First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
Answer:
-3
Step-by-step explanation:
Perimeter of triangle = 3(side)
P = 3(s)
12 = 3s
12/3 = s
4 = s
I think there is a typo in your post.
The question should be: WHICH ONE OF THE FOLLOWING IS A POSSIBLE SIDE OF THE TRIANGLE?
In that case, 4 cm is the answer. However, 4 cm is not listed among the choices. So, choice d is the answer.
<h3><u>
Answer:</u></h3>
Hence, the value of z is:
20
<h3><u>
Step-by-step explanation:</u></h3>
The point C is the mid point of the line segment VW.
That is it divides the line segment VW into two equal segments.
i.e. Length of segment VC= Length of line segment CW.
Also we are given that:
Length VW=61
Length VC=z+13
and Length CW=z+8
This means that:
VC+CW=VW
i.e. z+13+z+8=61
⇒ 2z+21=61
⇒ 2z=61-21
⇒ 2z=40
⇒ z=20
Hence the value of z is:
20
After 2 hours time , both Abe and Gabe to cost the same amount .
<u>Step-by-step explanation:</u>
Here we have , a car needs fixing and Abe can fix it for $70 per hour with a $60 part, but Gabe can fix it for $80 an hour with a $40 part. We need to find How long will it take for both Abe and Gabe to cost the same amount .Let's find out:
Let the time for which both Abe and Gabe to cost the same amount be x hours, so according to question scenario we will have equation as :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , After 2 hours time , both Abe and Gabe to cost the same amount .
