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aleksley [76]
2 years ago
5

Write 12x + 4y= –36 in slope-intercept form. y= x− .

Mathematics
2 answers:
AnnyKZ [126]2 years ago
5 0

~~~~~12x+4y = -36\\\\\implies 3x +y = -9\\\\\implies y = -3x -9

deff fn [24]2 years ago
4 0

         - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - -- - - - - - -- - - - - - - - --

\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

Write 12x+4y=-36 in slope intercept form.

\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}

Slope intercept form looks like so:-

y=mx+b

Right now the line's equation is written in standard form, ax+by=c.

First, subtract 12x on both sides:-

4y=-36-12x

Now divide by 4 on both sides:-

y=-9-3x

On further simplification,

switch -9 and -3x places (it's not mandatory)

y=-3x-9

That's our equation in slope intercept form.

<h3>Good luck.</h3>

          - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - -- - - -

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The probability that an archer hits a target on a given shot is .7 if five shots are fired find the probability that the archer
VikaD [51]
This is a problem in "binomial probability."  Either the archer hits his target or he does not.  This experiment is performed 5 times (so that n=5), and the probability that the archer will hit the target is 0.7 (so that p=0.7).

We need to find the binomial probability that x=3 when the possible outcomes are {0, 1, 2, 3, 4, 5}.

You could use a table of binomial probabilities to evaluate the following:

P(5, 0.7, 3).

Alternatively, you could use a TI-83 or TI-84 calculator and its built-in "binompdf(  " function.

I evaluated binompdf(5,0.7,3) and obtained the result 0.309.


5 0
3 years ago
Which of the following is the correct formula for distance?(1 point) d=(x2−x1)+(y2−y1)−−−−−−−−−−−−−−−−−√, where d is the distanc
Afina-wow [57]

Answer:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

6 0
3 years ago
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elixir [45]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
Triangle ABC is a non-right triangle with Angle C = 117, a = 12, and b = 18. Find Angle B to the nearest tenth.
qwelly [4]

Using the law of cosines and sines, the measure of angle B is: 38.4°.

<h3>What is the Law of Cosines and Sines?</h3>

Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]

Law of sines is: sin A/a = sin B/b = sin C/c

Use the law of cosines to find c:

c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]

c ≈ 25.8

Use the law of sines to find angle B:

sin B/b = sin C/c

sin B/18 = sin 117/25.8

sin B = (sin 117 × 18)/25.8

sin B = 0.6216

B = sin^(-1)(0.6216)

B = 38.4°

Learn more about the law of cosines on:

brainly.com/question/23720007

#SPJ1

5 0
2 years ago
An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet
drek231 [11]
<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

<h2>Why?</h2>

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h

Where,

r=radius=\frac{diameter}{2}\\h=height

We are given the old can dimensions:

radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm

So, calculating the volume, we have:

Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}

We have that the volume of the old can is:

Volume_{Can}=199.7cm^{2}

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm

Calculating we have:

Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0
3 years ago
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