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3 years ago

What is the equation in point form of the line that passes through the point (2,6) and has a slope of 2

Mathematics

1 answer:

andriy [413]3 years ago

4 0

point slope form

y-y1 = m(x-x1)

y-6 = 2(x-2)

from the answers shown, should the slope be 5?

then the answer would be

y-6 = 5(x-2)

Choice A

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Which of the expressions below is equal to 10x+30? Select all that apply.

posledela

10 (x + 3) is the answer i believe

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2 years ago

An apple juice factory produced 444 gallons of apple juice in 8 days. How much apple juice, on average, did the factory produce

mixer [17]

55.5 gallons of apple juice on an average day.

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3 years ago

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The length of a rectangle is 4 m less than the diagonal and the width is 5 m less than the diagonal. If the area is 82 m^2, how

nikklg [1K]

I hate rounding.

Let's call the diagonal x. It's the hypotenuse of the right triangle whose legs are the rectangle sides.

According to the problem we have a length x-4 and a width x-5 and an area

82 = (x-4)(x-5)

82 = x^2 - 9x + 20

0 = x^2 - 9x - 62

That one doesn't seem to factor so we go to the quadratic formula

$x = \frac 1 2(9 \pm \sqrt{9^2-4(62)}) = \frac 1 2(9 \pm \sqrt{329})$

Only the positive value makes any sense for this problem, so we conclude

$x = \frac 1 2(9 \pm \sqrt{329})$

That's the exact answer. Did I mention I hate rounding? That's about

x = 13.6 meters

Answer: 13.6

----------

It's not clear to me this problem is consistent. By the Pythagorean Theorem the diagonal satisfies

$x^2 = (x-4)^2 + (x-5)^2$

which works out to

$x=9 \pm 2\sqrt{10}$

That's not consistent with the first answer; this problem really has no solution. Tell your teacher to get better material.

5 0

3 years ago

Dominic makes and sells salsa. The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa. His re

Elan Coil [88]

Answer:the function representing profit, P = 3n + 200

Step-by-step explanation:

The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa.

The revenue, or the amount he receives for selling n jars, can be represented by the function R = 5n.

Profit = revenue - cost or expenses.

Therefore,

The function representing Dominic's profit, P, for selling n jars of salsa will be

P = 5n - 2n + 200 = 3n + 200

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3 years ago

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a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear speed, in feet per

Yuri [45]

Answer:

The linear speed is $1,130.4\frac{ft}{min}$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=18\ ft$

$\pi =3.14$

substitute

$C=2(3.14)(18)$

$C=113.04\ ft$

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

10 revolutions is equal to

$(10)113.04=1,130.4\ ft$

therefore

The linear speed is $1,130.4\frac{ft}{min}$

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3 years ago