Area = (x - 5)(x – 7)
Area = x(x - 7) - 5(x - 7)
Area = x^2 -7x -5x + 35
Area = x^2 -12x + 35
algebraic expression that represents its area: x^2 -12x + 35
x^2 - 12x + 35 = 195
x^2 - 12x + 35 - 195 = 0
x^2 - 12x - 160 = 0
x^2 - 8x - 20x - 160 = 0
x (x + 8) - 20 (x + 8) = 0
(x + 8) (x - 20) = 0
(x + 8) = 0
(x - 20) = 0
x = - 8 (not a solution)
x = 20
hence,
length = x - 5
length = 20 - 5
length = 15 m
width = x - 7
width = 20 - 7
width = 13 m
perimeter = 2(13) + 2(15)
perimeter = 26 + 30
perimeter = 56 m²
Answer: y = 5x + 13
<u>Step-by-step explanation:</u>
Parallel means it has the same slope.
Given line y = 5x + 5 --> the slope is 5, so parallel slope is 5
Use the Point-Slope formula: y - y₁ = m(x - x₁) such that
y + 2 = 5(x + 3) <em>input m and (x₁, y₁) into the Point-Slope formula</em>
y + 2 = 5x + 15 <em>distributed</em>
y = 5x + 13 <em>subtracted 2 from both sides</em>
<span>Let,
diameter = segment AB through center P.
Set the compass to the radius PB, at B and draw two little arcs that intersect the circumference of the circle at C and D.
Then Triangle ACD will be an equilateral triangle inscribed in the given circle.
Hence,
The right option is :
</span><span>B. Open his compass to a width equivalent to the radius of the circle.</span>
Answer:
Hold on a minute, gotta let my brain wake up.
Step-by-step explanation: