by 1.05 since 30.45 is 105% of the pre-tax price. We get the answer of 29 and subtract 12 from 29 since the long fleece socks cost 12 bucks and we get 17 dollars. Since there are 2 pairs of regular songs we divide 17 by 2 and get 8.5

So the regular socks cost $8.50

Checking work 8.5*2=17
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If u need more help feel free to ask me
3 0
3 years ago
HELP!! Use the properties of addition to simplify this expression. 6-8 +6f-2f​
borishaifa [10]

Answer:

-2 + 4f

Step-by-step explanation:

6 - 8 + 6f - 2f​

2(3 - 4 + 3f -f)     [Distributive Property]

=> 2(-1 + 3f - f)

=> 2(-1 + 2f)

=> -2 + 4f

5 0
2 years ago
Read 2 more answers
( 7k^8m) ( k^13m^7)÷(14k^20 m^9)​
guapka [62]

Answer:

k=9

Step-by-step explanation:

Here's how to solve this equation

Step 1: -7(k+9)=9(k-5)-14k

Step 2: -7k-63=(9k-45)-14k

Step 3: -7k-63=-5k-45

Step 4: -7k=-5k+18

Step 5: -2k=18

Solution: k=-9

Good luck on your assignment, hope this helps

8 0
2 years ago
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