Writing Equations of Parallel Lines
y
5
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
4
V
3
2
-5 4 3 2 1
2
5
-1
-2
-3
-5
Intro
Done

Writing Equations Of Parallel Linesy5What Is The Equation Of The Line Parallel To The Given Linewith

Answers

Answer 1

Answer:

  y = 4x -16

Step-by-step explanation:

The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).

  m = (y2 -y1)/(x2 -x1)

  m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines

The point-slope equation for the line with slope 4 through point (4, 0) will be ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept

  y = 4x -16 . . . . . . expanded to slope-intercept form


Related Questions

reduce into lowest terms

[tex] \frac{4}{6} [/tex]
[tex] \frac{10}{12} [/tex]
[tex] \frac{18}{24} [/tex]

Answers

Answer:

4/6

We know that, 4 can be written as:

4 = 2 × 2 and 6 = 2 × 3.

In both 2 is common so cancel it out we get, 2/3

Similarly,

10/12

10 = 2 × 5 and 12 = 2 × 2 × 3

2 common and cancel we get, 5/6

18/24

18 = 2 × 3 × 3

24 = 2 × 2 × 2 × 3

6 (2 × 3) is common. So, cancel we get, 3/4

Ello can you solve #14 ty

Answers

Answer:

  (x, y, z) ≈ (30.375, 12.369, 13.915)

Step-by-step explanation:

You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.

  27/24 = x/27

  x = 27²/24 = 30.375 . . . . . . multiply by 27

__

Likewise, the ratio of short side to long side is the same for each:

  y/24 = (30.375 -24)/y

  y² = 24(6.375)

  y = √153 ≈ 12.369

__

And the ratio of short side to hypotenuse is the same:

  z/30.375 = 6.375/z

  z² = 30.375×6.375 = 193.640625

  z = √193.640625 ≈ 13.915

Answer pls in fractions

Answers

Answer:

4/5 yd^3

Step-by-step explanation:

(2/3)(3/1)(2/5) = 12/15 = 4/5

Answer:

4/5 I believe?

Step-by-step explanation:

Multiply all the numbers together :)

solve pls brainliest

Answers

Answer: The answer is -15/7

Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.

HOPE THIS HELPED!

Answer:

-1 1/7 :)

Step-by-step explanation:

[tex]-\frac{5}{7}[/tex] x 3

[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]

[tex]-\frac{15}{7}[/tex]

Now lest simplify it!!

-1 [tex]\frac{1}{7}[/tex]

Hope this helps!!

Have a great day!!

Please rate and mark brainliest!!

Find the area of a rectangle with a length of 11.2 inches and a height of 9.4 inches

show your work

Please help

Answers

11.2 x 9.4 = 105.28
Answer: 105.28 inches

Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 60% of the recent graduates annual salary exceeds $40000. Suppose you take a simple random sample of 51 recent graduates. Note: round all z scores to decimal places and all other numbers to 4 decimal places. Find the probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that:

60% of the recent graduates annual salary exceeds $40000, hence p = 0.6.A sample of 51 is taken, hence n = 51.

The mean and the standard error are given by:

[tex]\mu = p = 0.6[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.6(0.4)}{51}} = 0.0686[/tex]

The probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000 is the p-value of Z when X = 0.7, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.7 - 0.6}{0.0686}[/tex]

[tex]Z = 1.46[/tex]

[tex]Z = 1.46[/tex] has a p-value of 0.9279.

0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Vat=13% Discount=20% Sp with vat=20340 Mp=? Vat amount=?

Answers

Answer:

Vat amount = Rs 2340

Mp = Rs 22500

Algebra Complete the table.Write the
expression that can be used to find the
missing value in the second row.

Answers

Step-by-step explanation:

In the second column, we can see that every value of n is being added by 6.

Thus, the expression is n + 6.

Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.

When n is 12:

n + 6 = 1812 + 6 = 1818 = 18

When n is 15:

n + 6 = 2115 + 6 = 2121 = 21

When n is 21:

n + 6 = 2721 + 6 = 2727 = 27

Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.

Finding n + 6 when n is 28:

n + 6 = x28 + 6 = x34 = x

Thus, the missing value in the table is 34.

How many apples could you buy if you went to the store with five dollars? *

Answers

Answer:

depends on how much the apples cost

It really much depends on the type of apple and it’s price

Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 pounds of Lily’s tea? a. $108. 70 b. $144. 93 c. $536. 77 d. $715. 69.

Answers

Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.

What is Units conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,

Pounds to Ounces

[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]

Grams to Ounces

[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]

Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,

[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]

Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.

