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2 years ago

A rectangle has an area of 40 square units. The length is 6

Mathematics

1 answer:

VladimirAG [237]2 years ago

6 0

The dimensions of the rectangle are 10 by 4

Step-by-step explanation:

The area of a rectangle is given by product of the length and width.

Area=l*w where l is the length and w is the width.

Assume the width to be x

The length is 6 units greater than the width,which is x+6

The area will be x(x+6) = x²+6x

This area x²+6x= 40

Form a quadratic equation as x²+6x-40=0

Solving the quadratic equations;

x²+6x-40=0

x²+10x-4x-40=0

x(x+10)-4(x+10)=0

(x-4)(x+10)=0

x-4=0

x=4 taking a positive value for length then;

width will be x=4 units

Length will be x+6 = 4+6=10

Learn More

Area of rectangle : brainly.com/question/10865708

brainly.com/question/10033607

Keywords: Area, rectangle

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Is AB parallel to Bo? Explain.

Svetradugi [14.3K]

Answer:

AB parallel to CD because both lines have a slope of

of 4/3

Step-by-step explanation:

The question is not complete, there is no graph.

A graph for the question is attached below.

From the image attached below, line 1 passes through points A = (-3, -3) and point B = (0, 1) while line 2 passes through point C = (0, -5) and point D = (3, -1).

Two parallel are said to be parallel if the have the same slope. The slope of a line passing through points:

$(x_1,y_1)\ asnd\ (x_2,y_2).\ The\ slope \ is\ given\ as:\\\\Slope(m)=\frac{y_2-y_1}{x_2-x_1}$

Line 1 passes through points A = (-3, -3) and point B = (0, 1), the slope of line 1 is:

$Slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-3)}{0-(-3)}=\frac{1+3}{0+3}=\frac{4}{3}$

Line 2 passes through point C = (0, -5) and point D = (3, -1). the slope of line 2 is:

$Slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-(-5)}{3-0}=\frac{-1+5}{3}=\frac{4}{3}$

Therefore AB parallel to CD because both lines have a slope of

of 4/3

7 0

2 years ago

Evaluate. 58−(14)2=58-142= ________

nasty-shy [4]

For this case we have the following expression:

$58- (14) ^ 2$

The first step is to solve the quadratic term.

We have then:

$58- (14) ^ 2 = 58-196$

Then, the second step is to subtract both resulting numbers:

$58- (14) ^ 2 = -138$

We observe that the result obtained is a negative number.

Answer:

The result of the expression is given by:

$58- (14) ^ 2 = -138$

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luda_lava [24]

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AVprozaik [17]

Thanks for sharing my guy, very cool

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Artemon [7]

Answer:

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explanation:

hope it helps, btw i dont have step-by-step explanation becuase i already have a answer. 

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