Answer:
The distance between those points is 13.
Step-by-step explanation:
1. (x2-x1) = (-2 - -7) = 5
2. (y2-y1) = (-7 - 5) = -12
3. (5)2 + (-12)2 = 25 + 144 = 169
4. √169 = 13
5. 13
Answer:
A. y=-2x+5
Step-by-step explanation:
y=mx+b , m represents slope (-2), b represents y intercept (5)
So if an equation was f(x)=x+4
you would automatically change f(x) into y
so it would y-y=x(x-x)
so you plug in the x and 4 which is the first y and x
y-4=x(x-x)
you switch the numbers around
so your final answer would be x-4
Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17
