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krek1111 [17]
3 years ago
12

The area of a rectangular rug is given by the trinomial r^2-4r-77. What are the possible dimensions of the​ rug? Use factoring.

Mathematics
1 answer:
Softa [21]3 years ago
4 0
When you factor the equation...

r^2-4r-77

r^2+7r-11r-77

r(r+7)-11(r+7)

(r-11)(r+7)  so each parenthetical term is a dimension.

Note that r>11 though for any possible real solution. 
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HELP<br><br>Graph the solution of the inequality. <br><br>14 ≤ 2t + 18 &lt; 20
yawa3891 [41]
<h2>Greetings!</h2><h3>First when doing an inequality, if you find it easier to think of the ≤ signs as equal signs it can make it look easier. </h3>

14 = 2t + 18 = 20

<h3>Because we need to isolate the t, we need to subtract 18 from either side:</h3>

14 - 18 ≤ 2t + 18 - 18 < 20 - 18

<h3>Which then simplifies to:</h3>

-4 ≤ 2t < 2

<h3>Now, to get the t without two lots of it, we simply divide all sides by two:</h3>

-2 ≤ t < 1

<h3>So this means that t is smaller than one and bigger than or equal to -2, and the graph that shows that is C, because it includes -2 but is less than 1.</h3>
<h2>Hope this helps!</h2>
7 0
4 years ago
Can sides of a triangle have lengths of 3, 11, and 12 ??
agasfer [191]

Answer:

QUESTION:

Can sides of a triangle have lengths of 3, 11, and 12 ??

ANSWER:

Yes. It's called an equilateral triangle, and it can work because two side lengths added together are bigger than the third side.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

5 0
3 years ago
Solve the system by substitution
Tatiana [17]

Answer:

(x,y) = (-36,6)

Step-by-step explanation:

-6y=x

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x=-6y,

so -6y+y=-30

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y=6

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8 0
3 years ago
PLEASE HELP 10 POINTS
den301095 [7]

Answer:

Step-by-step explanation:

She received 80 votes

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8 0
3 years ago
Please find the value?
lesantik [10]

Answer:

Step-by-step explanation:

By the marks on the angles of this triangle, it is isosceles.  By the Isosceles Triangle Theorem, if 2 angles of a triangle have the exact same measure, then the sides across from those angles have the exact same measure as well.  That means that, algebraically,

5x - 2 = 33 and

5x = 35 so

x = 7

8 0
3 years ago
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