Learn more about Units conversion:

https://brainly.com/question/4736731

what numbers are missing from the pattern 1,14,21,28,?,?,?,?,28,21,14,7 ?

Answers

Answer:

ANSWER

1,14,21,28,35,42,42,35,28,21,14,7

Write the perimeter of the triangle as a simplified expression.

Answers

[tex]2x - 5 + 5 - x + 3x - 2 \\ 5x - x - 2 \\ 4x - 2[/tex]

A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.

​What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?

Answers

The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³

Volume of a sphere

The globe is a sphere. Therefore, the volume is as follows:

volume = 4 / 3 πr³

where

r = 12  /2 = 6 inches

volume = 4 / 3 × π × 6³

volume = 864 / 3 π

volume = 288 × 3.14  = 904.32inches³

Volume of a cube

The box is a cube. Therefore,

volume = L³

where

L = length

Therefore,

volume = 12³

volume = 1728 inches³

Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:

volume not taken up = 1728 - 904.32 = 823.68 inches³

learn more on volume here: https://brainly.com/question/15385003

10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?

Answers

40 min = 40/60 hr = 2/3 hr

Distance = x km

t=distance/speed

x/200+x/120=2/3

multiply by 6oo

3x+5x=400

8x=400

x = 400/8=50km

The journey is for 50km


pls giive brainliest\

How many apples could you buy if you went to the store with five dollars?

Answers

Answer:5 apples

Step-by-step explanation:5x1=5

The owners of cami's carnival kept track of how many visitors they had each day last summer. this box plot shows the results. carnival visitors 50 70 90 110 130 150 what fraction of the days did the carnival have 70 or fewer visitors?

Answers

Answer: 1/3

Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile

Find the first three terms the described arithmetic series:

n=8

an= 36

a1=-6

Sn=120

Answers

Answer should be 1,3,5

Math homework, thanks

Answers

Answer:

X=79

Step-by-step explanation:

180-135=45

45+56=101

180-101=79

I just need help with Part C

Answers

the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.

well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].

5. The points used to model a parabola are (-3,0), (6,0) and (4,-5). Write an equation for this parabola.
Which form is most helpful and why?

Answers

Vertex form would the most effective which is y=a(x-h)^2+k; (h,k) being the vertex. Which then give you y=a(x-4)+(-5)

Is 3√2 a rational number?

Answers

Answer:

No

Step-by-step explanation:

Because sqrt 2 is not an integer

Answer:

3root2 is not a rational number

please help
what is the equation for the following graph

A=1

Answers

Answer:

[tex]f(x)=\sqrt{x+5}-3[/tex]

Step-by-step explanation:

Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]

Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]

[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin

Therefore, this graph has been translated 5 units to the left and 3 units down.

Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]

[tex]\implies f(x)=\sqrt{x+5}-3[/tex]

Let n be a positive integer. z^n is the set of all lists of length n whose
entries are in z. prove that z^n is countable. (hint: find a bijection
between z^(n−1) × zand z^n and then use induction.)

Answers

Positive integer is the best because it just is

Here is the picture of the problem- Only 6th grade math

Answers

Answer:

h= 7/6 mm

Step-by-step explanation:

hello :

the area is :  A= (b+B)×h/2

calculate h the height  : 2A = (b+B)×h

so:  h = 2A/(b+B)

you have : A=21/5   and  b= 3    and B= 21/5

h= 2(21/5)/(3+21/5)

h= (42/5) /(36/5)

h= 42/36

h= 7/6 mm

A plumber charges $25 to come to a home, and $15 per hour for a repair. Which equation gives the total cost, y, for a repair that lasts x hours?

Answers

Answer:

15x + 25 = y

Step-by-step explanation:

$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y

3(1.07)^18 can you please help??​

Answers

the answer should be 10.13979682

Find the smallest number by which 6615 is to be multiplied by to get a perfect square

Answers

Answer:

3x 5

Step-by-step explanation:

In a survey of 250 voters, 3 out of 5 voters said they planned to vote for a proposed
new county library.
a) how many of these voters plan to vote for the library?
N
b) how many are not planning to vote for the library?

Answers

3/5 of 250 is 150, so 150 voters are planning to vote for the library and 100 are not.

A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many chairs are left? chairs

Answers

6 x 24 = 144
144 - 7 = 137
There is 137 chairs left in the theater. Hope this helps!

Answer:

137 chairs

Step-by-step explanation:

6*24=144.

144-7=137.

please mark as brainliest.

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 7 feet long, and the height of the equilateral triangle is 6.1 feet. The pyramid's slant height is 9 feet. What is its surface area?

Answers

Answer:

115.85

Step-by-step explanation:

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