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2 years ago

Write an equation in Point slope intercept form that is parallel to 2x+3y=4 and passes through the point (1,-4)

Mathematics

1 answer:

yulyashka [42]2 years ago

3 0

Answer:

slope - intercept form

$y = \frac{-2}{3} x -\frac{10}{3}$

Step-by-step explanation:

Step(i)

Given that the equation of the line 2 x+3 y = 4

The equation of the parallel line to the given straight line is

a x +b y + k=0

The equation of the Parallel line to the given straight line is

2x+3y+k=0

This line is passes through the point (1,-4)

2(1) +3(-4)+k=0

⇒ 2-12 +k=0

⇒ -10 +k=0

⇒ k =10

Step(ii):-

The equation of the parallel line to the given straight line is

2 x + 3y + 10 =0

3 y = -2x -10

$y = \frac{-2}{3} x -\frac{10}{3}$

Final answer:-

slope - intercept form y = mx +C

$y = \frac{-2}{3} x -\frac{10}{3}$

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Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 151515 square meters. How many bags of topsoil d

exis [7]

Answer:

2 bags of topsoil.

Step-by-step explanation:

The attached figure shows a flower bed.

One bag of topsoil covers 15 square meters.

We need to find how many bags of topsoil does Tom need to cover his flower bed.

The area of the flower bed is :

$A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2$

Let he has to cover x bags of topsoil. So,

x = Area of flower bed/Area of 1 bag of top soil

x = 30/15

x = 2

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2 years ago

What is the average speed that robin mus drive to reach her friend's house 170 miles away in 2 1/2 hr

Tamiku [17]

68 miles / hour

Average speed = distance / time

distance = 170 and time = 5/2 ( as an improper fraction)

speed = 170 ÷ $\frac{5}{2}$ = 170 × $\frac{2}{5}$ = $\frac{340}{5}$ = 68

4 0

2 years ago

Read 2 more answers

Sheryl spends $ 12 every week on cigarettes and spends $ 23 a month on dry cleaning. On an annual basis, the money spent on c

Lera25 [3.4K]

Answer:

just for the points

Step-by-step explanation:

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2 years ago

5/6 n=10 what is n in this equation

svp [43]

N=12
Since 5/6 and n is being multiplied, you have to divide the 5/6 from both sides. When you divide with a fraction, you have to find it’s reciprocal and multiply with it. So the 5/6 turns into 6/5
5/6 * 6/5 = 30/30 which is one.
10 * 6/5 is 60/5
60/5= 12

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2 years ago

Find the area of the regular polygon. Round your answer to the nearest hundredth

Ierofanga [76]

Answer:

Step-by-step explanation:

Use the Pythagorean theorem to find the length of the missing side that is 1/2 the side of the missing heptagon. You have to assume that the figure is a regular heptagon, something you should point out to your teacher. Math really requires well qualified diagrams.

c^2 = a^2 + b^2

c = 2.77

a = 2.5

b = 1/2 the side of the heptagon.

2.77^2 = 2.5^2 + b^2

7.6729 =6.25 + b^2

7.5629 - 6.25 = b^2

b^2 = 1.4229

b = sqrt(1.4229)

b = 1.1928

But the side is twice that long

s = 2.3857

Now draw another line from the side you just found. It will be the same length as 2.77. It's a radius of the circumcircle.

Area of the triangle so formed is

Area = 1/2 * b * h

b = 2.3857

h = 2.5

Area = 1/2 * 2.5 * 2.3857

Area = 2.982

There are 7 such triangles.

Answer: 7 * 2.982

Answer: 20.87

5 0

2 years ago