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3 years ago

How do I get a common denominator

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Multiply each number and find a common denominator they have but they can each be multiplied by different numbers

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On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play

ioda

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

Learn more about Linear Equations here brainly.com/question/24085666

#SPJ1

5 0

1 year ago

I need help I don’t get this someone help.

Andrei [34K]

Answer:

A,C,D

...............................

4 0

3 years ago

Read 2 more answers

suppose S is between R and T. Use the segment addition postulate to solve for each variable. RS= 7y-4 , ST= y+5 , RT= 28

blagie [28]

RS+ST=RT

RS=7y-4

ST=y+5 using RS and RT in the first equation gives you:

7y-4+y+5=RT combine like terms on left side

8y+1=RT, and we are told that RT=28 so:

8y+1=28 subtract 1 from both sides

8y=27 divide both sides by 8

y=27/8

(RS=19 5/8, ST=8 3/8, RT=28)

6 0

3 years ago

Explain the effect level of significance and sample size have on hypothesis testing results. Provide an example and explain how

Scorpion4ik [409]

Solution :

The level of significance refers to the probability of the null hypothesis that may be rejected in the study by the observer. As the sample size increases, the p value also increases but the significance remains same. When the sample size increase and becomes large, the null hypothesis can be rejected more easily.

The business decisions are taken defending the significance level of the statistical validation in cases of uncertainty. Suppose the null hypothesis is the sales after the marketing campaigning remains same. The company will launch the marketing campaign when the confidence level is 95% so that after the campaign the sales will increase. It means that the significance level must be high enough for rejecting null hypothesis of sales post of the marketing campaign that remains same.

When the sample size increases, the sensitivity of hypothesis increases, and for a large sample, the hypothesis may be rejected even though it is true.

4 0

3 years ago