Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = 
PQ substitute values
- 32 + 9x = (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4
Answer:
I simply listed the factors of 24, and tested which ones worked in this equation: P = 2a + 2b.
So the factors listed were:
24 x 1
12 x 2
8 x 3
6 x 4
After testing each one of these, 6 and 4 had worked for me.
P = 2(6) + 2(4)
P = 12 + 8
P = 20
Therefore, the dimensions of this rectangle are 6 and 4.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ± 
= ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
Answer:
(6, 1)
Step-by-step explanation:
plug in 6 for x and 1 for y in the given equation.
(6) - 3(1) = 3
then use PEMDAS to solve the equation.
-3 x 1 = -3
6 - 3 = 3
3 = 3
this ordered pair is correct because both 6 and 1 make the equation true.
