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Ratling [72]
2 years ago
7

Find X using the Pythagorean Theorem

Mathematics
1 answer:
Natalija [7]2 years ago
8 0

Answer:

x = 4.47

Step-by-step explanation:

Formula for hypotenuse:

x =\sqrt{a^2+b^2}

x=\sqrt{4^2+2^2}

x=\sqrt{16+4}

x=\sqrt{20}

x=4.47

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Twice the sum of a number and 5 is equal to three times the difference of the number and 2
Alexxx [7]

Answer:16

Step-by-step explanation:

Let the number be X

Twice the sum of a number and 5

= 2X+5

Three times the difference of the number and 2

= 3(X - 2)

Since Twice the sum of X and 5 is equal to three times the difference of the X and 2, This means

2(X + 5 )= 3(X - 2)

2X +10 = 3X - 6

3X -2X = 10 + 6 = 16

X = 16

Check

2×(16+5) =3×(16-2)

2×21 = 3×14

42 = 42

3 0
2 years ago
Multiply. Answer with a mixed number in simplest form.<br><br> 5 x 2 1/4
soldier1979 [14.2K]

Answer:

The correct answer should be 11\frac{1\\}{4}

Step-by-step explanation:

Let me know if this is wrong and I will correct it if it is.

3 0
3 years ago
Solve the inequality -2(z + 5) + 20 7 6.
Romashka-Z-Leto [24]

Answer:

z<2

Step-by-step explanation:

-2(z + 5) + 20 > 6

Subtract 20 from each side

-2(z + 5) + 20 -20 > 6-20

-2(z + 5) > -14

Divide each side by -2 remembering  to flip the inequality

-2/ -2(z + 5) < -14/-2

z+5 < 7

Subtract 5 from each side

z+5-5 < 7-5

z<2

8 0
2 years ago
Read 2 more answers
Point Q is the center of dilation. Line segment L M is dilated to created line segment L prime M prime. The length of L Q is 4 a
koban [17]

Answer:

The length of segment QM' = 6

Step-by-step explanation:

Given:

Q is the center of dilation

Pre-image (original image) = segment LM

New image = segment L'M'

The length of LQ = 4

The length of QM = 3

The length of LL' = 4

The original image was dilated with scale factor = 2

QM' = ?

To determine segment QM', first we would draw the diagram obtained from the given information.

Find attached the diagram

When a figure is dilated, we would have similar shape in thus cars similar triangles.

Segment L'M' = scale factor × length of LM

Let LM = x

L'M' = 2x

Using similar triangles theorem, ratio of their corresponding sides are equal.

QM/LM = QM'/L'M'

3/x = QM'/2x

6x = QM' × x

Q'M' = 6

The length of segment QM' = 6

5 0
3 years ago
Read 2 more answers
Helppp!! I NEED HELP PLEASE
Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values f^{-1}(f(3.14)) and f(f(-7)).

Solution:

From the given table, it is clear that the function f(x) is defined as:

f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}

We know that if (a,b) is in the function f(x), then (b,a) must be in the function f^{-1}(x). So, the inverse function is defined as:

f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}

And,

f^{-1}(f(a))=f^{1}(b)

f^{-1}(f(a))=a              ...(i)

Using (i), we get

f^{-1}(f(3.14))=3.14

Now,

f(f(-7))=f(-12)

f(f(-7))=5

Therefore, the required values are f^{-1}(f(3.14))=3.14 and f(f(-7))=5.

5 0
3 years ago
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