What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoints Y(2, 2) and Z(5, 6)?

x equals six start fraction one over two end fraction

x = 6 x

equals three start fraction one over two end fraction

x = 7

Answers

Answer 1

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}[/tex]

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}[/tex]


Related Questions

24n+32 factor completely ​

Answers

Answer:

Step-by-step explanation:

24n+32=0

24n= -32

24n=-32 all over 8

3n= -4

n= -4/3

What is the surface area of this cylinder (round to the nearest tenth) 6.4 m2 25.1 m2 37.7 m2 62.8 m2

Answers

Answer: 62.8m^2

Step-by-step explanation:

Surface area of a cylinder = [tex]2\pi r^{2} + 2\pi rh[/tex]

r = 2m, h = 3m

[tex]2\pi (2)^{2} + 2\pi (2)(3)[/tex]

= 62.83185

Answer:

62.8m^2

Step-by-step explanation: 2\pi r^{2} + 2\pi rh

r = 2m, h = 3m

2\pi (2)^{2} + 2\pi (2)(3)

= 62.83185

Chloe is planning her wedding and trying to decide on where to purchase her floral arrangements. At Petals Plus, the arrangements cost $33.04 each, and the store charges $63.00 for delivery of the flowers to the wedding site. At Blooms, the arrangements cost $25.07 each, and the store charges $112.00 for delivery of the flowers to the wedding site.

How many arrangements should she purchase from Blooms in order to get a better value?

A.
6
B.
7
C.
5
D.
1

Answers

The answer for this would be C
Final answer:

Chloe should purchase at least 6 arrangements from Blooms to get a better value compared to Petals Plus, as this is the smallest whole number of arrangements where the total cost at Blooms becomes less than that at Petals Plus.

Explanation:

To determine how many arrangements Chloe should purchase from Blooms to get a better value, we need to compare the total cost of floral arrangements from both stores for varying quantities. We'll calculate the breaking point where the total cost from Blooms becomes less than that from Petals Plus.

Let the number of arrangements Chloe is considering purchasing be denoted by n. The total cost at Petals Plus for n arrangements would be:

Total cost at Petals Plus = $33.04n + $63.00

Similarly, the total cost at Blooms for n arrangements would be:

Total cost at Blooms = $25.07n + $112.00

Chloe gets a better value from Blooms when the total cost at Blooms is less than at Petals Plus:

$25.07n + $112.00 < $33.04n + $63.00

To find the value of n, we'll solve the inequality:

$8.97n > $49.00

n > $49.00/$8.97

n > 5.46

Since Chloe can't purchase a fraction of an arrangement, the smallest whole number of arrangements she should purchase from Blooms to get the better value is 6. Therefore, the answer is option A: 6.

A rectangular prism has a length of 9 centimeters, a height of 15 centimeters, and a width of 20 centimeters. What is its volume, in cubic centimeters?

Answers

your answer is 2,700 cubic centimeters

Answer:

2340

Step-by-step explanation:

Describe Henry's location relative to the library.

Answers

Answer:

Part 1)

Henry's location is at the ordered pair [tex](-3,4)[/tex]

Libray's location is at the ordered pair [tex](2,-3)[/tex]

Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Step-by-step explanation:

Part 1) Write the ordered pairs that represent Henry and the Library

we have that

Henry's location is at the ordered pair [tex](-3,4)[/tex]

Libray's location is at the ordered pair [tex](2,-3)[/tex]

Part 2) Describe Henry's location relative to the library

Observing the graph  

Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Which equation could represent p? Please please help

Answers

The equation could represent p is  P(x) = (x+3)(x-2)^2

The brackets indicate where the curve will intersect the x-axis.

The curve intersects the graph at (0,-3) and (0,2).

That is to say:

x = -3

AND

x = 2

Rearrange the equations so that they equal 0.

x + 3 = 0

x - 2 = 0

The values in the brackets will be used.

We know that x - 2 is a repeating root because the curve only touches it and does not cross it, hence (x-2) is squared.

As a result, your brackets are as follows: (x+3)(x-2)(x-2)

Which of the following can be simplified:

(x+3)(x-2)^2

Where 2 denotes squared.

10points for those who help me ehek chapter; circles​

Answers

How many sides does the polygon have?

I believe this is a octogan.... which has 8 sides.... I'm not a 100% sure though... I hope I helped!

Answer:

The answer is 8

Step-by-step explanation:

because it's an octagon

Solve the division problem. 9/10 divided by (-3/5) write as a mixed number

Answers

Answer: -1 1/2

Step-by-step explanation:

Answer:

[tex]-(1\frac{1}{2})[/tex]

Step-by-step explanation:

Dividend = [tex]\frac{9}{10}[/tex]

Divisor = [tex]\frac{-3}{5}[/tex]

Now divide [tex]\frac{9}{10}[/tex] by  [tex]\frac{-3}{5}[/tex]

So,  [tex]=\frac{\frac{9}{10}}{\frac{-3}{5}}[/tex]

[tex]=\frac{9}{10} \times \frac{5}{-3}[/tex]

[tex]=\frac{45}{-30}[/tex]

[tex]=\frac{3}{-2}[/tex]

[tex]=\frac{-3}{2}[/tex]

[tex]=-(1\frac{1}{2})[/tex]

So, [tex]\frac{9}{10} \div \frac{-3}{5} = \frac{-3}{2}=-(1\frac{1}{2})[/tex]

At the same rate, about how many days will you expect it to rain in 180 days?

