Answer:
180 - 90 - 52 = 38
Step-by-step explanation:
All angles in a triangle have to add up to 180.
38 + 52 + 90 = 180.
Answer:
Slope:
y-intercept: 0
Step-by-step explanation:
First, find the slope. Use two points given to you. In this case, I will use the following:
(x₁ , y₁) = (2 , 5)
(x₂ , y₂) = (4 , 10)
Use the following equation:
slope (m) =
Plug in the corresponding numbers to the corresponding variables:
slope (m) = =
Note the slope intercept form:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
Plug in the slope into m for the equation:
Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:
Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:
Y-intercept: 0
-x^2 + 7 is the simplified expression
Answer:
4:3
Step-by-step explanation:
Given that P divides segment MN into 4/7, let MN to be x units in length then
MP = 4/7 x =4x/7 --------(i)
But MN =MP+PN so;
x=4x/7 +PN
x- 4X/7 =PN
3x/7 =PN ----------(ii)
To get the ratio of MP:PN
MP: PN
4x/7:3x/7
MP/PN = 4x/7 / 3x/7
MP/PN =4/3
MP:PN = 4:3