Mathematics College

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?. .a. y = 2x – 2. b.y = 2x + 2. c.y = x + 2. d. y = x – 2

Answers

Answer 1

the equation for a line is y = m x + b

using the first set of coordinates (0,2)
2 = m * 0 + b
b = 2

using the second set of coordinates (4,6)
6 = 4 m + 2
4 m = 4
m = 4 / 4
m = 1

use those numbers into the line equation

y = x +2

Answer is C

Answer 2

Answer:

The equation of line is y = x + 2 .

Option (c) is correct .

Step-by-step explanation:

The equation of line is represented by

[tex](y-y_{1}) = \frac{(y_{2}-y_{1})}{x_{2}-x_{1}} (x-x_{1})[/tex]

As given

Line CD passes through points (0, 2) and (4, 6).

[tex](y-2) = \frac{(6-2)}{4-0}(x-0)[/tex]

[tex](y-2) = \frac{4}{4}(x-0)[/tex]

y -2 = x

y = 2 + x

Therefore the equation of line is y = x + 2 .

Option (c) is correct .

Related Questions

Find how long it takes a $ 900.00 investment to earn $ 120.00 in interest if it is invested at 6% compounded annually.

Answers

so, we know the earned interest is 120, and we know the original deposited amount is 900 bucks, so, the accumulated amount will then be 900 + 120 or 1020 bucks.

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$1020\\ P=\textit{original amount deposited}\to &\$900\\ r=rate\to 6\%\to \frac{6}{100}\to &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years \end{cases}[/tex]

[tex]\bf 1020=900\left(1+\frac{0.06}{1}\right)^{1\cdot t}\implies \cfrac{1020}{900}=(1.06)^t\implies \cfrac{102}{90}=(1.06)^t \\\\\\ log\left(\frac{102}{90} \right)=log(1.06^t)\implies log\left(\frac{102}{90} \right)=t\cdot log(1.06) \\\\\\ \cfrac{log\left(\frac{102}{90} \right)}{log(1.06)}=t\implies 20.92 \approx t[/tex]

What raw score is at the 34th percentile (34.13 to be exact) when the mean of the distribution is 50 and the standard deviation is 4?

Answers

Let x = the raw score at the 34th percentile.

Given:
μ = 50, the mean
σ = 4, the standard deviation

The z-score is
z = (x - μ)/σ = (x - 50/4

From the normal tables, obtain z = -0.41 for 34% of the area.
Therefore
(x - 50)/4 = -0.41
x - 50 = -1.64
x = 48.36

Answer: 48.36

Find the probability that a randomly selected student is male, given that the student is a nursing major. the probability is . 027.027. (round to three decimal places as needed.) (b) find the probability that a randomly selected student is a nursing major, given that the student is male. the probability is nothing. (round to three decimal places as needed.)

Answers

Final answer:

The probability that a randomly selected student is male, given that the student is a nursing major, is 0.027. The probability that a randomly selected student is a nursing major, given that the student is male, is undefined.

Explanation:

To find the probability that a randomly selected student is male, given that the student is a nursing major, we can use conditional probability. Let's assume that P(M) represents the probability of selecting a male student, and P(N) represents the probability of selecting a nursing major. The given information states that P(M|N) = 0.027, which means the probability of selecting a male student, given that the student is a nursing major, is 0.027.

To find the probability that a randomly selected student is a nursing major, given that the student is male, we can use conditional probability once again. The given information states that P(N|M) = nothing. This implies that there is no information given about the probability of selecting a nursing major, given that the student is male. Therefore, the probability is undefined and we cannot determine an answer.

solve the following: all fractions should be reduced to lowest terms and mixed numbers. -1 1/4 x (-2/5)=

Answers

-1 1/4 * (-2/5) =

= -5/4 * (-2/5)

= 10/20

= 1/2

Convert -1 1/4 to the mixed number -5/4.

Then the product of -1 1/4 and -2/5 is (-5/4)(-2/5) = 10/20, or 1/2.

Please, do not use " x " to indicate multiplication. " x " is reserved for naming variables. Instead, use " * " to indicate mult.

Thus, your problem is best written -1 1/4 * -2/5

Norman spends $100. He spends $35 on a video game. What percentage of his original $100 does Norman have left after buying the game?

