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mariarad [96]
2 years ago
8

What is the area of this figure? ​

Mathematics
1 answer:
polet [3.4K]2 years ago
4 0
First, calculate the area of the square, which is 25

next, find the area of one half of the triangle by multiplying 2.5 and 4 (10), then dividing that by 2 (5).

since the two half’s of the triangle are symmetrical, just add 5 and 5 to get 10.

add the area of the triangle (10) and the square (25) to get the total area.

the answer should be 35

hope this helps!
You might be interested in
What are the solutions of the quadratic equation4x*2 − 8x − 12 = 0 ?A) x = −1 and x = −3B) x = −1 and x = 3C) x = 1 and x = −3D)
blsea [12.9K]

The solutions for the given quadratic equation are x = -1 and x = 3. So, option B is correct.

<h3>What are the solutions to an equation?</h3>
  • The solutions to an equation are the one that satisfies the equation and makes it true.
  • There are different methods to solve an equation and find its solutions.
  • These solutions are also called zeros or roots of the equation.

<h3>Calculation:</h3>

The given equation is 4x² - 8x - 12 = 0

Since it is a quadratic equation, it has 2 roots or solutions.

On factorizing the given equation,

4x² - 8x - 12 = 0

⇒ 4x² - 12x + 4x -12 = 0

⇒ 4x(x - 3) + 4(x - 3) = 0

⇒ (4x + 4)(x - 3) = 0

According to the zero-product rule,

4x + 4 = 0 or x - 3 = 0

So, x = -4/4 = -1 or x = 3

Therefore, the solutions of the given equation are -1 and 3.

So, option B) x = -1 and x = 3 is correct.

Learn more about solving an equation here:

brainly.com/question/25678139

#SPJ4

5 0
2 years ago
Please help not sure if baby has any correct ​
Elodia [21]
So I think maybe the example for the first problem created some confusion, and you may want to have your child take another look.

If we numbered the top half 1 to 9 going from left to right, numbers 1, 2, 6, 7 and 8 are right. They worked because the top number (numerator) perfectly fit into the bottom number (denominator). This is not true for the rest.

The key is to find the largest number that you can think of that will go into BOTH the top and the bottom evenly.

So for number 3: 18/24; 18 does not fit evenly into 24. The highest number that will fit into both is 6, so you divide both top and bottom by 6 and your answer is 3/4.

Number 4: 45/54; the highest number that goes into both is 9, so you divide both top and bottom by 9 and your answer is 5/6.

Number 5: 55/66; the highest number that can go into both is 11, so the answer is 5/6.

Is this making sense?

The bottom, numbering 1 to 9 from left to right. The correct ones are 1, 6 and 9.

For 2: 14/41 is about 15/40. Both can be divided by 5, so the answer is 3/8.

For 3: 20/81 is about 20/80, and 2/8 is close, but can still be divided by 2, so the answer is 1/4.

For 4: 24/49 is closer to 25/50 than 20/50. 25/50 can be divided by 25, so the answer is 1/2.

For 5: it was all correct, but the answer can be further reduced from 2/8 to 1/4.

For 7: 23/72 is about 25/75, and 25 goes into both, so it reduces to 1/3.

For 8: 13/21 is about 15/20, and 5 goes into both, so the answer is 3/4.

As your child continues to learn this, remember that if he or she gets an answer like 2/6 or 6/12, they should ask themselves if they can further reduce the fractions- 2/6 reduces to 1/3, and 6/12reduces to 1/2. I know it's confusing, but they do get the hang of it with practice
5 0
3 years ago
Which set of values for x makes the inequality 12−x&lt;7 true
kozerog [31]

Answer:

\{x:x>5\}

Step-by-step explanation:

Given

12 - x < 7

Required

Values of x that make it true

First: solve the inequality.

12 - x < 7

Collect Like Terms

- x < 7-12

- x < -5

Multiply both sides by -1

-1 * - x < -5 * -1

x > 5 --- The inequality changes when multiplied by a negative value

So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)

Hence, the set is:

\{x:x>5\}

7 0
3 years ago
Translate each algebraic expression into ordinary words. <br> a. 5x-3<br> b. 2(x+y)<br> c. 3-(x+5)
jolli1 [7]
Hey there!
For all this, we'll start with defining any variable as "a number", as we're using words.
a) Three less than the product of five and a number.
b) Two times the sum of x and y.
c) Three subtracted from the sum of a number and five.
Hopefully this helps!
4 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ghella [55]
External portion of the secant segment PN is x

PN = 32
LN = 22 + 14 = 36

By the Secant and Segment Theorem:
PN*x=LN*MN \\ 32x=36*14 \\ 32x=504 \\ x=504/32 \\ x=15.75 \ units

3 0
3 years ago
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