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3 years ago

How many equal sections divide a directed line segment if it is to be partitioned with a 7:10 ratio?

Mathematics

1 answer:

Dafna11 [192]3 years ago

6 0

The midpoint formula is x1+x2 over 2 and y1+y2 over 2. When you use it to find the midpoint of (0,-8) and (-4,10), you get (-2,1).

Slope formula is y2-y1 over x2-x1, which will give you -6.

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Given f(x)=x2+2x−8, find f(−2).

Sloan [31]

Answer:

-8 is the answers for the question

Step-by-step explanation:

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3 years ago

Read 2 more answers

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SIZIF [17.4K]

Answer:

The answer is one solution because the graphs are together in one specific point.

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2 years ago

PLS Write a real world problem for the inequality 8-2x≤5.

Hatshy [7]

Step-by-step explanation:

8-2x< 5
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3 years ago

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

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3 years ago

What is the value of x in x2-3x=28

charle [14.2K]

Answer:

x=-28

Step-by-step explanation:

2x-3x=-1x so if -1x=28 divide both sides by -1 so x= -28

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3 years ago