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Sergeu [11.5K]
3 years ago
10

Last one for real this time! Find the perimeter and area the figure.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

Perimeter = 180

Area = 1080

Step-by-step explanation:

Perimeter is length of all sides added together. 30+78+72 = 180

Area is the length times the height/2 for a triangle. 30*72/2 = 1080

I hope this helped <3

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16x^2 - 49 when factored is ?
vaieri [72.5K]

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

•There must be 2 terms.

•They must be separated by a negative sign.

•Each term must be a perfect square.

First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

4x times 4x equals 16x²

Then, find 2 squares that times together to make 49.

7×7=49

You can put the two squares into a bracket with the x variable first, then the number:

(4x-7)(4x+7)

In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

3 0
3 years ago
-2.2.8.4<br> Find the distance between the two numbers on a number line
GREYUIT [131]

Answer:

10.6

Step-by-step explanation:

-2.2 is 2.2 units away from zero and 8.4 is 8.4 away from zero on a number line. add 2.2 and 8.4

5 0
3 years ago
What the answer to this?
garik1379 [7]

Answer:

<h2>13</h2>

Step-by-step explanation:

9-5\div (8-3)\times 2+6\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-3\right)\::\quad 5\\=9-5\div \:5\times \:2+6\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\div \:5\times \:2\::\quad 2\\=9-2+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:9-2+6\:\\:\quad 13

7 0
3 years ago
(a) What is the matrix representation of G, with vertices in numerical (ascending) order? (b) Consider using the Greedy Coloring
Vsevolod [243]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

5 0
3 years ago
Please someone should help me out​
ki77a [65]

Answer:

6cm is the missing length

Step-by-step explanation:

See the 10cm and the 4cm?

If you look at in a way if you added 6 more centimeters to the 4cm it would be 10, leaving 6cm as the missing length.

8 0
3 years ago
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