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andreyandreev [35.5K]
3 years ago
7

Can 5, 6 and 30 squared form a right triangle?

Mathematics
2 answers:
Phantasy [73]3 years ago
6 0

Answer:

No; it cannot form a right triangle

Step-by-step explanation:

Use the Pythagorean theorem.

5 squared + 6 squared ≠ 30 squared

25 + 36 ≠ 90000

61 ≠ 90000

Also, note that that the sum of the two shorter lengths have to be greater than the longer length to form any kind of triangle.

Galina-37 [17]3 years ago
4 0

Answer:

no

Step-by-step explanation:

A triangle is equal to 180.

5²+6²=30²

25+36=900

61=900

No solution

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Tashia paid two months rent and a $500 security deposit when she signed her lease. In total, she paid $2,400.
fiasKO [112]

The equation that represents the scenario is  2x + 500 = 2400

The cost of one month rent is $950

She paid two months rent and a $500 security deposit when she signed for a lease. In total she paid $2400.

let

the cost of a month rent = x

Therefore,

<h3>Total cost Equation</h3>
  • 2x + 500 = 2400

The cost of the one month rent can be calculated as follows:

  • 2x + 500 = 2400
  • 2x = 2400 - 500
  • 2x = 1900
  • x = 1900 / 2
  • x = $950

Therefore, the equation that represent the scenario and cost of one month rent are as follows;

  • 2x + 500 = 2400
  • cost of one month rent = $950

learn more on equation here: brainly.com/question/8057577

5 0
2 years ago
The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that  coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}

EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}

FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}

DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}

Slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Slope of DE,

m_1=\frac{4-5}{2+2}= \frac{-1}{4}

Slope of EF,

m_2=\frac{0-4}{0-2}= 2

Slope of FG,

m_3=\frac{1-0}{-4-0}= \frac{-1}{4}

Slope of DG,

m_4=\frac{1-5}{-4+2}= 2

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0
3 years ago
Read 2 more answers
Omg please help please
Brut [27]

x^{2}Answer:

(Explanation)

Step-by-step explanation:

Part A:

The graph of y = x^{2} + 2 will be translated 2 units up from the graph of y = x^{2}.

If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the x^{2}, which is why it doesn't translate left.

This is what graph A should look like:

[Attached File]

Part B:

The graph of y = x^{2} - 2 will be translated 2 units down from the graph of y = x^{2}.

If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the x^{2}, which is why it doesn't translate right.

This is what graph B should look like:

[Attached File]

Part C:

The graph of y = 2x^{2} is a stretched version of the graph y = x^{2}. Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.

This is what graph C should look like:

[Attached File]

Part D:

The graph of y = \frac{1}{2}x^{2} is a compressed version of the graph y = x^{2}. Numbers that are in-between 0 and 1, and -1 and 0 are compressed.

This is what graph D should look like:

[Attached File]

4 0
3 years ago
QUESTION 1 - 1 POINT
guajiro [1.7K]

Answer + Step-by-step explanation:

the inequality by finding the boundary line, then shading the appropriate area.

y > − 5/2x − 5

(anything in shaded region)

8 0
2 years ago
5 times the sum of x and 6
Rina8888 [55]
You would start out with multiplying giving you 5(x+6). then you would have a product of 5x+30. hoped this helped!
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