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3 years ago

ANYONEEE KNOW THE ANSWER ?? (Don’t answer if you don’t) <333

Mathematics

1 answer:

Contact [7]3 years ago

4 0

Answer:

larger number is -5 and smaller one is -1

Step-by-step explanation:

x+y = -6

x = -6-y ....eqn i

x-y = -4...eqn ii

substituting eqn i in ii

x - y = -4

or, - 6 - y - y = -4

or, -6 - 2y = -4

or, - 2y = 2

so, y = -1

x + y = -6

x + (-1) = -6

so, x = -5

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How to tell if two lines are perpendicular

katrin [286]

ANSWER

The two lines are perpendicular if $m_1 \times m_2 = - 1$

EXPLANATION

Given two lines:

$y=m_1x+b_1$

and

$y=m_2x+b_2$

We can tell wether these two lines are perpendicular to each other using their slopes.

If the product of their slopes is -1, the then the two line are perpendicular.

For example:

The line

$y = 2x + 6$

has slope

$m_1= 2$

and the line

$y = - \frac{1}{2} x + 1$

has slope

$m_2 = - \frac{1}{2}$

The product of the two slopes is

$m_1 \times m_2 = 2 \times - \frac{1}{2}$

This implies that:

$m_1 \times m_2 = - 1$

Therefore the two lines are perpendicular.

4 0

3 years ago

24% as a fraction simplifying it as far as posible

IceJOKER [234]

$p\%=\dfrac{p}{100}\\\\24\%=\dfrac{24}{100}=\dfrac{24:4}{100:4}=\dfrac{6}{25}$

8 0

3 years ago

Read 2 more answers

A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.

andrezito [222]

Answer:

5.48% of the people in line waited for more than 28 minutes

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 20 minutes with a standard deviation of 5 minutes.

This means that $\mu = 20, \sigma = 5$

What percentage of the people in line waited for more than 28 minutes?

The proportion is 1 subtracted by the p-value of Z when X = 28. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{28 - 20}{5}$

$Z = 1.6$

$Z = 1.6$ has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

As a percentage:

0.0548*100% = 5.48%

5.48% of the people in line waited for more than 28 minutes

6 0

3 years ago

Help again and thanks..........

LenKa [72]

Answer:

a = $8
s = $5

Step-by-step explanation:

When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to

ax +by = c
dx +ey = f

are ...

∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆

Using that rule here, we find ...

∆ = 5·3 -6·2 = 3

a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8

s = (41·3 -54·2)/3 = 41 -18·2 = 5

This math can be performed in your head, which is the intent of formulating the rule in this way.

_____

Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.

_____

<em>Comment on the question</em>

We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.

6 0

3 years ago

Find the measure of the missing angle using the exterior angle sum theorm.

Aleks [24]

Answer:

$25^{\circ}$

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180 degrees, and each side of a straight line is equal to 180 degrees. Therefore, the exterior angle labelled $150^{\circ}$ must be equal to the sum of the two angles marked $125^{\circ}$ and $?^{\circ}$ :

$125+x=150,\\x=150-125=\boxed{25^{\circ}}$

Thus, the missing angle is $25^{\circ}$ .

7 0

3 years ago