Answer:
x = 20
Step-by-step explanation:
Use Pythagorean Theorem to solve for x:
a^2 + b^2 = c^2
Plug in given values if a = 12, b = 16, and c = x (x is hypotenuse)
12^2 + 16^2 = x^2
(12*12) + (16*16) = x^2
144 + 256 = x^2
400 = x^2
Take square root of both sides to solve for x
sqrt(400) = sqrt(x^2)
20 = x or x = 20
Answer:
I can't see the picture or handwriting
The area of rhombus is 24 square units.
Step-by-step explanation:
Given,
Length of one diagonal = p = 3+3 = 6 units
Length of other diagonal = q = 4+4 = 8 units
Area of rhombus = 
Area of rhombus = 
Area of rhombus = 
Area of rhombus = 24 square units
The area of rhombus is 24 square units.
Keywords: rhombus, area
Learn more about areas at:
#LearnwithBrainly
Answer:
73 and -23 hope this helped hon :)
Step-by-step explanation:
y=-8x+9
plug in -8
y=-8(-8)+9
y=64+9
y=73
y=-8x+9
plug in 4
y=-8(4)+9
y=-32+9
y=-23
Your picture shows the first step: use the distributive property to eliminate parentheses.
5*7 -5*x = 2*x -3
Now, you have an equation with a constant and an x-term on each side. I like to pick the x-term with the smallest (most-negative) coefficient and add its opposite to the equation.
Adding 5x, we have
35 = 7x -3
Adding 3 will get the x-term on one side and the constant on the other
38 = 7x
Now, we divide by the coefficient of x
38/7 = x = 5 3/7
This is the correct answer, even though it is not an integer.
_____
Check
5(7 -(5 3/7)) = 2(5 3/7) -3 . . . . substitute for x in the original equation
5(1 4/7) = 10 6/7 -3 . . . . . . . . . evaluate the parentheses on the left, do the multiplication on the right
5 20/7 = 7 6/7 . . . . . . . . . . . . do the multiplicaton on the left, the subtraction on the right
5 +2 6/7 = 7 6/7 . . . . . . . . . . . rewrite 20/7, realize 5+2=7. true
