Answer:
w = 13yd, l = 18yd
Step-by-step explanation:
let x be width, so x+5 = length
Perimeter is sum of all 4 sides, and since opposite sides equal in rectangle,
P = 2(l+w)
= 2(x+5 +x)
= 4x + 10
Since perimeter is give as 62yd, equation is
4x + 10 = 62
4x = 52
x = 13
Answer: the system of equations are
x + y = 22
x + 1.5y = 30
Step-by-step explanation:
Let x represent the number of math problems that Olivia solved.
Let y represent the number of pages that Olivia read.
Olivia completed a total of 22 math problems and pages of reading. This means that
x + y = 22- - - - - - - - - - - - - - -1
Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that
x + 1.5y = 30 - -- - - - - - - - - -2
Answer:
70 degrees.
Step-by-step explanation:
Let the angle be x then:
Its supplement is 180-x.
Its complement = 90 - x.
The supplement of the complement = (180 - (90 - x) = 90 + x.
So we have the equation:
180 - x = 2(90 + x) - 60.
180 - x = 180 + 2x - 60
- x - 2x = 180 - 180 - 60
-3x = -60
x = 20 degrees
So the measure of the complement = 90 - 20 = 70 degrees.
Answer:
(- 3, - 13 ) and (8, 1 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Both equations are in vertex form
(8)
y = 5(x + 3)² - 13
with vertex = (h, k) = (- 3, - 13 )
(9)
y = (x - 8)² + 1
with vertex = (h, k) = (8, 1 )
