All categories

3 years ago

Writing a linear equations

Mathematics

1 answer:

Ray Of Light [21]3 years ago

7 0

y = (1/6)x - 3

Step-by-step explanation:

The line goes through (0, -3) and (6, -2) and the slope is given by

m = (y2 - y1)/(x2 - x1)

= (-2 -(-3))/(6 - 0)

= 1/6

so the slope-intercept form of a linear equation is given by

y = mx + b

Using the value of m we just obtained and using the point (0, -3) to find b, we get

(-3) = (1/6)(0) + b ---> b = -3

Therefore, the equation takes the form

y = (1/6)x - 3

You might be interested in

Jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 1 hour

Arada [10]

Answer:

1500 words

Step-by-step explanation:

300 times 5 equals 1500.

5 0

3 years ago

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of th

olya-2409 [2.1K]

Answer:

THE HEIGHT OF THE KITE FROM THE GROUND=80mtr

Step-by-step explanation:

let H be the height of kite from ground

$\sin\theta$ = $\frac{height}{hypotenuse}$

$\sin\90$ = $\frac{H}{80}$

1= $\frac{H}{80}$

H=80meters

5 0

4 years ago

Population a current census shows that the population of a city is 3.5 million using the formula p= aert find the expected popul

Yuki888 [10]

Answer: the expected population of the city in 30 years is 5470781

Step-by-step explanation:

The population growth is exponential. The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 3.5 × 10^6

r = 1.5% = 1.5/100 = 0.015

t = 30 years

Therefore,

A = 3.5 × 10^6(1 + 0.015)^30

A = 3.5 × 10^6(1.015)^30

A = 5470781

6 0

3 years ago

Jesse owes $8,473 on a credit card with a 21.5% interest rate. What is the monthly payment he should make to pay off this debt i

kakasveta [241]

You can use an online credit card calculator in computing the monthly payment. Refer to the attachment for the answer and graph. The given are the following: balance - 8,473; interest rate - 21.5%; months - 12. The answer is the third option - you'll need to pay <span>$790.99 every month for 12 months.</span>

3 0

4 years ago

Josue leans a 26-foot ladder against a wall so that it forms an

postnew [5]

Answer:

25.61 feet

Step-by-step explanation:

First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.

Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.

One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have

sin(80°) = opposite / 26 feet

multiply both sides by 26 feet

sin(80°) * 26 feet = opposite

= 25.61 feet as the height of the wall the ladder reaches

6 0

3 years ago