Step-by-step explanation:
when scaling all dimensions must be multiplied by the same factor.
64 was first scaled ft to in, and then by 2.8/64.
now we need to do the same for the width :
80 × 2.8/64 = 3.5 in
Answer:
the x-intercepts are (5, 0) and (-3, 0).
Step-by-step explanation:
The standard equation of a vertical parabola with vertex at (h, k) is
y = a(x - h)^2 + k.
Here we are told that the vertex is at (1, -16), which means that h = 1 and y = -16. Thus, we have:
y = a(x - 1)^2 + (-16).
We are told also that the graph passes through (0, -15). Substituting -15 for y and 0 for x, we get:
-15 = a(0 - 1)^2 - 16, or
-15 = a - 16
Then a must be 1, and the equation of the parabola is
y = (x - 1)^2 - 16.
Now to find the x-intercepts: Set y = 0 and solve for x:
0 = (x - 1)^2 - 16, or
(x - 1)^2 = 16, or
x - 1 = ±√16 = ±4
Then x = 1 ± 4, or x = 5 or x = -3, so the x-intercepts are (5, 0) and (-3, 0).
Hello and Good Morning/Afternoon
<u>Let's take this problem step-by-step</u>:
<u>First step</u>
⇒ consider the fact cotθ = 1 / (tanθ)
<u>Second step</u>
⇒ form a common denominator for the fraction in the 'denominator'
<u>Let's flip over the fraction on the denominator</u>
<u>And there you go, you have </u><u>proved the statement</u> by <u>following these steps!</u>
*note, I used 'x' because the equation creator didn't have 'θ' symbol
Hope that helps!
#LearnwithBrainly
Answer:
70%
Step-by-step explanation:
14 out of 20 is 14/20=7/10
7/10 is 70%
Answer:
8
Step-by-step explanation:
-(5 – 9) - (-2)(2)
-(-4) - (-2)(2)
4 - (-4)
4 + 4
8
Use PEMDAS
