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2 years ago

The area of a rectangle is 8x^2 +14x + 3. the width is 2x +3. What is the length?

Mathematics

1 answer:

Gekata [30.6K]2 years ago

5 0

Answer:

4x+1

Step-by-step explanation:

Please see attached image.

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A business buys invoice forms at a cost of $4.45 a box for the first 20 boxes, $4.00 a box for the next 25 boxes, and $3.75 a bo

Sergio039 [100]

So the first 20 boxes at 4.45 a piece will total 89.
The next 25 at 4 each will be 100.
Add those and you have 189 dollars, which is a spare of 45.
45/3.75 = 12 .
So the answer is 57

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2 years ago

1. Which of the following is the first step in the licensing process?

Ganezh [65]

I believe it’s A
Idnjnxjxnnxnndknxjnxjjd

3 0

2 years ago

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Function g can be thought as scaled version of f(x)=x^2

Genrish500 [490]

Answer:

$g(x)=-\frac{1}{4} x^2$

Step-by-step explanation:

The graph is reflected against the x-axis, meaning it is negative

Next, we see that the graph is stretched out, therefor we have a fraction

The fraction is -1/4

You can check by inputting the x values into the x variable.

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2 years ago

Which shows the four-term polynomial and factored form of x2 + 6x-27?

blsea [12.9K]

Answer:

0x2+9x-3x-27 6x-27

Step-by-step explanation:

7 0

2 years ago

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PROBLEM SOLVING You are participating in an orienteering competition. The diagram shows the position of a river that cuts throug

Wewaii [24]

Answer:

The shortest distance is 2.2 miles

Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

$y=3x+2$

The slope of the river is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

$m=-1/3$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-1/3$

$point(2,1)$

substitute

$y-1=-(1/3)(x-2)$

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

$y=3x+2$ ------> equation A

$y-1=-(1/3)(x-2)$ -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$d=\sqrt{(1.7-1)^{2}+(-0.1-2)^{2}}$

$d=\sqrt{(0.7)^{2}+(-2.1)^{2}}$

$d=2.2\ miles$

6 0

2 years ago