Answer:
x = - 1
Step-by-step explanation:
Given
4x = x^2 - 5 Transfer 4x to the right side.
Solution
x^2 - 4x - 5 = 0 Factor
(x - 5)(x + 1)
You want the negative solution. That means that the middle sign must be plus.
x + 1 = 0 Subtract 10 from both sides
x = - 1 Ten on the left disappears by the subtraction process.
Is that correct?
4x = x^2 - 5
x = - 10
4*(-1) = (-1)^2 - 5
-4 = ? 1 - 5
-4 = - 4
and it does work.
Answer:
-1.5
Step-by-step explanation:

Let's solve ~

[ according to given figure ]




Correct choice is D
A linear function is when a variable y varies directly with a variable x. That is, when y increases, x also increases and the opposite is also true. THerefore, the correct answer from the choices listed above is the first option. Every day, the number of bacteria in the dish is 3 times what it was the previous day can be <span>represented by a linear function.</span>
Step-by-step explanation:
> find the angle of center circle:
cos~¹ 5/(5+12) = cos~¹ 5/17 = 72°
so the sector area of the shaded
region =
(360-72)/360 × 3.14 × 5²
= 288/360 × 78.5
= 62.8
> the height of triangle (red Line) =
4×tan 72° = 4× 3.078 = 12.31
the height of pyramid (green
Line) = √12.31²-8.5² =√74.16
= 8.61
so the volume of pyramid =
⅓×(17×8)×8.61 = 390.32