Which of the following equations represents a line that is paraellel to Y=5x-4 and passes through the point (3, 4)?
A. Y=5x-7
B. Y=5x+19
C. Y=-1/5x-4
D. Y=5x-11

Answers

Answer 1

choice D is the correct solution

PARALLEL slopes always have the same slope no matter what because they are parallel

Which Of The Following Equations Represents A Line That Is Paraellel To Y=5x-4 And Passes Through The
Answer 2
Final answer:

The equation of the line that is parallel to y = 5x-4 and passes through the point (3, 4) is y = 5x - 11 because it has the same slope, 5, as the given line depicting parallelism and it passes through the specified point.

Explanation:

In Mathematics, two lines are parallel if their slopes are equal. In this case, the given line is y = 5x - 4, and its slope is 5. To find an equation of a line that is parallel to this line and passes through a specific point, we use the point-slope form of a line, which is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the point through which the line passes.

Replace m with 5 (the slope of the given line), and (x1, y1) with (3, 4) (the point through which the line passes), and we have y - 4 = 5(x - 3). Distributing and simplifying, we get y = 5x - 15 + 4 = 5x -11. Therefore, the equation of the line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.

Learn more about Parallel Lines here:

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Related Questions

What is the greatest common factor (GCF) of 32 and 48?

Answers

the answer is 16 :)))))

Answer: Choice B.

Step-by-step explanation: The correct answer is choice B - 16. 16 is the largest number that can evenly be divided into both 32 and 48.

A right triangle has legs of length 10 feet and 13 feet. What is the area of the triangle?
A) 65 ft^2

B)100 ft^2

C) 130 ft^2

D) 150 ft^2

Answers

Answer:

Option A. [tex]65\ ft^{2}[/tex]

Step-by-step explanation:

we know that

In a right triangle the legs are perpendicular

so

the area is equal to multiply the two legs and  divide by two

[tex]A=\frac{1}{2}(10)(13)=65\ ft^{2}[/tex]

Final answer:

To find the area of a right triangle with legs of length 10 feet and 13 feet, you multiply the lengths and divide by 2. The calculated area is 65 square feet, making option A the correct answer.

Explanation:

The question is asking about the area of a right triangle. To find the area of any triangle, you use the formula A = (base × height) / 2. Since a right triangle has two legs that are perpendicular to each other, these legs can be considered as the base and the height of the triangle. In our case, we have legs of lengths 10 feet and 13 feet, so applying the formula:

A = (10 ft × 13 ft) / 2
= (130 ft²)/2
= 65 ft²

So, the area of the right triangle is 65 square feet, which corresponds to option A.

The cheetah traveled 1.75 times faster for the first 8 minutes than it did for the second 8 minutes. Was the distance traveled during the first 8 minutes 1.75 times greater than the distance traveled during the second 8 minutes? Show the calculation to justify your answer.

Answers

Answer:

yes, distance travel in first 8 minute is 1.75 time higher than second 8 minutes

Step-by-step explanation:

Given data:

speed in first 8 minute is 1.75 faster than 2nd 8 minutes.

from the above information we can say that time remain same in both situation and we know that speed is given as

speed = distance / time

since time remain same in both case. Therefore speed is directly proportional distance having time as constant

As speed is 1.75 times higher in first 8 minutes than second 8 minutes therefore distance also behave in the same way i.e distance travel in first 8 minute is 1.75 time higher than second 8 minutes

Assume the large circle is decreased in size, but it is still larger than the middle circle. Which is true? Answers in the pic

Answers

Answer:

haha I just answered a question kind of like this one. The answer would be 4.

Step-by-step explanation:

Although the 2 point circle is still the largest, the rim is skinnier now and the rim of the 4 point is now the biggest area avalible for the dart to be thrown at

Answer:

The answer is (a) The probability of scoring 0 is more likely.

Step-by-step explanation:

A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar​, is found to be 109​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 96​% confidence interval about mu if the sample​ size, n, is 29. ​(b) Construct a 96​% confidence interval about mu if the sample​ size, n, is 25. ​(c) Construct a 90​% confidence interval about mu if the sample​ size, n, is 29. ​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed? LOADING... Click the icon to view the table of areas under the​ t-distribution.

