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2 years ago

7

1 Ben's Barbershop has a rectangular logo for their business that measures 7 feet long with an area that is exactly the maximum

area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo..

1 answer:

fiasKO [112]2 years ago

6 0

The equation that could be used to determine the unknown side length, M of the logo is A = 7M

<h3>How to determine the equation?</h3>

From the question, we have the following parameters:

Logo: Rectangle
Length, L = 7 feet

Represent the area of the logo with A, and M represents the unknown side

The area (A) of the rectangle is calculated using:

A = L * W

Substitute 7 for L, and M for W

A = 7M

Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 7M

Read more about areas at:

brainly.com/question/24487155

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Slope intercept of (1,1) and (0,7)

Sonja [21]

Answer:

$\boxed {m = -6}$

Step-by-step explanation:

Use the <u>Slope Formula</u> to help you determine the slope of the following two points:

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

(Where $(x_{1}, y_{1})$ is the first point and $(x_{2}, y_{2})$ is the second point)

-Apply both points onto that formula:

$(x_{1}, y_{1}) = (1, 1)$

$(x_{2}, y_{2}) = (0, 7)$

$m = \frac{7 - 1}{0 - 1}$

-Solve:

$m = \frac{7 - 1}{0 - 1}$

$m = \frac{6}{-1}$

$\boxed {m = -6}$

3 0

3 years ago

Ivahew [28]

ANSWER

$x=\frac{2-\sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

We have

$3x^2-4x-2=0$

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-\frac{4}{3}x= \frac{2}{3}$

Adding $(-\frac{2}{3})^2$ to both sides gives

$x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2$

The expression on the Left Hand side is a perfect square.

$(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}$

$\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}$

$\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}$

$\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}$

Splitting the plus or minus sign gives

$x=\frac{2- \sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

3 0

3 years ago

Read 2 more answers

1. If u were to draw a tree diagram showing all the possible outcomes for rolling a six sided die twice, how many total outcomes

Furkat [3]

1. 2). 2. 1) 3 * 2 =6

8 0

3 years ago

Select the correct answer.

laiz [17]

I Think The answer is c I hope it helps My friend Message Me if I’m wrong and I’ll change My answer and fix it for you

6 0

2 years ago

Read 2 more answers

What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm? Ente

natulia [17]

The measure in radians for the central angle of the circle is; 0.9 radians.

<h3>What is the angle measure in radians of the central angle?</h3>

Since, the length of the arc is given as 7.2cm and it's radius is 8cm.

It follows that the angle measure of the central angle can be evaluated as follows;

7.2 = (A/6.28) × 2× 3.14 × 8

7.2 = 8A

A = 7.2/8

A = 0.9 radians.

Read more on radian measure;

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1 year ago