Answer:
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is 25
With ∠ 31 degrees as the reference angle,
the adjacent side of the right angle triangle is the unknown side.
the opposite side of the right angle triangle is x.
To determine x, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 31 = x/25
x = 25Sin31
x = 25 × 0.5150
x = 12.875
Answer:
y = 4.375x + 2.5
Step-by-step explanation:
The equation of the line is expressed as y = mx+c
m is the slope
c is the intercept
Using the coordinate points (0, 2.5), (4, 20)
Slope m = 20-2.5/4-0
m = 17.5/4
m = 4.375
Get the intercept
Substitute (0, 2.5) and m = 4.375 into y - mx+c
2.5 = 4.375(0) + c
2.5 = c
Get the equation required
y = 4.375x + 2.5
The coefficient of the squared expression is 1/9
<h3>How to determine the coefficient of the squared expression?</h3>
A parabola is represented as:
y = a(x - h)^2 + k
Where:
Vertex = (h,k)
From the question, we have:
(h,k) = (-2,-3)
(x,y) = (-5,-2)
So, the equation becomes
-2 = a(-5 + 2)^2 - 3
Add 3 to both sides
1 = a(-5 + 2)^2
Evaluate the sum
1 = a(-3)^2
This gives
1 = 9a
Divide both sides by 9
a = 1/9
Hence, the coefficient of the squared expression is 1/9
Read more about parabolas at:
brainly.com/question/4061870
#SPJ1
Answer:
45
Step-by-step explanation:
5 times 5 is 25 plus 20 is 45 hope this helps
Answer:
2(5x - 1) – (2x - 5)
=2(5x−1)−2x+5
=10x−2−2x+5
=(10x−2x)+(−2+5)
=8x+3
Step-by-step explanation:
