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aleksandr82 [10.1K]
3 years ago
9

Factor the equation in the picture​

Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

D

Step-by-step explanation:

4 x^ + 36=0

4x( x + 9) =0 provd

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Nadia says the hypotenuse of the right triangle has a length of 73 because the Pythagorean theorem states that (28+45)squared eq
Setler79 [48]

Answer: Her solution is incorrect. The hypotenuse is 53 units

Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.

The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;

73^2 = 28^2 + 45^2

5329 = 784 + 2025

5329 ≠ 2809

As we have determined, writing out the expression as

73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.

The correct solution is as follows;

AC^2 = AB^2 + BC^2

AC^2 = 28^2 + 45^2

AC^2 = 784 + 2025

AC^2 = 2809

Add the square root sign to both sides of the equation

AC = 53

Therefore, the hypotenuse is 53 units

4 0
3 years ago
Read 2 more answers
ASAP!!! ILL GIVE BRAINLIEST
Ostrovityanka [42]

Answer:

The correct options are 2 and 4.

Step-by-step explanation:

From the given box plot it is clear that

\text{Minimum value}=20

Q_1=25

Median=40

Q_3=50

\text{Maximum value}=110

We know that these number divides the data in four equal parts.

Q_1=25\%

Median=50%

Q_3=75\%

25% of the data values lies between 50 and 110. Therefore option 1 is incorrect.

Seventy-five percent of the data values lies between 20 and 50. Therefore option 2 is correct.

It is unlikely that there are any outliers. This statement is not true because the is a huge difference between third quartile and maximum value.

Therefore option 3 is incorrect.

The interquartile range is

IQR=Q_3-Q_1=50-25=25

Therefore option 4 is correct.

The range is

Range = Maximum-Minimum

Range=110-20=90

Therefore option 5 is incorrect.

4 0
3 years ago
Avi a gymnast weights 40 kg
adell [148]

What is the question?

7 0
3 years ago
Which sides form a right triangle​
Sholpan [36]

Answer:

c

Do i get brainliest lol

3 0
3 years ago
Based on the graph, which inequality is correct for a number that is to the right of -4
Anon25 [30]

2 > -4

2 is greater than -4

3 0
3 years ago
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