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3 years ago

8

The perimeter of a right triangle is 24 meters, and the area is 24 square meters. The lengths of the sides are each multiplied b

y 4. What is the area of the new triangle? help

1 answer:

IRINA_888 [86]3 years ago

4 0

Answer:

384m

Step-by-step explanation:

24 x 4 = 96

96 x 4 = 384

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What is the area of the figure?

Orlov [11]

Answer:

90 in²

Step-by-step explanation:

The figure's area is that of four right triangles, each with legs of 6 in and 7.5 in. The area of each triangle is half the product of the leg lengths, so is ...

triangle area = (1/2)(6 in)(7.5 in)

Then the area of 4 of those triangles is ...

figure area = 4 · triangle area = 2(6 in)(7.5 in) = 90 in²

8 0

3 years ago

Help how do I do this

guajiro [1.7K]

Answer:

12X+14

Step-by-step explanation:

Bc u can’t add X wit a number so 12X+14

7 0

3 years ago

Solve using elimination.<br><br> -7x – 5y = 5<br> -9x – 5y = 15

ozzi

-7x-5y=5
-(-9x-5y)=15 It's minus because negative times negative = positive
2x=-10
x= -5

-7(-5) - 5y = 5
35-5y =5
-5y = -30
y=6

3 0

3 years ago

Read 2 more answers

Which binomial is a factor of 49x^2+84xy+36y^2

sweet-ann [11.9K]

7x + 6y is a binomial that is a factor of given equation

<em><u>Solution:</u></em>

A binomial is a mathematical expression which has only two terms

<em><u>Given expression is:</u></em>

$49x^2 + 84xy + 36y^2$

We have to find the binomial that is a factor to given expression

Let us find the factors of given equation

$49x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}49x^2+84xy+36y^2\mathrm{\:as\:}\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\mathrm{Rewrite\:}49\mathrm{\:as\:}7^2\\\\7^2x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\7^2x^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\7^2x^2=\left(7x\right)^2\\\\Therefore,\\\\\left(7x\right)^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\6^2y^2=\left(6y\right)^2\\\\$

$Therefore\\\\\left(7x\right)^2+84xy+\left(6y\right)^2\\\\\mathrm{Rewrite\:}84xy\mathrm{\:as\:}2\cdot \:7x\cdot \:6y\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=7x,\:b=6y\\\\Therefore,\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2 = \left(7x+6y\right)^2$

Thus we get,

$49x^2 + 84xy + 36y^2 = (7x+6y)^2\\\\49x^2 + 84xy + 36y^2 = (7x+6y)(7x+6y)$

Thus the binomial which is a factor is 7x + 6y

6 0

3 years ago

A dog runs 450 feet and 12 minutes. How fast was he running

JulsSmile [24]

Answer:
37.5 feet per second (if you are supposed to round up please do so)

Explanation:
You would divide 450 by 12
this allowed you to see how many feet were run in one minute.

6 0

2 years ago