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3 years ago

Find the coordinates of the point 7/10 of the way from A (-3,-5) to B (9.4)

Mathematics

1 answer:

Zepler [3.9K]3 years ago

8 0

Answer:

(-2/17, 5/17)

Step-by-step explanation:

Given the coordinates A (-3,-5) to B (9,4), we are to find the coordinate of the point cutting the line using the ratio 7:10

Using the midpoint formula;

M(X,Y) = {(ax1+bx2/a+b, (ay1+by2/a+b))

Given

x1 = -3, y1 = -5, x2 = 9, y2 = 4, a = 7 and b = 10

get the required coordinates;

X = ax1+bx2/a+b

X = 7(-3)+10(9)/7+10

X = -21+19/17

X = -2/17

Get the Y coordinate;

Y = ay1+by2/a+b

Y = 7(-5)+10(4)/7+10

Y = -35+40/17

Y = 5/17

Hence the required coordinate is (-2/17, 5/17)

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Marta_Voda [28]

Step-by-step explanation:

1.78 . 1012. 4.55 . 1013

ANS. 1,801.36. ANS. 4,609.15

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2 years ago

. Solve for the missing value.

choli [55]

Answer:

1. f= 9

2. y= 10

3. h= 2.5

4. q= 10

5. m= 6

Step-by-step explanation:

1. you divide both sides by 3 to get f by itself

2. you divide both sides with 6

3. you subtract because it is the opposite of addition. you could also write 5/2 but that’s not simplified enough

4. 10 x 4 = 40 so 10 is the answer

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4 0

3 years ago

Read 2 more answers

Corinne bought 5 bags of chips and 4 jars of dipping sauce for $21.82. At the same prices, Ginger bought 4 bags of chips and 3 j

mr_godi [17]

Answer:

The price of one jar of dipping sauce is $2.98

Step-by-step explanation:

Let

x ----> the price of one bag of chip

y ----> the price of one jar of dipping sauce

we know that

<em>Corinne</em>

$5x+4y=21.82$ ----> equation A

<em>Ginger</em>

$4x+3y=16.86$ ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (1.98,2.98)

see the attached figure

therefore

The price of one bag of chip is $1.98

The price of one jar of dipping sauce is $2.98

7 0

3 years ago

Amid needs 32.9 meters of fabric to make one tent. he has an order for 12 tents. how many meters of fabric does he need? a. 367.

kvv77 [185]

Answer: 394.8

Step-by-step explanation:

if Amid needs 32.9 m for one tent he will need

32.9 x 12= 394.8 m for 12 tents

6 0

2 years ago

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0

3 years ago