Answer:
Step-by-step explanation:
4^(-3) = 1/4^3 = 1/(4*4*4) = 1/64
which can also be written as 1/(2^6)
depending on your answer options.
Answer:
Value is x=8 and y=4
Step-by-step explanation:
Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,
and right triangle 'B' hypotenuse length of 3y and a leg length of y+4
To find : For what values of x and y are the triangles congruent by HL?
Solution :
Triangle A,
Hypotenuse: x+4
Leg: x
Triangle B,
Hypotenuse: 3y
Leg: y+4
Since the triangle A and B are congruent so, the sides of triangles are equal.
(Hypotenuse are equal) ..........[1]
and
(Legs are equal) ..........[2]
Solving the equation of system,
Put the value of x from [2] in [1],




Substitute y in [2],
Therefore, The value of x=8 and y=4
Verifying for the values of x and y:
Triangle A,
Hypotenuse: x+4=8+4=12
Leg: x=8
Triangle B,
Hypotenuse: 3y=3(4)=12
Leg: y+4=4+4=8
Both hypotenuses and both legs are equal hence they are congruent.
Area of backyard is not being used 7792 square feet.
Solution:
Length of the backyard = 181 ft
Width of the backyard = 48 ft
Area of the backyard = length × width
= 181 × 48
Area of the backyard = 8688 square feet
Base of the triangle = 16 ft
Height of the triangle = 28 ft
Area of the triangle = 

Area of the triangle = 224 square feet
Length of the rectangle = 32 ft
Width of the rectangle = 21 ft
Area of the rectangular vegetable garden = length × width
= 32 × 21
Area of the rectangular vegetable garden = 672 square feet
Area of backyard not used
= Area of backyard – Area of the triangle + Area of the rectangle
= 8688 – 224 – 672
= 7792 square feet
Area of backyard is not being used 7792 square feet.
If this helps you have to use the formula (x1,y1) and (x2,y2). So for number 1 it would be 7x - 3x and 2y - 4y