Step-by-step explanation:
A(-4, 5) => A'(-4+2, -5) = A'(-2, -5)
B(-6, -4) => B'(-6+2, -(-4)) = B'(-4, 4)
C(4, -4) => C'(4+2, -(-4)) = C'(6, 4)
Hence the new coordinates are A'(-2, -5), B'(-4, 4) and C'(6, 4).
The answer is C
Because radical 38 would equal approximately 6.1644, which is what the line shows.
Answer:
8x^2-44x-24
Step-by-step explanation:
(2x + 12)(4x-2)
=>8x^2+48x-4x-24
=>8x^2-44x-24
A right triangle has the two legs that form an angle of 90°, which means that the two legs are perpendicular.
In order to prove that FGH is a right triangle, you need to calculate the slopes of the lines passing through its vertexes and see if there is a pair of opposite reciprocals:
m = (y₂ - y₁) / (x₂ - x₁)
m(FG) = (-9 - 4) / (5 - 2) = -13/3
m(FH) = (-4 - 4) / (-3 - 2) = 8/5
m(HG) = (-4 -(-9)) / (-3 - 5) = -5/8
Since m(FH) and <span>m(HG) are opposite reciprocals, FH is perpendicuar to HG and FGH is a right triangle.</span>
Breanna used 
pounds of clay for her project.
Step-by-step explanation:
Step 1; First, we must convert the mixed fractions into improper fractions. To do that we multiply the whole number with the denominator and add with it the numerator while the denominator remains the same. To convert this fraction 1 
, we multiply 1 with 8 and then add 4 and keep the 8 as the denominator so we get
1 = (1 × 8) + 5 / 8 = 
.
Step 2; After conversion, it's just a matter of subtraction. To calculate the clay she used for her project, we subtract the clay she had after from the clay she had before doing the project. While subtracting two fractions, if denominators are equal we subtract the numerators and keep the denominator the same.
- 
= 
= .
So Breanna used pounds of clay for her project.
