Answer:
PQ and QR are congruent.
Step-by-step explanation:
The length of PQ = sqrt [(2 - -1)^2 + (-1 - 3)^2]
= sqrt 25
= 5 units.
QR = sqrt [(5-2)^2 + (3 - -1)^2) ]
= sqrt 25
= 5 units.
PR = sqrt [ ( 3-3^2 + (5- -1)^2]
= sqrt 36
= 6 units.
Answer:
D
Step-by-step explanation:
1. The domain is all x values for the function.
2. Since the line starts at the x value of 3, it is included and since it goes to the right, it also includes all the values greater than 3.
3. Therefore, x>_3
Answer:
(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
Answer is C
Given:
x = 12 in, y = 16 in and z = 20 in
To find:
The surface area of the geometric shape.
Solution:
Area of top rectangle = z × z
= 20 × 20
Area of top rectangle = 400 in²
Area of middle rectangle = z × y
= 20 × 16
Area of middle rectangle = 320 in²
Area of bottom rectangle = z × x
= 20 × 12
Area of bottom rectangle = 240 in²
Area of left triangle = 

Area of left triangle = 96 in²
Area of right triangle = 

Area of right triangle = 96 in²
Surface area = 400 + 320 + 240 + 96 + 96
= 1152
The surface area of the geometric shape is 1152 in².
Answer:
7 cm
Step-by-step explanation:
10 mm = 1cm
All you need to do is add 10mm + 6cm.
10mm = 1cm
So, 6cm + 1cm.
Therefore, it equals to 7cm.