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2 years ago

Find the slope for a line that passes through points (-3,-6) and (2,-8).

Mathematics

2 answers:

Salsk061 [2.6K]2 years ago

8 0

Answer:

$\rm{-\frac{2}{5}$

Step-by-step explanation:

Hi there!

We are given two points that the line passes through, and asked to calculate the slope.

We can easily calculate the slope using the given formula:

$\displaystyle\frac{y2-y1}{x2-x1}$

Plug in the values:

$\displaystyle\frac{-8-(-6)}{2-(-3)} \\
\displaystyle\frac{-8+6}{2+3} \\
\displaystyle\frac{-2}{5} \\
\displaystyle\frac{-2}{5}$

Thus, $\rm{-\frac{2}{5}$ is our answer.

$\star\star$ Hope it helps! Enjoy your day!

$\bold{GazingAtTheStars(:}$

Anna [14]2 years ago

3 0

Answer:

$\frac{-2}{5}$

Step-by-step explanation:

The equation for slope is:

$Slope = \frac{y_{2}- y_{1} }{x_{2}- x_{1} }$

We can plug in the given coordinates into the equation:

$Slope = \frac{-8-(-6)}{2-(-3)} = \frac{-8+6}{2+3} =\frac{-2}{5}$

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What is the area of this composite shape? Enter your answer in the box. _in²

LuckyWell [14K]

The area of the composite figure is $40 in^2$

Explanation:

From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.

Area of the rectangle $(A_1)$ :

The formula is given by

$A_1=length\times width$

where $length = 5$ and $width = 5$

Substituting, we have,

$A_1=7\times 5=35 in^{2}$

Thus, the area of the rectangle = $35 i n^{2}$

Area of the triangle $(A_2)$ :

The formula is given by

$A_2=\frac{1}{2} bh$

where $b=5-3=2 i n$

and $h=12-7=5 \text { in }$

Substituting, we have,

$A_2=\frac{1}{2} (2)(5)\\A_2=5 in ^{2}$

Thus, the area of the triangle = $5in ^{2}$

Area of the composite figure = Area of the rectangle + area of the triangle

Area of the composite figure = $35 i n^{2}+5 i n^{2}=40 i n^{2}$

Thus, the area of the composite figure is $40 in^2$

3 0

3 years ago

Which of the following options results in a graph that shows exponential growth?

poizon [28]

Answer:

$f(x)=0.7(5)^x$

Step-by-step explanation:

$\text{Exponential function: }y=a\cdot b^x$

It is two types of function.

Exponential Growth: If function increase as value of x increase.

In this case, a>0 and b>1

Exponential decay: If function decrease as value of x increase.

In this case, a>0 and 0<b<1

We need to choose exponential growth function.

$\text{Exponential Growth function: }f(x)=0.7(5)^x$

Here a=0.75>0 and b=5>1

Therefore, This function is exponential growth.

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Answer:

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Step-by-step explanation:

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Answer:

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butalik [34]

n is 16

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