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3 years ago

Find an equation for the line that passes through the points (1, -1) and (-3, 1).

Mathematics

1 answer:

saul85 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Equation of line is y = mx + c

where m is the slope

c is the y intercept

Slope of the line using points

(1, -1) and (-3, 1) is

$m = \frac{1 + 1}{ - 3 - 1} = - \frac{2}{4} = - \frac{1}{2}$

Equation of the line using point

( 1 , - 1) and slope - 1/2 is

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

Hope this helps you.

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3 times the square root of 18

AnnyKZ [126]

Answer:

9 square root of 2 or 12.73

7 0

3 years ago

Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a

Degger [83]

Answer:

The total price of $4\frac{1}{2}$ pounds of apples is <u>$6.48</u>.

Step-by-step explanation:

Given:

Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a 10% discount.

Now, to find the total price of 4 1/2 pounds of apples this week at the grocery store.

The price of apples at a grocery store last week was = $1.60 per pound.

This week apples at the same grocery store is on sale of 10% discount.

Thus, the price of apples at a grocery store this week is:

$1.60-10\%\ of\ 1.60.$

$=1.60-\frac{10}{100} \times 1.60$

$=1.60-0.16$

$=\$1.44.$

So, the price of apples per pound this week is $1.44.

Now, to get the total price of $4\frac{1}{2}$ pounds of apples by using unitary method:

If 1 pound of apples cost = $1.44.$

Then, $\frac{9}{2}$ pound of apples cost = $1.44\times \frac{9}{2}$

$=1.44\times 4.5$

$=\$6.48.$

Therefore, the total price of $4\frac{1}{2}$ pounds of apples is $6.48.

4 0

3 years ago

See pictures attached below. Will give Brainliest!

Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

<u>Gifts Bags --> 6/7 hours</u>

x = time together

$\frac{1}{x}$ = rate of completion

Aunt 1 = $\frac{1}{1.5}$ Grandma 1 = $\frac{1}{2}$

$\frac{2}{3} +\frac{1}{2} = \frac{1}{x}$

$\frac{7}{6} = \frac{1}{x}$

$x = \frac{6}{7}$

<u>Centerpieces --> 7/4 hours</u>

x = time together $\frac{1}{x}$ = rate of completion

Mom = $\frac{1}{3.5}$ Aunt 2 = $\frac{1}{3.5}$

$\frac{2}{7} + \frac{2}{7} = \frac{1}{x}$

$\frac{4}{7} = \frac{1}{x}$

$x = \frac{7}{4}$

<u>Balloons --> 15/16 hours</u>

x = time together $\frac{1}{x}$ = rate of completion

You = $\frac{1}{1.5}$ Grandma 2 = $\frac{1}{2.5}$

$\frac{2}{3} + \frac{2}{5} = \frac{1}{x}$

$\frac{16}{15} = \frac{1}{x}$

$x = \frac{15}{16}$

Shortest amount of time to complete all tasks is:

$\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}$ ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

8 0

2 years ago

Bryce measured the circumference of a tree trunk. Its circumference was 91 ft. What was the approximate diameter, rounded to the

iren2701 [21]

Answer: 29 feet.

Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.

91 = 3.14 x d

In order to solve for d you need to divide both sides for 3.14:

D = 28.98, rounded to the nearest foot is 29 feet.

5 0

3 years ago

What would answer be t -3x + 6 + 12 y

Evgesh-ka [11]

-3x + 6 + 12 y. I am afraid that there are no like terms to combine, and it is neither an equation nor an inequality.

Hope this Helps!

8 0

3 years ago