Answers

Attached the solution and work.

Final answer:

To find the percentage of Norman's original $100 that he has left after buying the game, subtract the cost of the game from $100 and then calculate the percentage. Norman has 65% of his original $100 left after buying the game.

Explanation:

To find the percentage of Norman's original $100 that he has left after buying the game, we need to subtract the cost of the game from $100 and then calculate the percentage.

Subtract $35 from $100: $100 - $35 = $65.Calculate the percentage of $65 out of the original $100: $65 / $100 × 100 = 65%.

Therefore, Norman has 65% of his original $100 left after buying the game.

At a store, hot dogs come in packages of eight and hot dog buns come in packages of twelve. What is the least number of packages of each type that you can buy and have no hot dogs or buns left over?

Answers

2 packages of buns 3 packages of hot dogs

A random triangle is formed in some way, such that all pairs of angles have the same joint distribution. what is the correlation between two of the angles (assuming that the variance of the angles is nonzero)?

Answers

Does it has a picture?

The correlation between two angles in a random triangle is negative. This means that as one angle increases, the other angle decreases, and vice versa.

How to find what is the correlation between two of the angles

In a random triangle, the angles are not independent of each other; they are constrained by the fact that the sum of the angles in any triangle must be 180 degrees (or π radians). Let's consider two of the angles, say A and B, in the triangle.

Since the sum of all three angles is a constant (180 degrees or π radians), if one of the angles (let's say A) increases, it implies that the other angle (B) must decrease in order to maintain the sum as a constant. Conversely, if A decreases, B must increase. This negative relationship between the two angles implies that they are negatively correlated.

Therefore, the correlation between two angles in a random triangle is negative. This means that as one angle increases, the other angle decreases, and vice versa.

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BRAINLEIEST ANSWER!! What is the unit rate for 501.9 mi in 21 h? Enter your answer, as a decimal, in the box. m/h

Answers

You need miles per hour.
Miles divided per hour.
Divide the distance by the time.

(501.9 mi)/(21 h) = 23.9 mph

To find the unit rate divide total miles by total hours:

501.9 / 21 = 23.9 miles per hour

A bag of rice weighs 3.18 pounds. Find its mass in kilograms. ( 1 kilograms = 2.2 feet )

Answers

there are 2.2lbs in 1kg, so, how many kg in 3.18lbs?

[tex]\bf \begin{array}{ccll} lbs&kg\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2.2&1\\ 3.18&k \end{array}\implies \cfrac{2.2}{3.18}=\cfrac{1}{k}\implies k=\cfrac{3.18\cdot 1}{2.2}[/tex]

The probability that pete will catch fish when he goes fishing is .8. pete is going to fish 3 days next week. define the random variable x to be the number of days pete catches fish. the probability that pete will catch fish on exactly one day is

Answers

Final answer:

The random variable X is defined as the number of days Pete catches fish. The probability that Pete will catch fish on exactly one day is 0.096.

Explanation:

The random variable X is defined as the number of days Pete catches fish when he goes fishing.

To find the probability that Pete will catch fish on exactly one day, we can use the binomial probability formula. The formula is:

P(x) = (n C x) * p^x * (1-p)^(n-x)

where n is the number of trials (in this case, 3 days), x is the number of successes (in this case, 1 day), and p is the probability of success (in this case, 0.8).

Plugging in the values, we get:

P(x = 1) = (3 C 1) * 0.8^1 * (1-0.8)^(3-1) = 3 * 0.8 * 0.2^2 = 0.096

Name the segments that are skew to AB.
I have attached an image with the diagram and answers.

Answers

Choice A is eliminated since GH is parallel to AB. The segment GH is NOT skew to AB.

Choice B is also eliminated since CD is parallel to AB

Choice C is eliminated because AC intersects AB at point A. Skew lines never cross and they are not parallel in 3D space.

Choice D is the only thing left. The segments EG, DH, CG and FH are all skew to AB. They aren't parallel to AB and they never cross AB

So choice D is the final answer

Answer:

EG, DH, CG, FH

Step-by-step explanation:

The last choice, segments EG, DH, CG and FH, do not cross AB, nor are they parallel to AB. So, they are all skew.

