Answer:
Step-by-step explanation:
(6u)+(-2u)=4u
(-7c)+(4c)=-3c
6=6
4u-3c+6
Answer:
$1.2
Step-by-step explanation:
Given the total cost, in dollars, given by the function c(p) = 1.2p.
If p = 1
c(1) = 1.2(1)
c(1) = $1.2
If p = 2
c(2) = 1.2(2)
c(2) = $2.4
If p = 3
c(3) = 1.2(3)
c(3) = $3.6
If p = 4
c(4) = 1.2(4)
c(4) = $4.8
Common difference = c2 - c1 = c3 - c2 = c4 - c3
Common difference = 2.4 - 1.2 = 3.6 - 2.4 = 4.8 - 3.6 = 1.2
Hence the common difference is $1.2
Answer:
(C)Determine the principal square root of both sides of the equation.
Step-by-step explanation:
Given: Isosceles right triangle XYZ (45°–45°–90° triangle)
To Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.
Proof:
Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem,
Since a=b in an isosceles triangle:
Therefore, the next step is to Determine the principal square root of both sides of the equation.
<h2>
Answer:</h2>
9 inches
<h2>
Step-by-step explanation:</h2>
Let x be the length of the side of the square.
If the base of the triangle is 3 times as long as the side of the square, it is 3 times x, or 3x.
The same can be said for the legs, which is 1 inch more than twice the side of the square, so 2x + 1.
The triangle can therefore be thought to look like the triangle below.
The perimeter is therefore (2x+1) + (2x+1) + 3x, which is 7x + 2.
The sum of perimeters of both the square and triangle is 46.
The perimeter of the square is 4x, so the sum of perimeters is 4x + (7x+2), or 11x + 2.
11x + 2 = 46, so 11x = 44.
x is therefore 4
The leg is 2x + 1, so the leg is 8 + 1, so the length of the leg is 9 inches.
I think it's D.
Because when 3x + y = 9,
it is easier to solve for y as y = 9 - 3x