Answers

Answer:

a:  105.2 < µ < 112.8

b:  104.872 < µ < 113.128

c:  105.841 < µ < 112.159

d:  No, because n < 30

Step-by-step explanation:

For a - c, see attached photos for work.  There are 2 formulas to use.  The steps for constructing any confidence interval are the same, you will just use different numbers in the formula depending on what data is given to you.  

d:  With large sample sizes, the data often resembles normally distributed data, so we can still construct confidence intervals from the data.

Answer:

b

Step-by-step explanation:

7 is what percent of 20?
Solve this question without using any algebra (variables) and solely by using numbers

Answers

35%



7/20

Multiply both sides by 5.

35/100

35%

Whats the original price of a pair of shoes in the sale price is $27 after a 25% discount

Answers

the original price would have been $36

Final answer:

The original price of a pair of shoes on sale for $27 after a 25% discount is calculated by dividing the sale price by 0.75, which gives us $36 as the original price.

Explanation:

To find the original price of a pair of shoes if the sale price is $27 after a 25% discount, we need to reverse the discount process. A 25% discount means that the sale price is 75% of the original price, since 100% - 25% = 75%. We can represent the original price with the variable 'P', and the equation we use is 0.75P = $27.

To find P, we divide both sides of the equation by 0.75:

P = $27 / 0.75

P = $36

Therefore, the original price of the pair of shoes was $36.




Segments WK, XL, and YJ are medians of triangle WXY.



What is the length of segment WK?



A. 1


B. 6


C. 9


D. 18

Answers

The length of segment WK is 9, I hope help it to you

Richard practice each of 3 piano solos for 5/12 hours how long did he practice in all?

Answers

Answer: 1 hour and 15 minutes

Step-by-step explanation: When you multiply the 3 piano solos each for 5/12 of an hour you get 15/12 or 1 and 1/4. Then since 1/4 of an hour is 15 minutes, you will know that the answer is 1 hour and 15 minutes.

What additional information is needed to prove triangle LMN is congruent to triangle KMN using the HL theorem?

Answers

Answer:

∠LMN is a right angle

Step-by-step explanation:

If we want to prove that two right triangles are congruent by knowing that the corresponding hypotenuses and one leg are congruent, we begin as follows:

Since two legs are congruent and we know this by the hash marks, then the triangle ΔLKN is isosceles.By definition LN ≅ NKIf ∠LMN is a right angle, then MN is the altitude of triangle ΔLKNAlso MN is the bisector of LK, so KM ≅ MLSo we have two right triangles ΔLMN and ΔKM having the same lengths of corresponding sides In conclusion, ΔLMN ≅ ΔKMN
Answer

leg MN of both triangle is equal.

Step-by-step explanation

HL stands for "Hypotenuse, Leg" (the longest side of a right-angled triangle is called the "hypotenuse", the other two sides are called 'legs', or 'base' and 'height'.

It means we have two right-angled triangles with

the same length of hypotenuse the same length for one of the other two legs

Since ∠ LMN and ∠KMN are right angle , the hypotenuse LN and and one leg LN of one right-angled triangle LMN are equal to the corresponding hypotenuse KN and leg MN of another right-angled triangle MKN, hence the two triangles are congruent.

please answer this TY

Answers

Answer:

  the limit is 1/16

Step-by-step explanation:

At x=4, the function is indeterminate: 0/0, so l'Hopital's rule can be used to find the limit. Differentiating numerator and denominator, you get ...

  lim = (1/√x) / (2x)

Evaluating this at x=4 gives (1/2)/8 = 1/16.

The limit as x approaches 4 is 1/16.

Find the surface area of a cylinder that has a raius of 13.5 cm., and a height of 90 cm. Show all work without using a calculator.

Answers

[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=13.5\\ h=90 \end{cases}\implies SA=2\pi (13.5)(90+13.5) \\\\\\ SA=27\pi (103.5)\implies SA=2794.5\pi \implies SA\approx 8779.18[/tex]

well, the last part will be with a calculator, but you can simply use the area in π terms.

