Find the Equation of the Parallel Line
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Instructions: Find the equation of the line through point (-1, 4) and parallel to
5x +y = 4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for ).


y =

Answer:

C) Yes, since the slopes are the same and the y-intercepts are different.

Step-by-step explanation:

You need to have both equations in slope-intercept form.

4x - 6y = -6

-6y = -4x - 6

y = 2/3x + 1

The two equations are

y = 2/3x + 1

y = 2/3x - 17

For lines to be parallel, the slopes must be equal.  The y-intercepts don't matter.

Since the lines have the same slopes but different y-intercepts the answer is C.

Answer:

  C. F(x)=1/x

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. It is also called the multiplicative inverse. Hence, the reciprocal function is ...

  F(x)=1/x . . . . . . matches choice C

a) [tex]\frac{8}{2}[/tex]

b) [tex]\frac{9}{4}[/tex]

c) [tex]\frac{3}{-1}[/tex]

Answer:

first option

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Here k = 0.7, thus

y = 0.7x ← is the required equation

Given

[tex]\frac{y}{x}[/tex] = [tex]\frac{7}{10}[/tex] ( cross- multiply )

10y = 7x ( divide both sides by 10 )

y = [tex]\frac{7}{10}[/tex] x = 0.7 x ← the required equation

To drink, kneading the dough, taking a bath, water fields and swimming

In my opinion

Answer:

Step-by-step explanation:

Watering the fields is going to take the most water.

Swimming requires a good deal of water, but the answer depends on where you do the swimming. I will assume it is a pool. But if it is a river or lake, you might look at the order of these first two listed.

Taking a bath takes more water than you might think, and the water has to be purified after using once. I shower does not really cut down on the amount of water used.

Taking a drink requires, usually, 8 oz. That's more than the water needed for kneading bread dough.

To get the answer the way it is asked, read from the bottom up.

Answer:  243 cm²

Step-by-step explanation:  If the diameter is 18, the radius is 9. Each square is  9×9, so 81 cm² for each.   Multiply:  81×3 = 243

Or take the length times width  to get area  27×9= 243

Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

Answer:

m<B = 63.4°

Step-by-step explanation:

tangent = opposite ÷ adjacent

tan B = [tex]\frac{4}{2}[/tex]

tan B = 2

B = tan⁻¹ (2)

B = 63.4°

Hope this helps.

Answer:

Option B.

Step-by-step explanation:

From the given venn diagram it is clear that

[tex]A={1,2}[/tex]

[tex]B={1,2,3,4,5,6}[/tex]

[tex]A\cap B={1,2}[/tex]

Since the intersection of A and B is non-empty, therefore by conditional probability

[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}[/tex]

[tex]P(B|A)\cdot P(A)=P(A\cap B)[/tex]

[tex]P(A\cap B)=P(B|A)\cdot P(A)[/tex]

Therefore, the correct option is B.

Answer:

The Answer is the first option

Step-by-step explanation:

If you take the 3x-4>5

than: 3x>5+4

3x>9

x>9/3

x>3

Answer:

last option

Step-by-step explanation:

Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

Answer:

option D

Step-by-step explanation:

Answer:

12/25

Step-by-step explanation:

There were a total of 48 males, so 48/100 = 12/25.

+---------------+------+--------+-------+

|           | Male | Female | Total |

+---------------+------+--------+-------+

| Prefers Dogs  | 36 | 20 | 56   |

+---------------+------+--------+-------+

| Prefers Cats  | 10   | 26 | 36   |

+---------------+------+--------+-------+

| No Preference | 2 | 6  | 8   |

+---------------+------+--------+-------+

| Total         | 48   | 52     | 100   |

+---------------+------+--------+-------+

Answer:

[tex]x=20[/tex]

[tex]y=10\,\sqrt{3}[/tex]

Step-by-step explanation:

In the triangle we have the following trigonometric equations:

[tex]tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}[/tex]

and also:

[tex]cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20[/tex]

Answer:

3

Step-by-step explanation:

You remove the brackets and round down to the nearest whole number which is three..

Edge 2020

~theLocoCoco

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

no

Step-by-step explanation:

It is an equal lateral triangle, a right triangle has a side that is longer then the others

Answer:

X rounded to the nearest degree can me calculated based on parallel lines or if there is a straight line bisected by a line, 180 degress is a staright line. There is not enough info nor a picture to give a direct answer.

Answer:

its D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Use Pythagorean theorem

X^2 + 44^2 = 55^2

X^2 = 55^2 - 44^2

= 3025 - 1936

X^2 = 1089

X = sqrt (1089)

X = 33

Answer:

s = 116°, q and t are 64°

Step-by-step explanation:

isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64

Answer:

the range is 10

Step-by-step explanation:

70 is the highest and 60 is the lowest

70-60=10

Answer:18

Step-by-step explanation:

There are total of 6 ways to make exactly $0.75 using a nickels, dimes, and quarters.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Since we know that

1 Quarter = 0.25 of Dollar

1 Dime = 0.10 of Dollar

1 Nickel = 0.05 of Dollar

Let's say we make Q number of the quarter, D number or dime, and N number of nickel.

