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3 years ago

What is an equation of the line that passes through the point (- 7, 0) and is parallel to the line x + y = 1

Mathematics

1 answer:

sweet [91]3 years ago

7 0

Answer:

y = -x - 7

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is x + y = 1.

First, let's put this into standard form.

x + y = 1

y = -x + 1

Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.

Plug this value (-1) into your standard point-slope equation of y = mx + b.

y = -x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.

0 = -1(-7) + b

To find b, multiply the slope and the input of x (-7)

0 = 7 + b

Now, subtract 7 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -x - 7

This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)

Hope this helps!

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A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Chec

Maru [420]

Let's check each case to determine the solution to the problem.

we know that

The cost of each flower arrangements is $\$28$

Statements

case A) If the price is marked down by $10$ percent, the new price will be $\$25.20$

we know that

If the price is marked down by $10$ percent

then

the new price will be

$10\%= \frac{10}{100} =0.10$

$(1-0.10)*\$28=0.90*\$28 \\= \$25.20$

$\$25.20=\$25.20$

therefore

The statement case A) is True

case B) If the price is marked down by $25$ percent, the new price will be $\$21$

we know that

If the price is marked down by $25$ percent

then

the new price will be

$25\%= \frac{25}{100} =0.25$

$(1-0.25)*\$28=0.75*\$28 \\= \$21$

$\$21=\$21$

therefore

The statement case B) is True

case C) If the price is marked down by $50$ percent, the new price will be $\$19$

we know that

If the price is marked down by $50$ percent

then

the new price will be

$50\%= \frac{50}{100} =0.50$

$(1-0.50)*\$28=0.50*\$28 \\= \$14$

$\$14 \neq \$19$

therefore

The statement case C) is False

case D) If the price is marked down by $35$ percent, the new price will be $\$18.20$

we know that

If the price is marked down by $35$ percent

then

the new price will be

$35\%= \frac{35}{100} =0.35$

$(1-0.35)*\$28=0.65*\$28 \\= \$18.20$

$\$18.20=\$18.20$

therefore

The statement case D) is True

case E) If the price is marked down by $40$ percent, the new price will be $\$29.80$

we know that

If the price is marked down by $40$ percent

then

the new price will be

$40\%= \frac{40}{100} =0.40$

$(1-0.40)*\$28=0.60*\$28 \\= \$16.80$

$\$16.80 \neq \$29.80$

therefore

The statement case E) is False

7 0

3 years ago

Read 2 more answers

27% of the students in a school are in grade 6. This is 540 students. How many students are in the school?

Anettt [7]

There are a total of 2,000 students in the school.

1.) There are 540 students in the 6th grade. 540 is only 27% of students compared to the total. To find the total students in the whole school, we divide 540 by 27%.

2.) We first change 27% into a decimal by moving the point two times to the left. (Rule to change the percent into a decimal)

27% = .27

3.) Before we divide, we remove the decimal by moving the decimal two times to the right and so do we to 540.

.27 = 27

540. = 54000.

4.) Now we have 54000 divided by 27 which give us the answer of 2,000.

Hope this Helps!!!

Please Mark as Brainliest!!!

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3 years ago

A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people

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