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3 years ago

What are the slope and the y-intercept of the linear function that is represented by the graph?

Mathematics

2 answers:

andreev551 [17]3 years ago

7 0

The answer is -3/4 and y-intercept is 3 because another way is of slope is rise over run. Since it is negative 3, you go down three and since the run is 4, you go to the right 4 times to finally hit a perfect point in the graph.

MrRissso [65]3 years ago

3 0

For the y-intercept, look at the graph, and find the point of intersection of the line and the y-axis. You will see that the line and the y-axis intersect at 3.
The y-intercept is 3.

To find the slope, you need to find two points that are easy to read on the graph. You must go from one point to the other, but you can only move vertically and horizontally along grid lines. Look at (0, 3) and (4, 0). Slope is rise over run. Rise is up and down. Run is left and right. Start at (0, 3), the y-intercept. To go from that point to (4, 0), you go 3 units down. Down is negative, so the run is -3. Then you are at the origin, (0, 0). To go to (4, 0), now you go 4 units to the right. That is a run of 4. The rise is -3, and the run is 4.

slope = rise/run = -3/4

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Elis [28]

Answer: figures C and D.

Explanation:

The question is which two figures have the same volume. Hence, you have to calculate the volumes of each figure until you find the two with the same volume.

1) Figure A. It is a slant cone.

Dimensions:

slant height, l = 6 cm
height, h: 5 cm
base area, b: 20 cm²

The volume of a slant cone is the same as the volume of a regular cone if the height and radius of both cones are the same.

Formula: V = (1/3)(base area)(height) = (1/3)b·h

Calculations:

V = (1/3)×20cm²×5cm = 100/3 cm³

2. Figure B. It is a right cylinder

Dimensions:

base area, b: 20 cm²
height, h: 6 cm

Formula: V = (base area)(height) = b·h

Calculations:

V = 20 cm²· 6cm = 120 cm³

3. Figure C. It is a slant cylinder.

Dimensions:

base area, b: 20 cm²
slant height, l: 6 cm
height, h: 5 cm

The volume of a slant cylinder is the same as the volume of a regular cylinder if the height and radius of both cylinders are the same.

Formula: V = (base area)(height) = b·h

Calculations:

V = 20cm² · 5cm = 100 cm³

4. Fiigure D. It is a rectangular pyramid.

Dimensions:

length, l: 6cm
base area, b: 20 cm²
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Formula: V = (base area) (height) = b·h

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V = 20 cm² · 5 cm = 100 cm³

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Step-by-step explanation:

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It is given that $\angle a=135^{\circ}$ .

Now, know that in 180 degrees there are $\pi$ radians. This can be written as:

$180^{\circ}=\pi$ radians

$\therefore 1^{\circ}=\frac{\pi}{180}$ radians (dividing both sides by 180)

Thus, to find the measure of the given angle of $135^{\circ}$ in radians, we will have to multiply the above equation by 135. Thus, we get:

$135^{\circ}=\frac{\pi}{180}\times 135$ radians

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Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
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As a result, the length of both legs can be found directly using the sine function and the cosine function.

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$\sin{\theta} < \cos{\theta}$ if $0^{\circ} < \theta$ ;
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