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Alona [7]
3 years ago
13

Find the value of x.​

Mathematics
2 answers:
geniusboy [140]3 years ago
7 0

Answer:

x = 24

Step-by-step explanation:

When given a right triangle, one can apply the Pythagorean theorem. The Pythagorean theorem states;

a^2 + b^2 = c^2

Where (a) and (b) are legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Substitute the given value, and solve for the missing value;

7^2 + x^2 = 25^2\\

Simplify,

49 + x^2 = 625

Inverse operations,

49 + x^2 = 625\\-49\\\\x^2 = 576\\\sqrt{}\\\\x = 24

Veseljchak [2.6K]3 years ago
5 0

Answer: prob 24

good luck!!

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yarga [219]
This is a quadratic equation with a general equation of ax^2 + bx + c.
The quadratic formula can help to get the roots of the equation. We know the highest degree of that equation is 2; so there will be also two roots.
The quadratic formula is
x = [-b ± √(b^2 - 4ac)] / 2a

With a = 1, b = 7, c = 2,
x = {-7 ± √[(7)^2 - 4(1)(2)]} / 2(1) = (-7 ± √41) / 2

So the two roots are
x1 = (-7 + √41) / 2 = -0.2984
x2 = (-7 - √41) / 2 = 0.2984

This is also another way of factorizing the equation
(x + 0.2984)(x + 0.2984) = x^2 + 7x + 2
4 0
3 years ago
A school principal ordered 1,000 pencils. He gave an equal number to each of 7 teachers until he had given out as many as possib
Semenov [28]
1000/7 = <span>142.857142857

Because this is not an even number we take "142", then times it by 7 teachers.

142*7= 994

1000 - 994 = 6 Pencils left</span>
3 0
3 years ago
What number times itself equals 196?
leonid [27]
 <span>number times itself equals 196 
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= n * n = 196

14 * 14 = 196 


8 0
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Which of the following 95% confidence intervals would lead us to reject Hp =0.30 in favor of
lukranit [14]
The correct answer is letter C
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Check all of the ordered pairs that satisfy the equation below.y=2/5x
zvonat [6]

We are going to do this step by step:

Let's start with option A

A.

X = 25 and Y = 5/2

y=\frac{2}{5}\cdot x=\frac{2}{5}\cdot25=\frac{2\cdot25}{5}=\frac{50}{5}=\frac{5\cdot10}{5\cdot1}=10

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

B.

X = 14 , Y = 35

y=\frac{2}{5}\cdot14=\frac{28}{5}

In case, when X = 14, then Y = 28/5, which is different to 35

C.

X = 40 , Y = 24

y=\frac{2}{5}\cdot40=\frac{80}{5}=16

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

D.

X = 10 , Y=4

y=\frac{2}{5}\cdot10=\frac{20}{5}=4

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

E.

X = 50 , Y = 20

y=\frac{2}{5}\cdot50=\frac{100}{5}=20

In this case, the values of Y are also the same.

F.

X = 30 , Y = 12

y=\frac{2}{5}\cdot30=\frac{60}{5}=12

Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation

3 0
1 year ago
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