Answers

Answer:

144 out of 180 days.

Step-by-step explanation:

180/30 is 6. That means that 30 * 6 = 180. So, 24 * 6 = 144, which is our answer.

What’s the roots of x2-6x-16=0 but found by factoring?

Answers

-2 and 8 are the roots of that problem found by factoring.

there are 4 new students. they are holding a pep rally to introduce them. how many different ways can they be introduced

Answers

Answer:

They can be introduced 24 different ways

Step-by-step explanation:

To find this, use the factorial function (!)

4! = 4 * 3 * 2 * 1 = 24

Answer:

They're name and age.

Step-by-step explanation:

Step 1: The student would say his/her name.

Step 2: The student would say his/her age.

Step 3: The student would say his/her birthday.

simplify 7 square root of 3-4 square root of 6 plus square root of 48 minus square root of 54

Answers

Answer:

B) 11√3 - 7√6

Step-by-step explanation:

√48 can be simplified to 4√3, and √54 can be simplified to 3√6.

The equation is now 7√3 - 4√6 + 4√3 - 3√6.

This can be grouped into (7√3 + 4√3) + (-4√6 -3√6).

We get 11√3 - 7√6.

Louis makes $4638.34 a month. If $345.12 is taken out in taxes, what percentage has been removed?

Answers

Step-by-step explanation:

Let's set up a proportion.

345.12/4638.34=x/100.

A percent is always out of one hundred and is the part out of a whole, so  to solve for it we must set x equal to the part (345.12) out of the whole (4638.34).

Now if we solve for x it will equal 7.440593, which is kind of a big number. We can round it to the nearest hundredth, 7.44%, or just round it to the nearest percentage 7%.

Final answer:

To calculate the percentage of Louis's income that is taxed, we divide the amount of tax by the total income and multiply by 100. This tells us that Louis pays roughly 7.44% of his monthly income in taxes.

Explanation:

To find out the percentage of income that Louis paid in taxes, we first need to divide the total amount of taxes ($345.12) by Louis's total monthly income ($4638.34) and then multiply by 100 to get the percentage. The calculation would look like this: ($345.12 / $4638.34) * 100. If you compute this, you will find that Louis pays about 7.44% of his monthly income in taxes.

So, the percentage that has been removed from Louis's income for taxes is 7.44%.

Learn more about percentage calculation here:

https://brainly.com/question/32197511

#SPJ3

Need help with #1 “how is the equation y= 2x similar to the equation y= 2x + 3?how is it different?”

Answers

Answer:

The 2nd one would be different from the first because you are adding 3.

Step-by-step explanation:

What are rational exponents, and how are they related to integer exponents?

Answers

Answer:

See below  

Step-by-step explanation:

Integer exponents are a subset of rational exponents

Integer exponents

An integer exponent is an exponent that is an integer. For example, in the expression y = 5³, the 3 is an integer exponent.

An integer exponent is a power. Thus, 5³ = 5× 5× 5.

Rational exponents

Rational exponents can be expressed as a ratio of integers with nonzero denominators.

Thus, in the expression [tex]y = 5^{\frac{ 2}{3 }}[/tex], the fraction ⅔ is a rational exponent.

A rational exponent is both a power and an nth root. The numerator is the power, and the denominator is the root. Thus,

[tex]5^{\frac{ 2}{ 3}} = \sqrt[3]{5^{2}} = (\sqrt[3]{5}})^{2}[/tex]

Hi, I need help with #23 ASAP! (shown in picture)

Answers

Answer:

12 sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interior angles is 150 degree

Exterior angles is 360 degree

Which set of measurements identify the length, width, and diagonal of a rectangle?

5 ft, 7 ft, 8 ft
6 in., 7 in., 12 in.
8 cm, 9 cm, 10 cm
9 m, 12 m, 15 m

Answers

Answer:

9 12 15

Step-by-step explanation:

9²+12²=15²

81+144=225

First to answer will be the brainliest I need the answer ASAP

Answers

90-64= 26 degrees .....

When you purchase an item with a credit card, you might not ever have to pay for it.

Answers

Answer:

What is this question?

Step-by-step explanation:

I'm not sure what you are asking.

That is a false statement.

Sonia noticed that during the summer an apple tree in their garden grew from 180 cm to 207 cm. What was the percent increase in height of the tree?