In the first choice, GH is parallel to AB, so it would not be skew. So, this is not the answer.

In the second choice CD is parallel to AB, so it would not be skew. So, this is not the answer.

In the third choice, AC and AB cross, so it would not be skew. So, this is not the answer.

Skew lines do not cross and are not parallel.

Which strategy would you use to find 2+8

Answers

Left to right
2+8=10

I would say 'I have eight, now I will add two, nine, ten. 2 plus eight is 10'

how to write 3+0.7+0.04 in standard form

Answers

Place them accordingly, the decimal point will always stay between the 3 and the 7. So it would come out as 3.74

3.00 + 0.70 + 0.04 the numbers fall right in place

It is found 3+0.7+0.04 in standard form as; 3.74

What is standard form?

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.

We have to write 3+0.7+0.04 in standard form.

First Place them accordingly, the decimal point will always stay between the 3 and the 7.

3.00 + 0.70 + 0.04 the numbers fall right in place.

So, it would come out as 3.74

Therefore, It is found 3+0.7+0.04 in standard form as; 3.74

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For the data in the table does Y very directly with X

Answers

I will explain and show you how to solve this kind of problems with an example.

Example:

Table:

x          y

16        4

32      16

48      36

Direct relation means that the ratio y / x is constant.

So, let's examine this ratio:

Ratio y / x

4/16 = 1/4

16/32 = 1/2

36/48 = 3/ 4

Given that the ratio y/x is not constant, the conclusion is that y does not vary directly with x.

A company will need 25,000 in 7 years for a new additon. To meet this goal, the company deposits money into an account today that 3% annual interest compound quarterly. Find the amount that should be invested to total 25,000 in 7 years.

Answers

You can use the simple interest formula
[tex]P = irt[/tex]

We need P, which is the primary (or principal) investment, and we know that:

rate = 3% (0.03)
time = 7
i = $25000

So, just plug in and solve:
[tex]I = 25000(0.03)(7)[/tex]
[tex]I = 5250[/tex]

The company needs to invest $5250 today, to make $25000 in 7 years.

Where does f(x) = 3x2 – 11x – 4 intersect the x-axis? The negative x-intercept is at ( , 0). The positive x-intercept is at ( , 0).

Answers

The function f(x) = 3x^2 - 11x - 4 is a quadratic equation; the negative x-intercept is at (-1/3,0) and the positive x-intercept is at (4,0)

What is the x-intercept?

The x-intercept of a function is the point where the function crosses the x-axis

Check below on how to determine the x-intercept

The function is given as:

f(x) = 3x^2 - 11x - 4

Next, we plot the graph of the function

From the attached graph, the function crosses the axis at:

(-1/3,0) and (4,0)

Hence, the negative x-intercept is at (-1/3,0) and the positive x-intercept is at (4,0)

Answers

The chances for a red apple is 16.5% and for yellow it's 33%

Suppose the number 1155 is written as the product of three positive integers. What is the smallest possible value of the sum of those three integers?

Answers

3. the equation I used is: 3×5×77

My first thought when I read this problem was "11 is a factor of 1155." Indeed,
1155 equals 11 times 105. Next, determine factors of 105. I see that 5 is a divisor of both 10 and 5, so that 105 equals 5 times 21.

Adding together these three integers: 11+5+21 = 37

But wait! 21 can be factored (e. g., into 7 times 3).

You'll need to identify all of the several sets of 3 positive integers each and find the sum of each set. Only after you've done this can you choose the set whose sum of the three integers is the smallest. Please show your work, so that others can give you feedback on it.

Write the equation for a parabola with a focus at (0,-5)(0,−5)left parenthesis, 0, comma, minus, 5, right parenthesis and a directrix at y=-3

Answers

Final answer:

The equation of a parabola with a focus at (0,-5) and a directrix at y=-3 is derived by equating the distances of any point (x, y) in the parabola from the focus and the directrix respectively. Simplifying these expressions leads to the equation y = (1/8)x² - 1.

Explanation:

The equation for a parabola can be derived from its definition. A parabola is defined as the set of all points (x, y) in a plane which are equidistant from a fixed point, the focus (given here as (0,-5)) and a fixed line, the directrix (given as y=-3).