Then equation formed will be

0.25Q + 0.10D + 0.05N = 0.75

From it is clear that the possible outcomes are

Qarteres =1, Dime =1, Nickel =2

Qarteres =1, Dime =2,Nickel = 4

Qarteres =1,Dime =3, Nickel = 6

Qarteres =1,Dime =4, Nickel = 8

Qarteres = 2, Dime =1,Nickel = 1

Qarteres = 2, Dime =2, Nickel = 3

Hence there will be a total of 6 outcomes.

For more about the equation

brainly.com/question/2263981

#SPJ2

Answer:

[tex]H_{o}[/tex]: Larger proportion of news media = democrats

Ha : Large proportion of news media [tex]\neq[/tex] democrats  

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

Answer:

Step-by-step explanation:

7x - 2y = -3

14x + y = 14

7x - 2y = -3

28x + 2y = 28

35x = 25

x = 25/35= 5/7

14(5/7) + y = 14

10 + y = 14

y = 4

(5/7, 4)

Answer:

[tex]\boxed{\sqrt{37} }[/tex]

Step-by-step explanation:

Use Pythagorean theorem.

Create a right triangle, with legs of length 6 and 1 units. Find the length of hypotenuse.

[tex]6^2+1^2 =c^2 \\36+1=c^2 \\37=c^2 \\c=\sqrt{37}[/tex]

Answer:

When you use Pythagorean theorem, the answer is √37.

Step-by-step explanation:

Answer:

14.

Step-by-step explanation:

From the question given, we obtained the following information:

When angle θ = 60°

Adjacent = 7

Hypothenus = s

When angle θ = 30°

Opposite = 7

Hypothenus = s

We can use any of the above to determine the value of 's'.

Here, we shall consider when angle θ is 60°.

Cos θ = Adjacent /Hypothenus

Angle θ = 60°

Adjacent = 7

Hypothenus = s

Cos θ = Adjacent /Hypothenus

Cos 60° = 7/s

But Cos 60° = 1/2

1/2 = 7/s

Cross multiply

s = 2 x 7

s = 14

Therefore, the value of 's' is 14

Answer:

[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]

Step-by-step explanation:

Diameter = 11 inches

Radius = 11/2 = 5.5 inches

[tex]Volume \ of \ a \ sphere = \frac{4}{3} \pi r^3[/tex]

Where r = 5.5

V = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(166.375)[/tex]

V = [tex]\frac{2090.7}{3}[/tex]

V = 696.9 in.³

Answer:

3. time = 6.4999  approximately 6.5 years

4. $2235.35

5.  $ 3950

Step-by-step explanation:

4. amount of interest =  final amount - principle= 7535.35 - 5300 = 2235.35

5. principle = final amount - interest earned = 4435.25 - 485.25 = 3950

Answer:

[tex]5.\overline{55}[/tex] or  [tex]5\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{5}{r} =\frac{9}{10}[/tex]

We multiply the cross values of 5 and 10

5 × 10 = 50

Now we divide by the remaining number, 9

[tex]50 \div 9 = 5.555555...[/tex]

So, r = [tex]5.\overline{55}[/tex]

As a fraction, this is [tex]5\frac{5}{9}[/tex]

Hope this helped!

Answer:

5 5/9 = r

Step-by-step explanation:

5/r = 9/10​

Using cross products

5 * 10 = 9 * r

50 = 9r

Divide by 9

50/9 = r

5 5/9 = r

Answer 18

Solve 5+5+4+4=18

Answer: Choice D.   2x^2+2y^2 = 32

=================================================

Explanation:

The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.

(h,k) = (0,0) is the center

r = 4 is the radius as it is the distance from the center to the edge of the circle

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 4^2

x^2+y^2 = 16 is one way to express the equation of the circle

For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...

x^2+y^2 = 16

2(x^2+y^2) = 2*16

2x^2+2y^2 = 32

This matches up with choice D.

Answer:

D.

Step-by-step explanation:

According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.

x^2 + y^2 = 16

A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.

B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.

C. This choice is obviously incorrect, since it should be + y instead of - y.

D. This choice is correct. All terms are multiplied by 2.

Hope this helps!

Answer:

72 N

Step-by-step explanation:

From the question.

Force is directly proportional to acceleration, with the mass of the object constant.

F α a

F = ka

F₁/a₁ = F₂/a₂....................... Equation 1

Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.

make F₂ the subject of the equation

F₂ = (F₁/a₁)a₂................ Equation 2

Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²

Substitute these values into equation 2

F₂ = (64/8)(9)

F₂ = 72 N