Answer:
x= 3, y= -2
Step-by-step explanation:
5x+3y= 9
x= 25÷7 + 2÷7 y
5(25÷7 +2÷7 y)
5( 25÷7 +2÷7 y ) + 3y= 9
y= -2
x= 25÷7 + 2÷7 x (-2)
x= 3
Answer:
AA similarity postulate
Explanation:
For triangle XZY, the angles are 90°, 40°, 50°.
For triangle AXB, the angles are 90°, 40°, 50°.
Which states that all the angles are of equal measure in the triangles.
This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.
First calculate the distance covered going down:
d_down = (16 m / s) * 8 s = 128 m
Then the distance going up is:
d_up = 71 m
So the distance from the ledge to the nest is:
d = 128 m – 71 m = 57 m
Therefore the elevation is:
<span>elevation = 1364 m + 57 m = 1421 m</span>
Answer:
y+2 = 2(x+2)
Step-by-step explanation:
given point (a,b) and slope m, point slope form of a line is:
y-b = m(x-a)
9514 1404 393
Answer:
- left 3 units
- up 4 units
- shape: lower left image
Step-by-step explanation:
For a parent function f(x), the transformations ...
g(x) = a×f(x -h) +k
cause ...
- vertical expansion by 'a', reflection over x-axis if negative
- right shift by 'h'
- up shift by 'k'
Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...
horizontal shift left 3 units
vertical shift up 4 units
reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done <em>before</em> the translation.)