2 fields of a state park are 1,200 meters from each other. On a map the 2 fields are 8 cm apart what scale is the map using

Answers

Answer: 150

Step-by-step explanation: a scale of 150 because 150 times 8 is 1,200.

Answer:

150

Step-by-step explanation:

A circle has an area of 100 π square inches. What is the circumference of the circle?
A. 10 π inches
B. 20 π inches
C. 2.5 π inches
D. 5 π inches

Answers

I think it’s Cnincouod be wrong

Can someone help me please. I can't figure out how to solve this problem.

Answers

Answer:

It's A . 13 / (5√10)

Step-by-step explanation:

AD =   √(3^2 + 4^2) = √25

= 5 ( By the Pythagoras Theorem).

So sin 2α = 3/5 and cos 2α = 4/5.

m < B = α ( external angle of a triangle theorem)

and BD = AD = 5 (Isosceles triangle) and  BC = 4+5 = 9.

AB =  √(3^2 + 9^2) = √90 = 3√10

So sin α = 3 / 3√10 =  = 1 /√10  and cos α = 9 /3√10  = 3/√10.

Finally sin 3α = sin (2α + α) = sin 2α cos α + cos 2α sin α

=  3/5 * 3 / √10 +  4/5 *  1/√10

=  13/(5√10).

(a) What is a sequence? A sequence is the sum of an unordered list of numbers. A sequence is the product of an ordered list of numbers. A sequence is an unordered list of numbers. A sequence is an ordered list of numbers. A sequence is the sum of an ordered list of numbers. (b) What does it mean to say that lim n → ∞ an = 8? The terms an approach -infinity as 8 approaches n. The terms an approach infinity as n become large. The terms an approach 8 as n becomes small. The terms an approach 8 as n becomes large. The terms an approach infinity as 8 approaches n. (c) What does it mean to say that lim n → ∞ an = ∞? The terms an become large as n becomes large. The terms an become small as n becomes large. The terms an become small as n becomes small. The terms an approach zero as n becomes large. The terms an become large as n becomes small.

Answers

Answer:

A) A sequence is an ordered list of numbers; B) The terms an approach 8 as n becomes large; C) The terms an become large as n becomes large.

Step-by-step explanation:

A) A sequence is an ordered list of numbers, letters, colors, or other objects.  It is essentially a pattern.

B) [tex]n \to \infty (a_n) = 8[/tex] shows n approaching infinity.  This means n, the term numbers of [tex]a_n[/tex], get large.  The fact that it equals 8 means that the terms of the sequence approach 8 as n gets large.

C) [tex]n \to \infty (a_n) = \infty[/tex] shows n approaching infinity.  This means n, the term numbers of [tex]a_n[/tex], get large.  The fact that it equals infinity means that the terms of the sequence become large as n becomes large.

The following figure has rotational symmetry.



True
False

Answers

False if u rotate it, it will not be semetrical to itself

Answer:

The correct answer is false.

Step-by-step explanation:

Rosa is painting two murals.The small mural has an.Area of 2.5 square meters.The Large mural has an area 1.5 times greater than the area of the small mural.What is the are of the large mural

Answers

3.75 square meters

2.5x1.5=3.75

Answer:

6.25 m²

Step-by-step explanation:

The area of the small mural is 1.5 times greater than that of the small mural.

That means the area of the large mural is 2.5 times the area of the small mural.

Area = 2.5 × 2.5 m² = 6.25 m²

The area of the large mural is 6.25 m².

Determine the nature of the roots:

Answers

Answer:

A.  2 distinct roots.

Step-by-step explanation:

2x^2 + 8x + 3 = 0

Finding the discriminant:

b^2 - 4ac = 8^2 - 4 * 2 * 3

=  64 - 24

= 40

The discriminant is positive but not a perfect square

So there are 2 distinct ,real, irrational roots.

explain this if you can i struggle with Discrete and Continuous Data

Answers

Answer:

option A

{1, 2, 4, 7, 9}

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable. Mostly it is 'x' values.

In the figure the tail of arrow represent values of domain and head of arrow represent values of range.

