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damaskus [11]
3 years ago
10

What is the point slope from of a line that has a slope of -4 and passes through (-3, 1)

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

y-1= -4(x+3)

Step-by-step explanation:

When finding point slope form, this is the format: y-y1=m(x-x1). First, plug in your coordinate to the equation. It should look like this: y-1=m(x+3). However, one thing you should know is if the coordinate is a negative, it becomes a positive in point slope form. Next, plug in the slope to the equation. This is your final answer: y-1= -4(x+3). Hope this helped!

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Help! This is due today and I'm stuck on this problem.
Varvara68 [4.7K]

Answer:

280.6 m^2

Step-by-step explanation:

<u>find the length of each side:</u>

you're only given h = 9 m

the formula for h is  h=\frac{\sqrt{3} }{2} *a, where a is a side length of the hexagon

plug h in:

9=\frac{\sqrt{3}}{2}*a\\\\a=9*\frac{2}{\sqrt{3}}\\\\

a ≈ 10.392 m

<u>now find the area of a triangle:</u>

1/2 (10.392)(9) = 46.764 m^2

multiply that by 6 and you get 280.584 ≈ 280.6 m^2

you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: \frac{3\sqrt{3} }{2} *a^2

7 0
3 years ago
Read 2 more answers
Find the sixth term of the geometric sequence when a4=−8 and r=0.5
grandymaker [24]

Answer:

D

Step-by-step explanation:

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

a₅ = - 8 × 0.5 = - 4

a₆ = - 4 × 0.5 = - 2

4 0
2 years ago
Show that y=cos(t)y=cos(t) is a solution to (dydt)2=1−y2(dydt)2=1−y2. Enter your answers below in terms of the independent varia
GrogVix [38]

Answer:

(\frac{dy}{dt})^2=sin^2t

Step-by-step explanation:

y=cost

DE :(\frac{dy}{dt})^2=1-y^2

If y is a solution of given DE then it satisfied the DE.

Differentiate w.r.t t

\frac{dy}{dt}=-sint

Using the formula

\frac{d(cosx)}{dx}=-sinx

LHS:(\frac{dy}{dt})^2=(-sint)^2=sin^2t

RHS

1-y^2=1-cos^2t=sin^2t

By using the formula

sin^2t=1-cos^2t

LHS=RHs

Hence, y is a solution of given DE

(\frac{dy}{dt})^2=sin^2t

7 0
3 years ago
A cake has 32 slices.
maw [93]

Answer:

0

Step-by-step explanation:

20 + 7 + 4 + 1 = 32 there is none left over

8 0
3 years ago
A researcher finds that 15% of all commuters in a metropolitan area take the train to work. The researcher polls 250 people in t
DanielleElmas [232]

Answer:

Number of trials are 250.

Step-by-step explanation:

A researcher finds 15% of all commuters in a metropolitan area take the train to work.

The researcher polls 250 people in the area to ask them whether they take the train to work or not.

We have tell the number of trials for this binomial experiment.

Researcher will do 250 trials to confirm whether they take the train work and this irrespective of their response.

5 0
3 years ago
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