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TEA [102]
3 years ago
10

Write the equation of the line that has a slope of 2 and passes through the point (-3,4).

Mathematics
2 answers:
IRINA_888 [86]3 years ago
6 0

Answer:

y=2x+10

Step-by-step explanation:

dalvyx [7]3 years ago
3 0

Answer:

The answer to your question is letter D

Step-by-step explanation:

Data

slope = m = 2

Point (-3, 4)

Process

1.- Substitute the data in the line equation

                     y - y1 = m(x - x1)

                     y - 4 = 2 (x + 3)

2.- Expand

                     y - 4 = 2x + 6

3.- Solve for y and simplify

                     y = 2x + 6 + 4

                     y = 2x + 10

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15/4 - 7x = 9<br> pls answer step by step fast
Ad libitum [116K]

Answer:

x = - \frac{3}{4}

Step-by-step explanation:

Multiply through by 4 to clear the fraction

15 - 28x = 36 ( subtract 15 from both sides )

- 28x = 21 ( divide both sides by - 28 )

x = \frac{21}{-28} = - \frac{3}{4}

3 0
3 years ago
Read 2 more answers
The average radius of Jupiter is 4.34 x 10^4 miles. The average sun radius of the sun is 4.32 x 10^5. How many times greater is
Oksanka [162]

Answer:

The average radius of sun is approximately 9.95 times the average radius of Jupiter.                                

Step-by-step explanation:

We are given the following in the question:

Average radius of Jupiter =

4.34\times 10^{4}\text{ miles}

Average radius of the sun =

4.32\times 10^{5}

Relation between average radius of sun and average radius of Jupiter =

\displaystyle\frac{\text{Average radius of Sun}}{\text{Average radius of Jupiter}}\\\\= \frac{4.32\times 10^{5}}{4.34\times 10^{4}}\\\\\displaystyle\frac{\text{Average radius of Sun}}{\text{Average radius of Jupiter}} = 9.953917\\\\\text{Average radius of Sun} \approx 9.95\times \text{(Average radius of Jupiter)}

Thus, the average radius of sun is approximately 9.95 times the average radius of Jupiter.

7 0
3 years ago
Given a sphere with radius r, the formula 4pi r^2 gives
Shkiper50 [21]

Answer:

Step-by-step explanation:

That's B:  the surface area.

The volume of the sphere is V = (4/3)πr³; A = 4πr² happens to be the derivative of V with respect to r.

8 0
3 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
Write a rule for the linear function in the table.
JulijaS [17]

Answer:

I guess that you want to know the transformations:

We start with:

f(x) = y = 4*x + 3

a)the transformed function is:

f(x) = y = -4*x - 3

So the sign changed.

This means that we go from (x, y) to (x, - y)

This is a reflection over the x-axis which changes the sin of the y component.

b) Now we go to f(x) = 4*x + 3

So the coefficient in the leading term changed.

This is a horizontal contraction:

A horizontal contraction of factor K for the function g(x) is: g(K*x)

In our case, we have:

f(K*x) = 4*(k*x) + 3 = x + 3

4*k*x = x

4*k = 1

k = 1/4

Then the transformation is an horizontal contraction of scale factor 1/4.

6 0
3 years ago
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