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3 years ago

Determine the value of y, if x is –9. y = |x|-7

Mathematics

1 answer:

iren [92.7K]3 years ago

7 0

Answer:

y=|x|-7
If x=-9 then...
y=|-9|-7
First get the absolute value of -9
y=9-7
Subtract, and your answer is...
y=2

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Sophie [7]

I don’t understand this question

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3 years ago

A survey asked people how they get to work or school, based on what kind of area they live in. The results are shown in the tabl

Anna007 [38]

Answer:

We're comparing the number of urban people who use public transportation to the total number of Urban people. So the answer would be 22/62, which is A. ~0.355.

Step-by-step explanation:

hope it helps ig

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3 years ago

I suck at math if you could help me with these questions that would be great

docker41 [41]

Answer:

Part 8) The triangles are not similar (see the explanation)

Part 12) The triangles are not similar (see the explanation)

Part 14) The area is increased by 125%

Part 15) $h=30\ ft$

Step-by-step explanation:

Part 8) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

Find the value of x in the larger triangle

The sum of the interior angles in any triangle must be equal to 180 degrees

$64^o+85^o+x=180^o$

$149^o+x=180^o$

$x=180^o-149^o$

$x=31^o$

Find the value of y in the smaller triangle

The sum of the interior angles in any triangle must be equal to 180 degrees

$26^o+85^o+y=180^o$

$111^o+y=180^o$

$y=180^o-111^o$

$y=69^o$

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 12) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The measure of the interior angles of the triangle of the left are

88°

29° ----> by vertical angles

and

180°-(88°+29°)=63° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The measure of the interior angles of the triangle of the right are

180°-91°=89° ----> the sum of a exterior angle and a interior angle is equal to 180 degrees

29°

and

180°-(89°+29°)=62° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 14) we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is 1.5

Because

100%+50%=150%=150/100=1.5

The scale factor squared is $1.5^2=2.25$

That means that the new area is 2.25 times the original area

The area is increased by 125%

Part 15)

Let

h ----> the height of the pine

we know that

The height of the person divided by the length of his shadow is equal to the height of the pine tree divided by the length of its shadow

using proportion

$\frac{6}{3}=\frac{h}{15}$

solve for h

$2=\frac{h}{15}$

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6 0

3 years ago

Si lanzas una moneda justa 4 veces, ¿cuál es la probilidad

Alexeev081 [22]

Answer:

The probability of getting exactly 2 soles is 0.375.

Step-by-step explanation:

The question is:

If you toss a fair coin 4 times, what's the probability that you get exactly 2 soles?

Solution:

A fair coin has two parts.

On tossing a coin once there is 50-50 odds of both the sides.

So, the probability of one side is, p = 0.50.

It is provided that a fair coin is tossed n = 4 times.

The event of any of the sides showing up after the toss are independent of each other.

The random variable X defined as soles, follows a Binomial distribution with parameters n = 4 and p = 0.50.

The probability mass function of X is:

$P(X=x)={4\choose x}\ (0.50)^{x}\ (1-0.50)^{4-x};\ x=0,1,2,3,4$

Compute the probability of getting exactly 2 soles as follows:

$P(X=2)={4\choose 2}\ (0.50)^{2}\ (1-0.50)^{4-2}$

$=6\times 0.25\times 0.25\\\\=0.375$

Thus, the probability of getting exactly 2 soles is 0.375.

5 0

3 years ago

What is the length?

xxMikexx [17]

Answer:

2 3/10

the line in the middle represents 1/2 because 5/10 is equal to 1/2

7 0

3 years ago