Let's calculate the distance between the focus (0, -5) and any point in the parabola (x, y). We get the equation:
√[(x-0)² + (y-(-5))²].

And the distance between the point (x, y) and the directrix (y=-3) is |y - (-3)| = y + 3.

Since we know that the two distances are equal, we can equate the two expressions:
√[(x-0)² + (y-(-5))²] = y + 3.

Solving it further, squaring both sides, and simplifying, we get:
y = (1/8)x² - 1.

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what is the median of 81 87 93 89 61 81

Answers

the median is 84
you put the numbers in order least to greatest then find middle # if two you add the two numbers together then divide by 2

The median of the numbers 81, 87, 93, 89, 61, 81 is 84.

To find the median of the set of numbers 81, 87, 93, 89, 61, 81, you first need to arrange them in numerical order. The sorted list is 61, 81, 81, 87, 89, 93. Since there is an even number of data points, the median will be the average of the two middle numbers.

The two middle numbers in this ordered list are 81 and 87. We can calculate the median by finding the average of these two numbers:

(81 + 87) / 2 = 168 / 2

168 / 2 = 84

Therefore, the median of this data set is 84.

What is the measure of angle CED?

Answers

Angle CED must also measure 60°.
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.

Answer:

[tex]m<CED=m\°[/tex]

Step-by-step explanation:

we know that

Triangles ABC and CDE are similar triangles, because the corresponding angles are congruent

[tex]m<BCA=m<DCE[/tex] ------> by vertical angles

[tex]m<ABC=m<CDE[/tex] ----> given problem

[tex]m<BAC=m<CED[/tex] ----> The sum of the internal angles of the triangle must be equal to [tex]180[/tex] degrees

we have

[tex]m<BAC=m\°[/tex]

[tex]m<CED=m\°[/tex]

liam is setting up folding chairs for a meeting. if he arranges the chairs in 9 rows of the same length, he has 3 chairs left over. if he arranges the chairs in 7 rows of the same length, he hass 19 left over. How many chairs does Liam Have

Answers

Hello, Here is a link to the answer. I am posting this link because it is a Brainly link and a verified answer https://brainly.com/question/219158

Casey took 25 in 135 days at this rate in how many days will she take another 10 tests

Answers

It will take her another 50 days to do 10 tests.

Alicia draws a diagram to represent two forces, F1 and F2, acting on a body. The angle between the directions of the forces is 50° as shown in the diagram. Alicia notices that she can use the Law of Cosines to find the magnitude of the resultant force R in the diagram. What is the value of R?

Answers

Refer to the diagram shown below.

When the two forces F₁ and F₂ are added vectorially, the resultant force is R.
The angle x = 180° - 50° = 130°.

From the Law of Cosines, obtain
R² = F₁² + F₂² - 2F₁F₂ cos(130°)
Note that 2 cos(130°) = -1.2856.

Answer:
R = √(F₁²+ F₂² + 1.2856 F₁F₂ )

C. 70.7 is my best guess.

Mateo make six loaves of banana bread he sells 2/3 of the loaves a bake sale which expression represents how many loaves Mateo sold at the bake sale

Answers

2/3=n/6
2/3*6=4
Hope this helps

When asked to write the prime factorization of the number 27, a student wrote 9·3. Explain the error and rite the correct answer. What would be the correct answer

Answers

Prime factors are numbers used to multiply to another number that cant be divided by anything else except for 1. The problem is that 9 can be divided into 3 and 3. So the prime factorization of 27 is 3 x 3 x 3

∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what is the measure of ∠ABD?

Answers

you're given both arcs, minor and major, or near and far arcs, all you need to do, is really plug them in

a rectangular pool is 91/3 feet long and 25/2 feet wide. what is the area of the pool

Answers

2275/6 or 379.1667. You multiply the top (numerators) parts of the fractions and then the bottom (denominators). You then divide them.

663 rounded to the nearest tenth and thousand

Answers

Hey You!

663 rounded to the nearest tenth is: 660.

663 rounded to the nearest thousand is: 1000.

phyllis says you have to know the number of fans in order to dertemine the fraction of the fan that are children

Answers

Yes, you do need to know how many fans there are in total in oder to determine what fraction of them are children.

True. You must know the whole number before you can find out how much of something takes makes up another

hope this helps

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