What is the equation of a line passing through the point (a, b) and having a slope of b?

Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughou

slamgirl [31]

Alright, we know that the slope intercept form is y=mx+b, where x and y remain variables, m stands for the slope and b stands for the y intercept.

Because you should already have the slope from the first part (because slope is the same thing as rate of change), you should know that the slope is 60. The y-intercept should be your y value when x=0, and if you set up the equation in terms of years since Elliot has started his business, the year 2000 should be equal to x=0, so the y intercept should be equal to 750.

Now that you know the slope intercept form and what each part of it means, you can plug in what you have to get the final equation, which should be y=60x+750

6 0

3 years ago

Read 2 more answers

John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square

oee [108]

Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

$A= l\times w$

We just have to substitute
$l=62.5$ and $w= 45.3$ into the given formula and evaluate.

This implies that;

$A= 62.5\times 45.3$

This gives the area of the rectangular-shaped field to be;

$A= 2831.25$ square yards.

Now for the perimeter, we use the formula

$P=2w +2l$

Or

$P=2(w +l)$

Substituting the values for the length and width gives,

$P=2(62.5+45.3)$

$\Rightarrow P=2(107.8)$

$\Rightarrow P=215.6$

Hence the perimeter of the rectangular shaped field is 215.6 yards.

8 0

3 years ago

Victoria is 4 years older than her neighbor . The sum of their ages is no more than 14 years .

Blizzard [7]

(x+4)+v<=14 is the equation
the neighboor's age is at most, 5 years
and victoria is 9 at most

3 0

3 years ago

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the length of one leg of a right triangle is 6 feet. the length of the hypotenuse is 2 ft longer than the other leg. Find the le

Minchanka [31]

Answer:

The missing leg is 8 feet and the hypotenuse is 10 feet.

Step-by-step explanation:

Use the Pythagorean theorem which is A²+B²=C².

So we know the first side is 6 so plug that into the equation which would now be 6²+B²=C².

Because the hypotenuse is 2 feet longer than the missing leg we can plug in C=B+2 which would now make it 6²+B²=(B+2)².

Now we solve what we have so far which would now make the equation 36+B²=B²+4B+ 4.

Now we can figure out that 4B=32.

Now isolate the variable, B, by divide both side of 4B=32 by 4.

This gives us B=8.

So the other side is 8 feet.

Since we know that the hypotenuse is 2 feet longer than the leg we just add 2 feet to the original 8 feet to find the hypotenuse to be 10 feet.

5 0

3 years ago

Can you help me image is here which 2 Should I drag

labwork [276]

The answers you should drag are 3 and 4

4 0

2 years ago