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2 years ago

Find the equation of the line parallel to the graph of 4x-5y=-1 that contains the point (1,3)

Mathematics

1 answer:

rewona [7]2 years ago

4 0

Answer:

To find the equation of the line parallel to the graph, first of all find the slope of the graph by making y the subject of the formula and comparing the resulting equation with y = mx + c , knowing fully well that m stands for the slope.

So, from the equation of the graph give, y = 4x/5 +1/5, therefore the slope is 4/5. For a line to be parallel to the graph then they must have the same slope, to find the equation of the line at the given point, then we use the formula

y - y1 = m ( x - x1 )

y - 3 = 4/5 ( x - 1 )

multiply through by 5

5( y - 3 ) = 4 ( x - 1)

5y - 15 = 4x - 4

5y - 4x = - 4 + 15

so, 5y - 4x = 11 is the equation

Step-by-step explanation:

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What is the difference of the polynomials?<br> I will give 40 points

Dmitriy789 [7]

Answer:

im answering this for the points and also u lied about how many points i would be getting. -.-

Step-by-step explanation:

answer is C i think

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2 years ago

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Dawn and Jackson have baseball cards in the ratio of 2:3. Together, they have a total of 60 baseball cards. How many baseball ca

loris [4]

Answer:

24 and 36

Step-by-step explanation:

2x + 3x = 60

5x = 60

x = 12

Dawn has 2(12) = 24

Jackson has 3(12) = 36

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2 years ago

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Nina buys a small rug in the shape of a kite. The width of the rug is half its height. What are the width and area of the rug? (

Alenkinab [10]

Answer:

$Width = 20\ in$

$Area = 400\ in^2$

Step-by-step explanation:

Given

See attachment for kite dimension

Required

Determine the width and the area

From the attachment, the height of the kite is:

$Height = 31\ in + 9\ in$

$Height = 40\ in$

The width which is half the height is:

$Width = \frac{1}{2} * Height$

$Width = \frac{1}{2} * 40\ in$

$Width = 20\ in$

The area is:

$Area = \frac{Height * Width}{2}$

$Area = \frac{40\ in * 20\ in}{2}$

$Area = 40\ in * 10\ in$

$Area = 400\ in^2$

5 0

2 years ago

whats the circumference of a circle with radius of 7 inches round your answer to the nearest inch a. 44 inches b. 41 inches c. 1

ivolga24 [154]

Circumference of a cirlce=2πr
Data:
r=7 in

Circumference=2(3.141592....)(7 in)=43.9822...in≈44 in.

Answer: 44 inches.

5 0

3 years ago

A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the

SpyIntel [72]

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± $t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }$

$t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093$

[15.3 ± 2.093 * $\frac{6.8}{\sqrt{20} }$ ]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

8 0

3 years ago