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3 years ago

Write an equation of the line that passes through (−5, −2)(−5, −2) and is parallel to y=23x+1y=23x+1.

1 answer:

Klio2033 [76]3 years ago

7 0

Assuming you meant 2/3
y=2/3x+1 and (-5,-2)

paralell means same slope
y=mx+b
m=slope

y=2/3x+1
sllope=2/3

point slope
y-y1=m(x-x1)
for slope=m
a point is (x1,y1)

slope=2/3
point=(-5,-2)

y-(-2)=2/3(x-(-5))
y+2=2/3(x+5)
or
y=2/3x+16/3

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Answer:

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4. Mr. Perez's science students conducted a wildlife count in the local forest. The results of their count are shown in the tabl

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Circle graphs are used to display the relationship between variables using a complete circle

The angle measures of the sections are 180 degrees, 72 degrees, 72 degrees and 36 degrees, respectively.

The count of the animals are given as:

Squirrel = 25
Rabbit = 10
Deer = 10
Raccoon = 5

The total count of animals is:

$\mathbf{Total = 25 + 10 +10 + 5}$

$\mathbf{Total = 50}$

The angle measure of each section is then calculated using:

$\mathbf{Angle = \frac{Animal \times 360}{Total}}$

So, we have:

$\mathbf{Squirrel = \frac{25 \times 360}{50} }$

Simplify the numerator

$\mathbf{Squirrel = \frac{9000}{50} }$

Divide

$\mathbf{Squirrel = 180}$

$\mathbf{Rabbit= \frac{10\times 360}{50} }$

Simplify the numerator

$\mathbf{Rabbit= \frac{3600}{50} }$

Divide

$\mathbf{Rabbit= 72}$

$\mathbf{Deer= \frac{10\times 360}{50} }$

Simplify the numerator

$\mathbf{Deer= \frac{3600}{50} }$

Divide

$\mathbf{Deer= 72}$

Lastly, we have:

$\mathbf{Raccoon= \frac{5\times 360}{50} }$

Simplify the numerator

$\mathbf{Raccoon= \frac{1800}{50} }$

Divide

$\mathbf{Raccoon= 36}$

Hence, the angle measures of the sections are 180 degrees, 72 degrees, 72 degrees and 36 degrees, respectively.

See attachment for the circle graph