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3 years ago

Select the correct answer.

Mathematics

1 answer:

scoray [572]3 years ago

4 0

Answer:

D). Y = 4x -6

Step-by-step explanation:

Let's get the gradient of line MN

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

Gradient=( 6-3)/(-7-5)

Gradient= 3/-12

Gradient= -1/4

For a line to be perpendicular to line MN , it gradient multiplied with line MN gradient will be equal to -1

MM'= -1

M = gradient of line MN

M' = gradient of the unknown line

MM'= -1

-1/4M'= -1

M' =( -1*4)/-1

M' = 4

So the line will have a gradient of 4

That is, the equation well be in the form of

Y= 4x +c

Where c can be a positive or negative intercept or constant.

The correct option is

D). Y = 4x -6

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Convert 30 miles per hour to meters per second

Cerrena [4.2K]

Answer:

13.4112

Step-by-step explanation:

To convert a mile per hour measurement to a meter per second measurement, multiply the speed by the conversion ratio. One mile per hour is equal to 0.44704 meters per second, so use this simple formula to convert:

meters per second = miles per hour × 0.44704

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3 years ago

Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to

UNO [17]

Answer:

Option C. Marcelina spends less that the intended amount of money and buy the correct amount of corn

Step-by-step explanation:

<u><em>The complete picture of the question in the attached figure</em></u>

Let

x----> is the amount of white corn she buys

y ---> is the amount of yellow corn she buys

we know that

She needs to buy 50 kg of corn in total

$x+y=50$ ----> equation A

She wants to spend $12 dollars total

$0.30x+0.15y=12$ ----> equation B

The solution of the system of equations is the intersection point both graphs

The solution is the point (30,20)

That means

Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn

we have the ordered pair D(15.35)

That means

15 kg of white corn and 35 kg of yellow corn

therefore

Total kg of corn bought is

$15+35=50\ kg\\50\ kg= 50\ kg$

Total spend is

$0.30(15)+0.15(35)=\$9.75\\\$9.75$

therefore

Marcelina spends less that the intended amount of money and buy the correct amount of corn

6 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through the points (2, 3) and (3, -7). Put

FrozenT [24]

Answer:

$y - 3 = -10 (x-2)$

Step-by-step explanation:

The point-slope formula is $y-y_1 = m (x-x_1)$ . When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute $m$ , $x_1$ , and $y_1$ for real values.

1) First, find $m$ , or the slope. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points. Then, solve:

$m = \frac{(-7)-(3)}{(3)-(2)} \\m = \frac{-7-3}{3-2} \\m = \frac{-10}{1} \\m = -10$

Therefore, the slope of the line is -10.

2) Now, substitute the needed real values into the point-slope formula, $y-y_1 = m (x-x_1)$ . Since $m$ represents the slope, substitute -10 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

$y - 3 = -10 (x-2)$

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3 years ago

At the end of the baseball season, four families decided to buy the coach a gift certificate. Each family contributed $35 toward

igomit [66]

Answer: sorry but I’m in a rush to get to work my client won’t be happy if I’m late I know the answer tho!

Step-by-step explanation:

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3 years ago

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You got two questions wrong on your ten question quiz. What percent did you earn in the grade-book?

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