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3 years ago

172.5/5.75 abcdefghijk

Mathematics

1 answer:

a_sh-v [17]3 years ago

6 0

Answer:

bebsjsjdnd e sjixjdnensjnsndnensjznd

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Write the equation of the line that connects the set of data points!helppp

Sergeu [11.5K]

Given:

The set of data points on the graph.

To find:

The equation of line that connects the set of data points.

Solution:

From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

Let as consider the line passes through (20,40) and (50,60), then the equation of line is

$y-40=\dfrac{60-40}{50-20}(x-20)$

$y-40=\dfrac{20}{30}(x-20)$

$y-40=\dfrac{2}{3}(x-20)$

Multiply both sides by 3.

$3(y-40)=2(x-20)$

$3y-120=2x-40$

Isolate variable terms.

$-2x+3y=120-40$

$-2x+3y=80$

Therefore, the standard form of the required line is $-2x+3y=80$ .

7 0

3 years ago

Population: A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? Round your an

Oliga [24]

If i did the math right it's A but i'm not 100% sure

7 0

3 years ago

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QT and PM trianglePQR. If QR = 8 cm, PR 7 cm and QT = 4 cm, what is PM? P=7 cm M=8 cm

babymother [125]

Answer:

The length of the altitude PM is 3.5 cm.

Step-by-step explanation:

We are given that QT and PM are the altitudes of the triangle PQR. Also, QR = 8 cm, PR = 7 cm and QT = 4 cm.

We have to find the length of the altitude PM.

As we know that the area of the triangle is given by;

Area of triangle = $\dfrac{1}{2} \times \text{Base} \times \text{Height(Altitude)}$

Here, in $\triangle$ PQR; Base = PR = 7 cm

Height(Altitude) = QT = 4 cm

So, the area of the triangle PQR = $\frac{1}{2} \times 7 \times 4$

= 14 sq cm.

Similarly, the area of the triangle can also be;

Area = $\frac{1}{2} \times \text{QR} \times \text{PM}$

Here, QR = Base of triangle PQR = 8 cm

PM = the required altitude

So, Area of triangle = $\frac{1}{2} \times 8\times \text{PM}$

$14 =4 \times \text{PM}$

PM = $\frac{14}{4}$ = 3.5 cm

Hence, the length of the altitude PM is 3.5 cm.

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4 years ago

the temperature at 5 am is -5 Fahrenheit.over the next three hours, it rises by 12°. what is the temperature at 8 am?

defon

7 degrees :0) hope it helped

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3 years ago

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P/2.8= 0.6 what is p?

rewona [7]

Multiply both sides of the equation by 2.8
P = 1.68

4 0

4 years ago

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