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2 years ago

PLEASE HELPPP ASAP!!!

Mathematics

1 answer:

NikAS [45]2 years ago

5 0

Answer:

Domain = {-1, 8}

Range = {-4, 8, -6}

Step-by-step explanation:

Domain is the set of first coordinates

Range is the set of second coordinates

Memory trick: D before R. x before y

Domain = set of x values

Range = set of y values

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Find an equation for the line that passes through the points (5.-5) and (-4,-2)

ANEK [815]

Answer:

$\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

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

We have the points (5, -5) and (-4, -2).

Substiute:

$m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}$

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

$-5=-\dfrac{1}{3}(5)+b$

$-5=-\dfrac{5}{3}+b$ add 5/3 to both sides

$-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}$

Finally we have the equation of a line in the slope-intercept form:

$y=-\dfrac{1}{3}x-\dfrac{10}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{1}{3}x-\dfrac{10}{3}$ multiply both sides by 3

$3y=-x-10$ add x to both sides

$x+3y=-10$

4 0

3 years ago

What is 9 x 9 x 9 x 9 x 9 x 9 x 9 in exponential notation

ikadub [295]

Answer:

9 to the 7th power

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

4. If N is the set of natural numbers that are factors of 16, choose the selection below that correctly shows

Lostsunrise [7]

The set of factors of 16 is={1,2,4,8,16}.So option(1) is correct

Natural numbers are those that start with 1 and go on indefinitely. In other words, natural numbers are counting numbers that do not include 0 or any negative or fractional numbers. Natural numbers are numbers like 1, 6, 89, 345, and so on.

What exactly are the factors?

A factor is a number that divides another number with no remainder. In other words, if multiplying two whole numbers results in a product, the multiplied numbers are factors of the product because the product is divisible by them. There are two methods for locating factors: multiplication and division.

Given in the question that, N is the set of natural numbers that are factors of 16

factors of 16 are = 1,2,4,8,16

so the set of factors of 16 is={1,2,4,8,16}

To learn more about natural numbers visit

brainly.com/question/17429689

#SPJ1

3 0

1 year ago

Mariam is making two types of paper lanterns. One type of flashlight needs 0.75 square feet of cardboard, while the other needs

HACTEHA [7]

Answer:

Step-by-step explanation:

Mariam is making two types of paper lanterns. One type of flashlight needs 0.75 square feet of cardboard, while the other needs 1.15 square feet. If she made 5 of each type of flashlight, it means that

For the first type flashlight that she made, she used 0.75 × 5 = 3.75 square feet of cardboard.

For the second type of flashlight she made, she used 1.15 × 5 = 5.75 square feet of cardboard.

Total amount of cardboard used is

3.75 + 5.75 = 9.5 square feet

Mariam has 12.75 square feet of paper left over. Assuming the total square feet of cardboard that she used is x, then x = amount of cardboard used + the amount that is left over. It becomes

x = 9.5 + 12.75 = 22.25 square feet

She used 22.25 square feet

8 0

3 years ago

Subtract the quotient of 18 and 2 from the sum 22 and 9

dexar [7]

Quotient, implies division, so the quotient of 18 and 2 is 6:

18/2=6

Sum implies addition, so the sum of 22 and 9 is 31:
22+9=31

Now we can subtract the quotient of 18 and 2, '6', from the sum of 22 and 9, '31'.

31-6=25

Answer=25

6 0

3 years ago