Mathematics, 18.06.2020 08:57 daijahamaker062816

4. A line passes through (2, -1) and (8,4). a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.

Answers: 1

Show answers

Answers

Answer from: tokuichi3135

a) Equation of the line $y +1 = \frac{5}{6} (x - 2)$

b) Equation of the line y + 1 = 0.833 ( x-2)

Step-by-step explanation:

Explanation:-

Given points are ( 2,-1) and (8 ,4)

Slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$m = \frac{4- (-1) }{8-2 } = \frac{5}{6}$

Point - slope form

y - y₁ = m ( x - x₁)

y - (-1) = 5 /6 ( x-2)

6 ( y +1) = 5 (x -2)

a) Equation of the line $y +1 = \frac{5}{6} (x - 2)$

b) Equation of the line y + 1 = 0.833 ( x-2)

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

Answer from: Quest

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

$a=9\times 12=108\text {ft^2}$

so the area of the floor is 108 square feet, converting that into square yards we get,

$108 \times 0.1111= 12 \text{yd^2}$

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

$\$15 \times 12=\$180$

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

$a = 12 \times 15=180\text {ft}^2$

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

$180 \times 0.111=20 \text {yd}^2$

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

$\$15 \times 20= \$300$

so, it will cost $300.

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 16:00, ringo12384

You eat 8 strawberries and your friend eats 12 strawberries from a bowl. there are 20 strawberries left. which equation and solution give the original number of strawberries?

Answers: 1

continue

Mathematics, 21.06.2019 18:00, NeonPlaySword

Four congruent circular holes with a diameter of 2 in. were punches out of a piece of paper. what is the area of the paper that is left ? use 3.14 for pi

Answers: 1

continue

Mathematics, 21.06.2019 20:30, ultimatesaiyan

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered

Answers: 1

continue

Mathematics, 22.06.2019 02:00, BeenPaidGLO

Aflagpole broke in a storm. 77 7 meters are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground at a point 2424 24 meters away horizontally

Answers: 1

continue

You know the right answer?

4. A line passes through (2, -1) and (8,4). a. Write an equation for the line in point-slope form.<...