So,

{1, 2, 4, 7, 9} is the domain of G(x) and {3, 5, 8} is the range

find the product of this question down below

Answers

Answer:

[tex]\large\boxed{D)\ \dfrac{8}{7}}[/tex]

Step-by-step explanation:

[tex]8\left(-\dfrac{2}{7}\right)\left(-\dfrac{1}{2}\right)\\\\\text{the product of two negative numbers is positive}\\\\8\cdot\dfrac{2\!\!\!\!\diagup^1}{7}\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=8\cdot\dfrac{1}{7}\cdot\dfrac{1}{1}=\dfrac{8}{7}[/tex]

Carter's telephone bill is automatically deducting $48 from his bank account every month. How much will the deductions total for the year?

Answers

Answer:576

Step-by-step explanation: For every year, Carter’s telephone bill will be $576. This is because is we know how much he is charged a month, we can take that number and multiply it by 12. We are multiplying it by 12 because there are 12 months in 1 year. Once we multiplied it that’s how we find out the cost for 1 year.

Have a great day,

Eric


An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 4 equal regions. The number of elements in the sample space of this experiment is

3

48

6

12

Answers

Answer:

The correct answer option is 48.

Step-by-step explanation:

In the given experiment, three events take place which include rolling a die, flipping a coin and spinning a spinner.

The possible outcomes of each of these events are as follows:

Rolling a die - 6

Flipping a coin - 2

Spinning a spinner - 4

Therefore, by multiplying their possible outcomes, we can find the number of elements in the sample space of this environment.

Number of elements = 6 × 2 × 4 = 48

If sinA=3/5 and cosB=5/13 and if A and B are measures of two angles in Quadrant I, find the exact value of the following functions.

cotB =

sin2A=

3)cos(5pi/6 + B) =

tan(A - pi/4) =

Answers

Answer:

1. [tex]\cot B=\frac{5}{12}[/tex]

2. [tex]\sin2A=\frac{24}{25}[/tex]

3. [tex]\cos(\frac{5\pi}{6}+B )=-\frac{5}{26}(\sqrt{3}+1)[/tex]

4. [tex]\tan(A-\frac{\pi}{4} )=-\frac{1}{7}}[/tex]

Step-by-step explanation:

If  [tex]\sin A=\frac{3}{5}[/tex] and [tex]\cos B=\frac{5}{13}[/tex], then we can use the Pythagorean identity to find [tex]\cos A[/tex] and [tex]\sin B[/tex].

[tex]\sin^2A+\cos^2A=1[/tex]

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

[tex]\frac{9}{25}+\cos ^2A=1[/tex]

[tex]\cos^2 A=1-\frac{9}{25}[/tex]

[tex]\cos^2 A=\frac{16}{25}[/tex]

[tex]\cos A=\pm \sqrt{\frac{16}{25}}[/tex]

Since A is in quadrant I,

[tex]\cos A=\sqrt{\frac{16}{25}}[/tex]

[tex]\cos A=\frac{4}{5}[/tex]

Also;

[tex]\sin^2B+\cos^2B=1[/tex]

[tex](\frac{5}{13} )^2+\sin^2 B=1[/tex]

[tex]\frac{25}{169}+\sin ^2B=1[/tex]

[tex]\sin^2 B=1-\frac{25}{169}[/tex]

[tex]\sin^2 B=\frac{144}{169}[/tex]

[tex]\sin B=\pm \sqrt{\frac{144}{169}}[/tex]

Since A is in quadrant I,

[tex]\sin B=\sqrt{\frac{144}{169}}[/tex]

[tex]\sin B=\frac{12}{13}[/tex]

This implies that;

[tex]\cot B=\frac{\cos B}{\sin B}[/tex]

[tex]\cot B=\frac{\frac{5}{13} }{\frac{12}{13} }[/tex]

[tex]\cot B=\frac{5}{12}[/tex]

[tex]\sin2A=2\sin A \cos A[/tex]

[tex]\sin2A=2\times \frac{3}{5} \times \frac{4}{5}[/tex]

[tex]\sin2A=\frac{24}{25}[/tex]

[tex]\cos(\frac{5\pi}{6}+B )=\cos(\frac{5\pi}{6})\cos(B )-\sin(\frac{5\pi}{6})\sin(B)[/tex]

