To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}$

Substitute m = 5/8 and the point (4,4) into the point slope form.

$y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}$

3 0

3 years ago

The length and breadth of a rectangular shaped plot is 1215 m and 527 m respectively. Find its perimeter.

ss7ja [257]

Answer:

3484m

Step-by-step explanation:

Add 1215(2) and 527(2) together

4 0

3 years ago

Read 2 more answers

a navy submarine descended from sea leval at a rate of 7 feet per second. write the descent rate and the sub's elevation after 1

valina [46]

The descent rate is 7 feet/second. the subs elevation would be 7 x 10(60) which is 7x 600the sub's elevation would therefore be 4,200 feet below sea level

4 0

3 years ago

The college that Dora attends is selling tickets to the annual

Ksenya-84 [330]

Answer:

The solution of the system of equations is (11, 12)

Step-by-step explanation:

∵ The price of each student ticket is $x

∵ The price of each adult ticket is $y

∵ They sold 3 student tickets and 3 adult tickets for a total of $69

∴ 3x + 3y = 69 ⇒ (1)

∵ they sold 5 student tickets and 3 adults tickets for a total of $91

∴ 5x + 3y = 91 ⇒ (2)

Let us solve the system of equations using the elimination method

→ Subtract equation (1) from equation (2)

∵ (5x - 3x) + (3y - 3y) = (91 - 69)

∴ 2x + 0 = 22

∴ 2x = 22

→ Divide both sides by 2 to find x

∵ $\frac{2x}{2}=\frac{22}{2}$

∴ x = 11

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(11) + 3y = 69

∴ 33 + 3y = 69

→ Subtract 33 from both sides

∵ 33 - 33 + 3y = 69 - 33

∴ 3y = 36

→ Divide both sides by 3

∵ $\frac{3y}{3}=\frac{36}{3}$

∴ y = 12

∴ The solution of the system of equations is (11, 12)

5 0

2 years ago