Answers

Answer:   15%

Step-by-step explanation:

[tex]\%\ change=\dfrac{New-Original}{Original}\times 100\\\\\\.\qquad \qquad=\dfrac{207-180}{180}\times 100\\\\\\.\qquad \qquad =\dfrac{27}{180}\times 100\\\\\\.\qquad \qquad =0.15\times 100\\\\\\.\qquad \qquad =\boxed{15\%}[/tex]

The answer would be 15%.

207-180=27

27/180=3/20

3/20x5 = 15/100

15/100=15%

Hallar el menor de tres números consecutivos, si la suma de la mitad del número menor más la tercera parte del número mayor excede en cinco al número de en medio

Answers

Answer:

The lowest of three consecutive numbers is [tex]-32[/tex]

Step-by-step explanation:

The question in English

Find the lowest of three consecutive numbers, if the sum of one-half of the lowest number plus one-third of the highest number exceeds the middle number by five.

Let

x-----> the lowest consecutive number

x+1-----> the middle consecutive number

x+2-----> the highest consecutive number

[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5[/tex]

solve for x

[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5\\ \\ \frac{3x+2x+4}{6}=x+6\\ \\5x+4=6x+36\\ \\6x-5x=4-36\\ \\x=-32[/tex]

Help with 21 would be much appreciated.

Answers

Answer:

[tex]\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}[/tex]

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]

We have

[tex]AD=14-8=6\\CD=y\\DB=8[/tex]

Substitute:

[tex]\dfrac{6}{y}=\dfrac{y}{8}[/tex]         cross multiply

[tex]y^2=(6)(8)[/tex]

[tex]y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}[/tex]

For x use the Pythagorean theorem:

[tex]x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}[/tex]

Is the answer is b ? Help

Answers

Answer:

No, it is D.

Step-by-step explanation:

It can not be A or C, because length can not be negative

Because the y is the same, you only have to count the distance of the x-axises.

4 - (-3) is 7 units, which is D.

which model best fits this set of data?
(-3,1),(0,3),(3,5)
HINT: graph the data to determine the best fit

a. cubic model
b. linear model
c. quartic model
d. quadratic model ​

Answers

the answer is quadratic model :)

The answer is D) Quadratic :)

HELP!!!


Pavel said that he could graph -5 by counting 5 units to the left of 5. Is he correct? Explain

Answers

No, because if he started at five and then counted backwards he would just end up at zero.

No, Pavel is not correct. Counting 5 units to the left is the same as saying 5 - 5, which equals zero. Pavel would need to count 10 units to the left of 5 in order to get -5.

Factor the following
X^2+3x+2
x^2+15x+50

Answers

Answer:

1) [tex](x+1)(x+2)[/tex]

2) [tex](x+5)(x+10)[/tex]

Step-by-step explanation:

You can factorize the quadratics equations by applying the proccedure shown below:

1) [tex]x^2+3x+2[/tex]

Find two number whose sum is 3 and whose product is 2.

These would be 1 and 2.

Rewrite it as folowing:

[tex](x+1)(x+2)[/tex]

 2) [tex]x^2+15x+50[/tex]

Find two number whose sum is 15 and whose product is 50.

These would be 5 and 10.

Therefore, you can rewrite it as folowing:

[tex](x+5)(x+10)[/tex]

The 1st one is (x+2)(x+1)

The 2nd one is (x+5)(x+10)

(x+2)(x+6)=0
In the problem shown, to conclude that x+2=0 or x+6=0, one must use the: A. multiplication property
B. division property
C. zero product property
D. transitive property

Answers

Answer:

the zero product property because you can set them to 0

Answer:  The correct option is

(C) Zero product property.

Step-by-step explanation:  The given problem is

[tex](x+2)(x+6)=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To conclude that x+2=0 or x+6=0, one must use which of the given properties.

We know that

for any two expressions E and F, we have

[tex]EF=0~~~\Rightarrow E=0~\textup{or}~F=0.[/tex]

This property is known as Zero product property.

Therefore, to conclude x+2=0 or x+6=0 from the given problem (i), we must use the Zero product property.

Thus, (C) is the correct option.

SOMEONE plezzz help
(b–2)(b+2)(b^2+4)

Answers

(b-2)(b-2)(b^2+4)

= (b^2-4b+4)(b^2+4)
= b^4-4b^3+8b^2-16b+16

The equation of the horizontal line goes through the point (-1,8)is

Answers

Answer:

y = 8

Step-by-step explanation:

Parallel lines are lines which do not intersect. If the line is parallel to the x-axis then it is a horizontal line that intercepts the y-axis at the y-coordinate of the point (-1,8). So the equation of the line is y = b where b is the y-coordinate or y-intercept. Here it is y = 8.

5 times the sum of 40 and 80. what is the numerical expression that would represent the phrase?

Answers

Answer:

The expression is 5(40+80)

Step-by-step explanation:

The sum of 40 and 80 can be written as

(40+80)

and when we take the 5 times of the sum

we can write as

5(40+80)

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