Answer:
11 up , 11 left
Step-by-step explanation:
Given
to 
Required
Determine the translation rule
Considering the x coordinates.
From 17 to 6
6 is to the left of 17.
Using the translation rule:
<em>Hence: From 17 to 6 is 11 units left translation</em>
Considering the y coordinates.
From -9 to 2
2 is at the top -9.
Using the translation rule:
The negative value impies a upward translation.
Hence: From -9 to 2 is 11 units up translation
Answer: f(x) = -0.016x² + 1.6x
Step-by-step explanation:
If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.
So, we have
(0,0) (50,40) (100,0)
A quadratic function is always on the form: f(x) = ax² + bx + c
0 = a0² + b0 + c
40 = a50² + b50 + c
0 = a100² + b100 + c
0 = a0² + b0 + c → c = 0 ∴
40 = a50² + b50
0 = a100² + b100
_________________________
2500a + 50b = 40 (*2)
10000a + 100b = 0
_________________________
5000a + 100b = 80
10000a + 100b = 0 (-)
__________________________
-5000a = 80
-a=80/5000
a=-0.016
∴
2500a + 50b = 40
2500.(-0.016) + 50b = 40
-40 + 50b = 40
50b = 80
b = 80/50
b = 1.6
This way f(x) = -0.016x² + 1.6x
Answer:
4
Step-by-step explanation:
Answer: Slope = 1
Step-by-step explanation:
Slope = <u>Y2 - Y1</u> <u> -6 -- 5</u> <u>-6 + 5</u> = <u> -1</u> = 1
X2 - X1 -3 --2 -3 + 2 -1
Answer:
z = 23 degrees
Step-by-step explanation:
Total degree inside a triangle = 180
We can add up the 2 angles we got.
62 + 95 = 157
Subtract 157 from 180.
180 - 157 = 23
Check = the angle missing is an acute angle (less than 90 degrees) and 23 is less than 90 degrees so it is possible.
I hope this helped and please mark me as brainliest!
