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2 years ago

MATCH EACH EQUATION WITH THE DESCRIPTION OF ITS GRAPH BELOW A. Y= - 10x B. Y = 2.5x -7

Mathematics

1 answer:

yulyashka [42]2 years ago

3 0

Answer:

A. y = -10x

Step-by-step explanation:

An equation that has a line that passes through the origin (0, 0) is represented in slope intercept form as y = mx

Where, m is the slope.

Therefore,

The equation that represents a graph with a negative slope and passes through the origin would be:

y = -10x

-10 is the slope (m).

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At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

$\implies -0.3505924068 x = - 61.6937213538$

$x=175.969930202\approx 175.97\text{ cm}$

4 0

2 years ago

A person can read 48 pages in 5/4 of an hour. How many pages can they read in one hour

erma4kov [3.2K]

Answer:

38.4 pages

Step-by-step explanation:

5/4 = 1.25

Rate = pages / Time

Time = 1.25 hours

Pages = 48

Rate = 48/1.25

Rate = 38.4

8 0

2 years ago

0.25(8)+0.15x=0.35(20+x)

IRINA_888 [86]

X=-25 is the answer.

3 0

2 years ago

Solve for y. y 1.05 = 7.26 y = 8.31 y = -8.31 y = 6.21 y = -6.21

Vinil7 [7]

You haven't written the question properly because we have nothing to base y on.

6 0

2 years ago

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How can you get the constant of proportonality

kolbaska11 [484]

The constant of proportionality (k) equals the total price (y) divided by the number of cans (x).

Step-by-step explanation:

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3 years ago