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2 years ago

10

What is the equation of a line that has a slope of 4/5 and passes through the point (-2,4)?

1 answer:

SOVA2 [1]2 years ago

7 0

Answer:

y = $\frac{4}{5}$ x + 5 $\frac{3}{5}$

Step-by-step explanation:

Let's do it in slope-intercept form, it will look like this:

m = slope

b = y -intercept

To find our equation we will plug in the slope, plug in the point given, and solve for b.

y = mx + b

y = $\frac{4}{5}$ x + b

4 = $\frac{4}{5}$ (-2) + b

4 = $-\frac{8}{5}$ + b

5 $\frac{3}{5}$ = b

Plug the b into our original equation, and there is our answer!

y = $\frac{4}{5}$ x + 5 $\frac{3}{5}$

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A polygon has an area of 225 square meters. If the area is tripled, how does each side length change?

krok68 [10]

Let me tell you the process so that you get to the answer
Remember first that the area of a regular polygon with x sides has each of them a length which can be represented by y

<span>A = 1/4 * xy^2 * Cot(180/x) </span>
<span>The purpose is to solve for y, so we get </span>
<span>y^2 = 4A/(xCot(180/x)) </span>
<span>y = √(4A/(xCot(180/x)))

The thing we need to change is A in the previous formula and with that we can use the equaation to be a constant. This could be represented by Z
</span><span>Z = √(4/(xCot(180/x)))
so
</span><span>Y = Z√A
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3 0

3 years ago

Choose the third degree polynomial. 2x-5 3x2+2x-5 x3-3x2+2x-5 5x4+x3-3x2+2x-5

Bess [88]

ANSWER

${x}^{3} - 3 {x}^{2} + 2x - 5$

is the third degree polynomial.

EXPLANATION

The third degree polynomial has the highest degree to be 3.

All the polynomials were written in standard form.

$2x - 5$

is a first degree polynomial.

$3 {x}^{2} + 2x - 5$

is a second degree polynomial .

${x}^{3} - 3 {x}^{2} + 2x - 5$

is a third degree polynomial.

$5 {x}^{4} + {x}^{3} - 3 {x}^{2} + 2x - 5$

is a fourth degree polynomial.

3 0

3 years ago

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In 1970, a farmer using a two-row combine with a corn head could easily harvest 0.75 ha (1.85 acres) per hour and a typical corn

Anastaziya [24]

Answer:

The value is $w = 6.7 \%$

Step-by-step explanation:

Generally the productivity rate is mathematically represented as

$P_r = K * Z$

Here K is the ha the farmer could harvest in an hour and Z is a typical yield of corn in kg/ha

Now considering 1970

The productivity rate is

$P_r = 0.75 *5000$

=> $P_r = 3750 \ kg/h$

Now considering 1940

The productivity rate is given as $P_R = 250 \ kg/h$

Generally the productivity ratio is mathematically ration is mathematically represented as

$w = \frac{P_R}{P_r} * 100$

=> $w = \frac{250}{3750} * 100$

=> $w = 6.7 \%$

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4 years ago

The speedometer in Henry's car is broken. The function y = |x - 8| represents the difference y between the car's actual speed x

Alekssandra [29.7K]

The interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8

<h3>How to describe the translation. </h3>

The function is given as:

y = |x - 8|

The above function is an absolute function.

And the parent function of an absolute function is

y = |x|

When a function is translated right by h units, the new function is y = |x - h|

This means that the translation is a translation to the right by 8 units

See attachment for the graph the function.

<h3>Interpret the function and the translation in terms of the context of the situation.</h3>

The function is given as:

y = |x - 8|

This represents the difference y between the car's actual speed x and the displayed speed.

So, the interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8

Read more about functions at:

brainly.com/question/2328150

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1 year ago

The equation of a circle is in the form:

Colt1911 [192]

B would be the answer

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3 years ago

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