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Blababa [14]
3 years ago
9

Write an equation in point-slope form of the line through point J(4,1) with slope -4.

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
4 0
Point slope form
y - y1 = m(x - x1)

Plug in the given
slope = -4
Point ( 4, 1)

y - 1 = -4(x - 4)
y - 1 = -4x +16
add 1 to both sides
y = -4x + 17

Hope this helps!
ladessa [460]3 years ago
4 0

Answer:

The point-slope form of the line is y - 1 = -4(x - 4)

Step-by-step explanation:

In order to find the equation of the line, you start with the base form of point-slope form.

y - y1 = m(x - x1)

Now, input the slope in for m and the point in for (x1, y1).

y - 1 = -4(x - 4)

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Answer:

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Step-by-step explanation:

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Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 7 cubic feet
olchik [2.2K]
V = (pi)r² h
v = (pi)5² h
v = 25(pi) h
take derivative with respect to h
dv/dh = 25(pi)

(dv/dt)*(dt/dh) = dv/dh

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3 years ago
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet. Syrus isn't sure if the tent will
ivolga24 [154]

Answer:

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Read 2 more answers
Solve by completing the square. Round your answers to the nearest tenth and then locate the greater solution. <img src="https://
Andrews [41]

Step-by-step explanation:

Step 1: Write our Givens

{x}^{2}  + 10x - 7 = 0

Move the constant term ,(the term with no variable) to the right side.

Here we have a negative 7, so we add 7 to both sides

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Next, we take the linear coeffeicent and divide it by 2 then square it.

( \frac{10}{2} ) {}^{2}  = 25

Then we add that to both sides

{x}^{2}  + 10x + 25 = 7 + 25

{ {x}^{2} } + 10x + 25 = 32

Next, we factor the left,

(x + 5)(x + 5) = 32

we got 5 because 5 add to 10 and multiply to 25 as well.

so we get

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This is called a perfect square trinomial.

Next, we take the square root of both sides

x + 5 = ± \sqrt{32}

± menas that we have a positive and negative solution.

Subtract 5 form both side so we get

x =  - 5± \sqrt{32}

The greater solution is when sqr root of 32 is positive so the answer to that is

\sqrt{32}  - 5 = 0.7

3 0
2 years ago
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