Answer: Y intercept: 5 The slope of the line is: 2
Step-by-step explanation:
Y=mx+b is y-intercept form
So you have to solve this equation for y.
This looks like:
-2x+y=5
+2x +2x
y=2x+5
Answer:
(-4,3)
Step-by-step explanation:
The ratio 3:2 means you can divide it into 3+2 parts or 5 parts
To find the x value
-13 and 2 are 15 apart and 15/5=5 so 3(3)=9
so you add 9 to the x value of P so 9+-13=-4 so the x value of Q is -4
so the same for the y value
18 and -7 are 25 apart
25/5=5 so you subtract 5(3)=15 from the y value of P 18-15=3
so the y value Q is 3
so Q is
(-4,3)
Answer: 90° , 60° and 30° .
Step-by-step explanation:
Given : In a right triangle with a leg of 4 units and a hypotenuse of 8 units.
One angle should be 90°. (A right triangle has a 90° angle.)
Let the given leg is the side opposite to the angle
in the triangle.
Then by trigonometry , we have
[Sine of an angle is the ration of the side opposite to the angle and the hypotenuse of a right triangle.]
Also , 

Let x be the measure of the third angle.
BY Angle sum property of triangle , we have

Therefore , the measures of all angles in the triangle : 90° , 60° and 30° .