Answer:
7.6
Step-by-step explanation:
From the graph, we know the lengths of two legs.
a = 3
b = 7
Knowing this, we can use the Pythagorean Theorem to solve for c, the hypotenuse. (remember, a^2 + b^2 = c^2)
c = √a2 + √b2
= √(7)2 + √(3)2
= √49 + √9
= √58
= 7.6
Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is

where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula

The distance A'B' is √10 =3.162 units
Answer:
area = 2x² - 17x - 21
Step-by-step explanation:
Area of the rectangle is:
area = (width*length)
area = (x+7)*(2x-3)
= x*2x + x*-3 + 7*2x + 7*-3
= 2x² - 3x - 14x - 21
= 2x² - 17x - 21
If you use the slope formula, the answer is m = 2
Answer:
d = 65
w = 55
Step-by-step explanation:
w + 90 + 35 = 180
w + 125 = 180
w = 55
35 + x = 60 (Vertical angle thm)
x = 25
d + x = 90
d + 25 = 90
d = 65