Answer:
the 3 sides of the triangle are 105 ft, 40 ft and 70 ft.
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle
add the parts of the ratio 21 + 8 + 14 = 43
divide the perimeter by 43 to find the value of one part of the ratio
= 5 ft ← 1 part of the ratio, hence
21 parts = 21 × 5 = 105 ft
8 parts = 8 × 5 = 40 ft
14 parts = 14 × 5 = 70 ft
the 3 sides of the triangle are 105 ft, 40 ft and 70 ft
the given expression is :
2(4√16x) - 2(4√2y) + 34√81x - 4(4√32y)
⇒ 8(√16x) - 8(√2y) + 34√81x - 16√32y
⇒8×4√x - 8√2y + 34×9√x - 16√16×2y [∵ √16 = 4 and √81 = 9]
⇒32√x - 8√2y + 306√x - 16×4√2y
⇒(32√x + 306√x) - 8√2y - 16×4√2y
⇒338√x -72√2y
Answer:
Step-by-step explanation:
Given
Straight Line, PS
Such that
Required
Find PS
From the attachment above, it can be seen that RS is a continuation of PS;
This implies that
Substitute and
Collect like terms
Hence, the length of PS is
The first thing you should do for this case is to find the equation of the line that best suits the problem and then plot it.
Let X: number of months and: amount paid.
The equation of the line is
y = 15x + 25 y-intercept = 25
the slope = 15
Answer:
Georgie pays (y axis) $ 15 dollars (the spole) monthly (x-axis) in the gym with a $ 25 registration (y -intercept)
<em> 24 mph</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>Vm = 21mph</em>
<em>V1 = 18mph</em>
<em>V2 = ?</em>
<em>Vm = (V₁ + V₂)/2</em>
<em>2Vm = V₁ + V₂</em>
<em>V₂ = 2Vm - V₁</em>
<em>replace Vm ; V₁</em>
<em>V₂ = 2×21mph - 18mph</em>
<em>= 42mph - 18mph</em>
<em>= 24 mph</em>
<em>Good luck !</em>
