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3 years ago

I need help with 16 and 17

Mathematics

2 answers:

vredina [299]3 years ago

4 0

16 is 40 because you just need to add 16 to 14 and to 10 which is equal 40

vlabodo [156]3 years ago

3 0

Number 16 is 24. Perimeter is asking to add so you have to add 10 and 14. You add 10 and 14 because it is asking for AB and BC. It would be 40 if it was asking for AB, BC, and AC. Hope it was helpful.

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5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?

sergeinik [125]

Answer:

$f(x) = x + 3$

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where $(x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)$

So, $m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{0 - (-2)}{-3 - (-5)}$

$m = \frac{0 + 2}{-3 + 5}$

$m = \frac{2}{2}$

$m = 1$

The equation of the line can then be calculated using any of the given points;

Using

$m = \frac{y - y_1}{x - x_1}$

$Where\ (x_1,y_1) = (-5,-2)\ and\ m =1$

We have

$1 = \frac{y-(-2)}{x-(-5)}$

$1 = \frac{y+2}{x+5}$

Multiply both sides by x + 5

$(x+5)*1 = \frac{y+2}{x+5} * (x+5)$

$x + 5 = y + 2$

Subtract 2 from both sides

$x + 5 - 2 = y + 2 - 2$

$x + 3 = y$

$y = x + 3$

Replace y with f(x)

$f(x) = x + 3$

Hence, from the list of given options; Option B is correct

8 0

3 years ago

Please help due today!

katrin [286]

So the first two line segments added together equals the full line segment. So, 8y + 5 + 7y = 13y + 25

15y + 5 = 13y + 25

2y = 20

y = 10

6 0

3 years ago

2x+5-x+10=1x-5+3x what does x=

NARA [144]

The answer for x=20/3

8 0

3 years ago

A homeowner wants several small dormers built on his roof to admit light. They will be in the shape of isosceles triangles whose

Vlad1618 [11]

P = s + (s + 5) + (s + 5) This represents the two sides that are 5 inches longer than the base (s + 5) and the base (s).
Simplifying.
100 = 3s + 10
subtract 10 from both sides
90 = 3s
divide both sides by 3
30 = s
base = 30
sides = 35

CHECK 30 + 35 + 35 = 100

4 0

4 years ago

Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.

Naya [18.7K]

This is just like working with money in a bank account
that's earning 12% interest.

If the population is 422,000 today, and
' n ' is the number of years after today,
then

Population = 422,000 (1.12)ⁿ .

6 0

3 years ago