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vlabodo [156]
2 years ago
9

Mr. O’Hara found that on a recent trip his car used 12 gallons of gas to drive 396 miles. Assume that m represents the number of

miles driven and g represents the number of gallons of gas used. What value makes the equation m=_*g represent the relationship between gallons of gas and miles driven?
Mathematics
1 answer:
Free_Kalibri [48]2 years ago
5 0

Answer:

I think the answer would be 33. I am not exactly sure though.

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(-8,10)(-4,9)(8,6)(24,2) <br> Liner or non linear
Assoli18 [71]

Answer:

Linear

Step-by-step explanation:

There are no reapeting x values.

7 0
3 years ago
The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?
Ksivusya [100]

Answer:

Option 2 is correct that is (-1,4)

Step-by-step explanation:

We will use the section formula to find the coordinates of T

Formula is (x,y)=\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}

Here, m_1=4,m_2=5,x_1=-5,y_1=12,x_2=4,y_2=-6

On substituting the values in the formula we get

(x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}

\Rightarrow (x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}

\Rightarrow (x,y)=\frac{16-25}{9},\frac{-24+60}{9}

\Rightarrow (x,y)=\frac{-9}{9},\frac{36}{9}

\Rightarrow (x,y)=(-1,4)

Therefore, option 2 is correct that is (-1,4)

4 0
3 years ago
Read 2 more answers
Which function represents a reflection of f(x) = 5(0.8)x across the x-axis?
lukranit [14]

The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

<h3>Reflection of functions and coordinates</h3>

Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>

Given the exponential function below

f(x) = 5(0.8)^x

If the function f(x) is reflected over the x-axis, the resulting function will be

-f(x)

This means that we are going to negate the function f(x) as shown;

f(x) = -5(0.8)^x

Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

Learn more on reflection here: brainly.com/question/1908648

#SPJ1

8 0
2 years ago
Please help with 7-9 they are related to the same circle
Andrej [43]

40º

7) In this problem, we can see that both tangent lines to that circle come from the same point O.

So, we can write out the following considering that there is one secant line DO and one tangent line to the circle AO

\begin{gathered} m\angle1=\frac{1}{2}(160-80) \\ m\angle1=\frac{1}{2}(80) \\ m\angle1=40^{\circ} \end{gathered}

3 0
1 year ago
Use 3.14 for the value of , and round your answers to two decimal places, where applicable. If the diameter of a circle is 15 m,
sergejj [24]

if the diameter of a circle is 15, its radius is half that or 7.5.

\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7.5 \end{cases} A=\pi (7.5)^2\implies A=56.25\pi \implies \stackrel{\pi =3.14}{A=176.625}

7 0
2 years ago
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