Answer:
x = 18
Step-by-step explanation:
difference between y = 12, x=72 is 6
so if y = 3 then multiply 3×6 = 18
Hello :
<span>y=-8x-2 and y=-6x+4
-8x-2 = -6x +4
-8x+6x =2+4
-2x =6
x = - 3
y = -6(-3)+4 =22</span>
Answer:
<em>P'(3,-7) Q'(7,6) R'(-8,-7).</em>
Step-by-step explanation:
<u>Reflection across the x-axis</u>
Given a point P(x,y), its reflection across the x-axis will map to point P'(x,-y), i.e., the y-coordinate gets inverted.
We are given the vertices of a triangle P(3,7) Q(7,-6) R(-8,7). The vertices of the image reflected across the x-axis are:
P'(3,-7) Q'(7,6) R'(-8,-7).
The new triangle has vertices P'Q'R'.
Answer:
The larger acute angle is equal to 50.8 degrees.
Step-by-step explanation:
Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.
A = cos^-1 (2√6/2√15)
However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,
A = cos^-1 (2√90/30) = 50.768 degrees.
B = sin^-1 (2√90/30) = 39.231 degrees.
Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.
cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.
If you have any questions on where I got a formula or any step, feel free to ask in the comments!
