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3 years ago

If (x-2)^2 =49 then x could be

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

7 0

Answer:

There are 2 solutions: x = -5, 9.

Step-by-step explanation:

(x-2)^2 =49

Take square roots of both sides:

x - 2 = +/- 7

So x - 2 = 7 gives x = 9 , and

x - 2 = -7 gives x = -5.

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Write yes if the given set of lengths are side lengths of a right triangle. Otherwise write No

Amiraneli [1.4K]

Answer:

a) Yes

b) No

c) Yes

d) No

e) No

Step-by-step explanation:

Right triangle:

The square of the larger side is equals to the sum of the squares of the smaller sides.

a. 6, 8, 10

$6^2 + 8^2 = 36 + 64 = 100 = 10^2$

The answer is yes.

b. 8, 15, 16

$8^2 + 15^2 = 64 + 225 = 289 \neq 16^2 = 256$

So no.

c. 10, 24, 26

$10^2 + 24^2 = 100 + 576 = 676 = 26^2$

So yes

d. 20, 21, 28

$20^2 + 21^2 = 400 + 441 = 841 \neq 28^2 = 784$

So no.

e. 9, 35, 41

$9^2 + 35^2 = 81 + 1225 = 1306 \neq 41^2 = 1681$

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3 years ago

Compute the conditional probabilities P(A|B) and P(B|A).

Oksanka [162]

Answer:

Step-by-step explanation:

Good evening ,

P(A|B) = P(A∩B)/P(B)

P(B|A) = P(A∩B)/P(A)

6 0

3 years ago

Write two inequalities to compare -5and -3

AleksandrR [38]

-3 > -5
-5 < -3
hope it helps, sorry if I'm wrong

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3 years ago

The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second.

pickupchik [31]

Answer: first option.

Step-by-step explanation:

The ratio of the area of the triangles can be calculated as following:

$ratio_{(area)}=(\frac{l_1}{l_2})^2$

Where $l_1$ is the lenght of the given side of the smaller triangle and $l_2$ is the lenght of the given side of the larger triangle.

Therefore:

$ratio_{(area)}=(\frac{28}{32})^2=\frac{49}{64}$

It can be written as following:

$ratio_{(area)}=49:64$

The ratio of the perimeter is:

$ratio_{(perimeter)}=\frac{l_1}{l_2}$

Where $l_1$ is the lenght of the given side of the smaller triangle and $l_2$ is the lenght of the given side of the larger triangle.

Therefore:

$ratio_{(perimeter)}=\frac{28}{32}=\frac{7}{8}$

It can be written as following:

$ratio_{(perimeter)}=7:8$

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3 years ago

Ismael made a scaled copy of the following

bixtya [17]

Answer:

Options (A), (B) and (C)

Step-by-step explanation:

In the given figure,

Length of side AD = 16 units

If this side is scaled by a factor = k

Then the length of the corresponding side will be = 16k

If 0 < k < 1,

Then length of the corresponding side will be less than 16.

[Example: If k = $\frac{1}{4}$

Therefore, scaled side of the corresponding side of the quadrilateral = $16\times \frac{1}{4}$ = 4]

That means length of corresponding sides may be 4, 6.5 and 12.

Options (A), (B) and (C) will be the answer.

8 0

3 years ago

If (x-2)^2 =49 then x could be​

If (x-2)^2 =49 then x could be