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3 years ago

I need help on this page

Mathematics

1 answer:

Aloiza [94]3 years ago

4 0

Because it is a question asking for ppl playing either soccer OR basketball, we add the two fractions together. Thus, Part A becomes 3/10 + 4/10, which is 7/10 (since the denominators are the same, you only add the numerators).

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Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

MariettaO [177]

Answer:

$\displaystyle y=-\frac{1}{5}x+\frac{17}{5}$

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

$y=mx+b$

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

The given line has a slope m1=5, thus the slope of our required line is:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}$

The equation of the line now can be expressed as:

$\displaystyle y=-\frac{1}{5}x+b$

We need to find the value of b, which can be done by using the point (7,2):

$\displaystyle 2=-\frac{1}{5}*7+b$

Operating:

$\displaystyle 2=-\frac{7}{5}+b$

Multiplying by 5:

$10=-7+5b$

Operating:

$10+7=5b$

Solving for b:

$\displaystyle b=\frac{17}{5}$

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}$

7 0

3 years ago

Select the step in the solution that shows the first error.

siniylev [52]

Answer:

Step 2: 20x = 80 + 10x

Step-by-step explanation:

Step 1: 20x - 10 = 80 + 10x

Add 10 to each side

20x - 10+10 = 80+10 + 10x

20x = 90 + 10x

Step 2: 20x = 80 + 10x This has the first error

Step 3: 10x = 80

Step 4: x= 8

8 0

3 years ago

GIVING BRAINLIEST FOR BEST ANSWER!

ICE Princess25 [194]

Answer:

13/10

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

How do you find percent decrease?

snow_lady [41]

I think thats how ur welcome

5 0

3 years ago

involving the election of officers on a committee. Assume that the committee consists of 14 members including Tasha. The same th

Yanka [14]

Answer:

There are 364 ways of filling the offices.

Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

$C^{n} _{r}=\frac{n!}{(n-r)!r!}$

where n=14 (number of members)

r=3 number of offices

n!=n·(n-1)·(n-2)·...·3·2·1

$C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364$

5 0

3 years ago