If the graph is starting low to high its a positive. If the graph start at high to low it's a negative.
Answer:
4x+10+2x-1=9x-15;
6x+9=9x-15;
6x-9x=-15-9;
-3x=-24;
3x=24;
from which
x=24:3=8
Then:
DF=9x-15=(9×8)-15=72-15=57
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Answer:
The slope is 4
The y-intercept is 3 OR (0, 3)
Step-by-step explanation:
Points on the graph: ( -1, -1) and (0,3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3+1)/(0+1)
m=4/1
m = 4
Point slope-intercept:
y - y1 = m(x - x1)
y + 1 = 4(x + 1)
y + 1 = 4x + 4
y = 4x + 3
Answer:
<em>The height of the building is 21.38 m</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The image attached shows the measures and angles provided in the problem. The first angle of elevation is y=22°, the man walks B=20 m and finds the new angle of elevation is x=33°.
It's required to find the height of the building H.
The tangent ratio relates the opposite side with the adjacent side of a given angle. Applying it to the larger triangle:
Multiplying by D+B:
Dividing by tan 22°
Subtracting B:
Applying to the smaller triangle:
Multiplying by D:
Substituting from [1]:
Substituting values:
Operating:
H = 21.38 m
The height of the building is 21.38 m
<u>Given</u>:
The radius of the circle is 10 cm
The central angle of the circle is (360 - 90)° = 270°
We need to determine the area of the composite figure.
<u>Area of the composite figure:</u>
The area of the figure can be determined using the area of the sector formula.
Thus, we have;
Substituting and in the above formula, we get;
Simplifying, we get;
Multiplying, we get;
Dividing the terms, we get;
Thus, the area of the composite figure is 235.5 cm²
Hence, Option C is the correct answer.