We can use Pythagorean theorem for right angle triangle to solve this problem.
The diagonal line would be hypothenuze. Horizontal and vertical distance would be other two sides of a triangle.
We will use the following formulas:

Where opposite side is vertical distance and adjacent side is horizontal distance.
Solving for these two sides we have:

We insert numbers and we get solution:
Answer:
y = 2x - 3.
Step-by-step explanation:
The perpendicular line will have slope - 1 / -1/2 = 2.
Using the point-slope form of the straight line:
y - y1 = m(x - x1)
Here m = 2 and (x1, y1) = (3, 3) so we have:
y -3 = 2(x - 3)
y = 2x - 6 + 3
y = 2x - 3.
To do this we will divide d amount of money Mr. Cole gave her to d amount of money she gets per book. den d answer will be d amount of books Carmen read. lets do it:-
44 ÷ 4 = 11
Carmen read 11 books.
CHECK OUR WORK:-
11 × 4 = 44
We were RIGHT!!!!!
So, Carmen read 11 books!!
Hope I helped ya!!!! xD
Hi there! :)
Answer:
Choice D. (y - 4) = 3(x + 2)
Step-by-step explanation:
An equation in point-slope form is:
(y - y1) = m(x - x1)
Where:
y1 = y-coordinate of a point
m = slope
x1 = x-coordinate of a point
In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)
We have an inscribed angle here. Angle YXZ is an inscribed angle.
Angle YXZ can also be expressed as simply angle x but I will use angle YXZ.
Angle YXZ = (1/2)(arc YZ)
Angle YXZ = (1/2)(144°)
Angle YXZ = 72°
Done!