Answer:
a)ab=-6×+4=-24
b)a÷d=-6÷-2=3
c)2bd=2×+4×-2=-16
Step-by-step explanation:
Put the values according to the question
Hope it help you
The number that twice the sum of it and negative seven is eight is 11.
<h3>How to find the number ?</h3>
Twice the sum of the number and negative seven is eight. The number can be found as follows:
let
the number = x
According to the word expression, twice the value of the addition of x and minus seven is equals to 8. Hence, we will find the value of x in the equation formed from the words expression.
The variable x is the required number.
Therefore,
2(x + (-7)) = 8
2(x - 7) = 8
open the brackets
2(x - 7) = 8
2x - 14 = 8
add 14 to both sides of the equation
2x - 14 = 8
2x - 14 + 14 = 8 + 14
2x = 22
divide both sides by 2
x = 22 / 2
x = 11
learn more on numbers here: brainly.com/question/11234992
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Answer:
The value of c is 8.
Step-by-step explanation:
When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :
![p(x) = 4 {x}^{3} + c {x}^{2} + x + 2](https://tex.z-dn.net/?f=p%28x%29%20%3D%204%20%7Bx%7D%5E%7B3%7D%20%20%2B%20c%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20%2B%202)
![p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2](https://tex.z-dn.net/?f=p%28%20-%202%29%20%3D%204%20%7B%28%20-%202%29%7D%5E%7B3%7D%20%20%2B%20c%20%7B%28%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%28%20-%202%29%20%2B%202)
![4( - 8) + 4c - 2 + 2 = 0](https://tex.z-dn.net/?f=4%28%20-%208%29%20%2B%204c%20-%202%20%2B%202%20%3D%200)
![- 32 + 4c = 0](https://tex.z-dn.net/?f=%20-%2032%20%2B%204c%20%3D%200)
![4c = 32](https://tex.z-dn.net/?f=4c%20%3D%2032)
![c = 32 \div 4](https://tex.z-dn.net/?f=c%20%3D%2032%20%5Cdiv%204)
![c = 8](https://tex.z-dn.net/?f=c%20%3D%208)
Recall that in a right-triangle, the hypotenuse, or longest side, is √(a²+b²).
![\bf \sqrt{4.1^2+6.2^2}\qquad \approx\qquad 7.43303437 \\\\\\ \sqrt{40^2+60^2}\qquad \approx\qquad 72.1110255 \\\\\\ \sqrt{3.2^2+5.4^2}\qquad \approx\qquad 6.27694193 \\\\\\ \sqrt{33^2+56^2}\qquad =\qquad 65](https://tex.z-dn.net/?f=%5Cbf%20%5Csqrt%7B4.1%5E2%2B6.2%5E2%7D%5Cqquad%20%5Capprox%5Cqquad%207.43303437%0A%5C%5C%5C%5C%5C%5C%0A%5Csqrt%7B40%5E2%2B60%5E2%7D%5Cqquad%20%5Capprox%5Cqquad%2072.1110255%0A%5C%5C%5C%5C%5C%5C%0A%5Csqrt%7B3.2%5E2%2B5.4%5E2%7D%5Cqquad%20%5Capprox%5Cqquad%206.27694193%0A%5C%5C%5C%5C%5C%5C%0A%5Csqrt%7B33%5E2%2B56%5E2%7D%5Cqquad%20%3D%5Cqquad%2065)
pick your poison.
Answer:
A. 3
Step-by-step explanation:
ΔDEC is bigger than ΔABC by 5. For the hypotenuse, 25 is 5 times bigger than 5.
So, side DE on ΔDEC has to be 5 times bigger than side AB on ΔABC.
If side AB equals 3, side DE equals 18 - 3, which is 15.
15 is five times bigger than 3, so the answer is A. 3.
Hope that helps.