I hope that 2-1 means 21.
DE + EF = DF
4x + 10 + 21 = 9x - 15
4x + 31 = 9x - 15
31 = 9x - 4x - 15
31 = 5x - 15
46 = 5x
x = 9 1/5 = 9.2
You want 9x - 15
9*9.2 - 15
82.8 - 15
67.8 <<<<< answer.
If I have given the wrong meaning to 2-1 (which could mean 1) leave another note and I will correct my work.
The graph of (f+g)(x) is on the coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5).
<h3>What is the graph of a parabolic equation?</h3>
The graph of a parabolic equation is a curved U-shape graph from where the domain, the range, x-intercept(s), and the y-intercept(s) can be determined.
Given that:
f(x) = -x² + 3x + 5
g(x) = x² + 2x
To find (f + g)(x), we have:
(f + g)(x) = (-x² + 3x + 5)+(x² + 2x)
(f + g)(x) = -x² + 3x + 5 +x² + 2x
(f + g)(x) = 3x + 2x + 5
(f + g)(x) = 5x + 5
Use the Slope-intercept form: We are to find the graph of y = 5x + 5
y = 5x + 5
Here:
- Slope = 5
- x-intercept = (-1, 0)
- y-intercept = (0,5)
Therefore, we can conclude that on the coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Learn more about parabolic equation here:
brainly.com/question/4061870
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I solved it on a piece of paper. I can not answer why I got the same answer, but I hope my method helped
Answer: each guest gets 4.19 cm²
Step-by-step explanation:
The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle
π is a constant whose value is 3.14
r represents the radius of the circle.
From the diagram,
r = 4cm
Therefore, area of the cake that he cut for himself is
120/360 × 3.14 × 4²
= 16.75 cm²
The total area of the cake is
3.14 × 4² = 50.24 cm²
Therefore, the rest of the cake is
50.24 - 16.75 = 33.49 cm²
The amount that each guest gets would be
33.49/8 = 4.19 cm²
1 meter is 100 centimeters, therefore Alana jumped higher by 32 centimeters.
132-100=32