This implies that;

[tex]\cos(\frac{5\pi}{6}+B )=\cos(\frac{5\pi}{6})\times \frac{5}{13}-\sin(\frac{5\pi}{6})\times \frac{5}{13}[/tex]

[tex]\cos(\frac{5\pi}{6}+B )=-\frac{\sqrt{3}}{2}\times \frac{5}{13}-\frac{1}{2})\times \frac{5}{13}[/tex]

[tex]\cos(\frac{5\pi}{6}+B )=-\frac{5}{26}(\sqrt{3}+1)[/tex]

[tex]\tan(A-\frac{\pi}{4} )=\frac{\tan A-\tan \frac{\pi}{4} }{1+\tan A \tan \frac{\pi}{4}}[/tex]

But; [tex]\tan A=\frac{\sin A}{\cos A}[/tex]

[tex]\tan A=\frac{\frac{3}{5} }{\frac{4}{5} }=\frac{3}{4}[/tex]

[tex]\tan(A-\frac{\pi}{4} )=\frac{\frac{3}{4}-\tan \frac{\pi}{4} }{1+\frac{3}{4} \tan \frac{\pi}{4}}[/tex]

Simplify;

[tex]\tan(A-\frac{\pi}{4} )=\frac{\frac{3}{4}-1 }{1+\frac{3}{4}}[/tex]

[tex]\tan(A-\frac{\pi}{4} )=-\frac{1}{7}}[/tex]

HELP!!! PLEASE!!!! 70 POINTS AND WILL MARK BRAINLIEST!!!!!

Answers

Answer:

41

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Find the limit if it exists.

Answers

Answer:

b. 27

Step-by-step explanation:

When finding the limit of a function with no domain restrictions, just plug in the value and evaluate the function

2(2)³ + 2² + 7

    2(8) + 4 + 7

        16 + 4 + 7

                    27

         

Answer:

the value of the given limit is 27

Step-by-step explanation:

[tex]\lim_{x \to 2} (2x^3+x^2+7)[/tex]

To find out the limit , we directly plug in 2 for x inside the given expression

[tex]\lim_{x \to 2} (2x^3+x^2+7)[/tex]

[tex]2(2)^3+(2)^2+7[/tex]

Evaluate the expression

[tex]2(8)+4+7[/tex]

[tex]27[/tex]

So, the value of the given limit is 27

given the two sets: A = {1, 2, 3}
B = {3, 2, 1}

which of the following is a true statement?

Answers

Answer:

[tex]\large\boxed{A\subseteq B}[/tex]

Step-by-step explanation:

[tex]A=\{1,\ 2,\ 3\},\ B=\{3,\ 2,\ 1\}\\\\4\in A-FALSE,\ \text{because only}\ 1\in A,\ 2\in A\ \text{and}\ 3\in A\\\\A\subseteq B-TRUE,\ \text{because any elements of A are the elements of B.}\\\\A\ \text{is infinite set}-FALSE,\ \text{because set A has a finite number of elements}\\\text{(three elements)}\\\\\O\notin B-FALSE,\ \text{because the empty set is subset of any set.}[/tex]

At what value of x does the graph of the following function F(x) have a vertical asymptote?

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

A. 2
B. -2
C. 0
D. -1

Answers

Answer:

  A.  2

Step-by-step explanation:

There is a vertical asymptote where the denominator is zero. (x-2) is zero when x=2.

Help with this question, please!!

Answers

Answer:

[tex]\large\boxed{C=22\pi y\ ft}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

We have the area of a circle

[tex]A=121y^2\pi ft^2[/tex]

Substitute to the formula and solve for r:

[tex]\pi r^2=121y^2\pi[/tex]            divide both sides by π

[tex]r^2=121y^2\to r=\sqrt{121y^2}\\\\r=11y\ ft[/tex]

Put the value of r to the formula of a circumference:

[tex]C=2\pi(11y)=22y\pi ft[/tex]

Plz help8 Pamela is shopping for bottled water at the supermarket. Which is the best buy?

Answers

Answer:

Answer best buy is C 24 0.5-liter bottles for $5.25

Step-by-step explanation:

Answer:

its C trust me

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