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2 years ago

Please help !! Find the slope and the y-intercept of the graph of the linear equation y=8 .

Mathematics

1 answer:

nexus9112 [7]2 years ago

5 0

Answer:

the slope is 0

y-intercept is 8

Step-by-step explanation:

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The length of a rectangle is 8 cm longer than its width. find the dimensions of the rectangle if its area is 108cm

hram777 [196]

Answer:

$4+2\sqrt{31}\text{ by } -4+2\sqrt{31}$

Or about 15.136 centimeters by 7.136 centimeters.

Step-by-step explanation:

Recall that the area of a rectangle is given by:

$\displaystyle A = w\ell$

Where w is the width and l is the length.

We are given that the length is 8 centimeters longer than the width. In other words:

$\ell = w+8$

And we are also given that the total area is 108 square centimeters.

Thus, substitute:

$(108)=w(w+8)$

Solve for w. Distribute:

$w^2+8w=108$

Subtract 108 from both sides:

$w^2+8w-108=0$

Since the equation is not factorable, we can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 1, b = 8, and c = -108. Substitute and evaluate:

$\displaystyle \begin{aligned} w&= \frac{-(8)\pm\sqrt{(8)^2-4(1)(-108)}}{2(1)} \\ \\ &=\frac{-8\pm\sqrt{496}}{2}\\ \\ &=\frac{-8\pm4\sqrt{31}}{2} \\ \\ &=-4 \pm 2\sqrt{31} \end{aligned}$

So, our two solutions are:

$w=-4+2\sqrt{31} \approx 7.136 \text{ or } w=-4-2\sqrt{31}\approx -15.136$

Since width cannot be negative, we can eliminate the second solution.

And since the length is eight centimeters longer than the width, the length is:

$\ell =(-4+2\sqrt{31})+8=4+2\sqrt{31}\approx 15.136$

So, the dimensions of the rectangle are about 15.136 cm by 7.136 cm.

5 0

3 years ago

Jett is 6 feet 2 inches tall. How tall is he in inches ?

Leto [7]

Answer:

74in

Step-by-step explanation:

3 0

2 years ago

Please help!!

Marysya12 [62]

The LCD of 3 and 4 is 12. To make 4 into 12, we multiply it by three, so 3 would also have to be multiply by 3, turning 3/4 into 9/12.

The same thing applies to 1/3, only it needs to be multiplied by 4. So it would become 4/12

9/12 - 4/12 = 5/12

4 0

3 years ago

Read 2 more answers

I need to know quick so i would rly apriciate help, if you do a answer and the work ill give u a brainliest!!!

inn [45]

Answer:

Step-by-step explanation:

Let the two integers be a and b.

The difference of them is 26. Thus:

$a-b=26$

One of them (let's use a) is 2 more than 5 times the other. Thus:

$a=2+5b$

Substitute:

$a-b=26\\(2+5b)-b=26$

Combine like terms:

$4b+2=26$

Subtract 2 from both sides:

$4b=24$

Divide by 4:

$b=6$

And the second number is:

$a-b=26\\a-6=26$

Add 6 to both sides:

$a=32$

So, our two numbers are 32 and 6

And the smaller integer is 6.

And we're done :)

8 0

3 years ago

Read 2 more answers

Marvin gas 4 books to read for homework this week. if he reads 2/3 of a book each night ,how many nights will it take him to Rea

balu736 [363]

If Marvin has 4 books to read, this means we have to divide 4 by 2/3 (the amount of each book that he is currently reading in a night), which equals 4/1×3/2=twelve halves, 12/2÷2/2=6/1=6. Hopefully that answered the question succinctly for you.

8 0

3 years ago