Answer:
x = 60
Step-by-step explanation:
Add up all the angles, they make 360 since it forms a full circle
(2x-10) + (2x+40) +90 = 360 Combine like terms
4x + 120 = 360 solve for x
4x = 240
x = 60
Answer:
y = 2x - 16
Step-by-step explanation:
Slope-intercept form: y = mx + b
Given:
Slope(m): 2
Point: (5, -6)
To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).
Since we were given the value of the slope, the only thing we have to do is find the y-intercept. To do this, input the values of the slope and the given point into the equation and solve for b:
y = mx + b
-6 = 2(5) + b
-6 = 10 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = 2x - 16
Answer <u>(assuming it can be in slope-intercept format)</u>:
Step-by-step explanation:
When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or 
.
1) First, find the slope of the equation. Use the slope formula, 
, to find the slope. Substitute the x and y values of the given points into the formula and simplify:
Thus, the slope is 
.
2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation . Substitute 
and 
for real values.
Since represents the slope, substitute in its place in the equation. Since represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:
6 + -15 + -24 + 3 + -25
__________________
5
-55
____
5
-11 is your answer!
Answer:
y + 12
Step-by-step explanation:
1. remove parentheses.
10 + 2 + y
2.collect like terms.
y + ( 10 + 2)
3. simplify.
y + 12
Therefor, the answer is. y + 12
