What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

y – 1=-3/2(x + 3)
y – 1=-2/3(x + 3)
y – 1=2/3(x + 3)
y – 1=3/2(x + 3)

What Is The Equation, In Point-slope Form, Of The Line That Is Parallel To The Given Line And Passes

Answers

Answer 1

The equation of the line parallel to given line and passing through (-3, 1) will be y – 1 = (3/2)(x + 3). Then the correct option is D.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the parallel lines are equal.

m = (2 + 4) / (2 + 2)

m = 6/4

m = 3/2

Then the equation of the line will be

y = (3/2)x + c

The line is passing through (-3, 1). Then the value of c will be

1 = (3/2)(-3) + c

c = 9/2 + 1

Then the equation will be

     y = (3/2)x + 9/2 + 1

y – 1 = (3/2)(x + 3)

Then the correct option is D.

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Related Questions

if 50 grams of sweets cost 250 rupees find the cost of 380 grams of sweets. ​

Answers

Cost of 380 gram of sweets = (2.1/50) * 380 = $15.96

What data collection
used in face-to-face
or written questionnaires?
method is
interview
O A. survey
O B. observation
O C. experiment
O D. publication

Answers

Answer:

survey (A)

A questionnaire (or someone asking questions) is considered to be a survey. It is "surveying" someone's opinion on data.

hope this helps!!

Please help quickly!!

Answers

Answer:

D

Step-by-step explanation:

In a certain town, the ratio of the number of children to the number of adults is 3 to 7. What percent of the town’s population are adults?

Answers

Answer:

70%

Step-by-step explanation:

If 3 child and 7 adult is in the town, then there are total 10 people. 7 ÷ 10 is equal to 0.7, which is 70%.

What is the domain of the function
f(x) = [tex]\sqrt{1/3 x + 2}[/tex]

Answers

The domain of the function is:

D: {x ∈ R | x ≥ -6}

How to get the domain of the function?

Here we have:

[tex]f(x) = \sqrt{(1/3)*x + 2}[/tex]

Remember that the argument of a square root can be only numbers equal to or larger than zero, so the domain of that function is such that:

[tex](1/3)*x + 2 \geq 0[/tex]

Now we can solve that for x.

[tex](1/3)*x + 2 \geq 0\\(1/3)*x \geq -2\\\\x \geq -2*(3/1)\\\\x \geq -6[/tex]

So the domain of the function is:

D: {x ∈ R | x ≥ -6}

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Answer:

The domain of the function is:

D: {x ∈ R | x ≥ -6}


Which of the following statements must be true about this diagram? Check
all that apply.

A. mz2+ mz3 = mz4
B. mz1+ m2 2 = m/3
C. m23 is greater than m<2
D. m24 is greater than mz1
E. mz1+mz2 = mz4
F. mz4 is greater than m<2

Answers

Answer:

D, E, F is the answer.

Step-by-step explanation:

From the diagram:-

m∠ 4 is greater than m∠ 1m∠ 4 is greater than m∠ 2m∠ 1 + m∠ 2 = m∠ 4

Therefore, D, E, F.

-------------------------------

SHL T Teleperformance
each interaction matters
Choose the correct option.
You arrived at your office at 9:35 AM. You left your office at 6:05 PM. How many hours did
spend in the office?

Answers

Answer:

8 hours 30 minutes

Step-by-step explanation:

6:05 pm - 9:35 am =

= 18:05 - 9:35

= 17:65 - 9:35

= 8:30

Answer:

Citcitdutditdutdtuditditdtiditf this is what is adjective 6hftuiouhvcutxyrzyt

Step-by-step explanation:

huuugggguytzurzt8st8s8ts9td96097g79t8dtrudutfitf8tfitftid8tdtdtudutd

can i charge my hp laptop more than 1000 times

Answers

Yes…………………………………..kdkdksks

Answer: Yes.

Step-by-step explanation: However, charging your battery to high voltages except for the first time can significantly decrease your battery's lifespan. According to some studies charging a battery to only 85% to 90% can improve its discharge cycle from 300 to even an extra 1000 recharges.

Determine the x and y intercepts of the equation y = -3x + 4.
Select one:
O a. y-int y = 4 and x-int x = 4/3
O b. y-int y = 4/3 and x-int x = 4
O c. y-int y = 4 and No x-int
O d. No y-int and x-int x =4/3​

Answers

Answer:

O c. y-int y = 4 and No x-int

Step-by-step explanation:

In the slope-intercept equation y = -3x + 4, only slope and y-intercept are displayed as it is in slope-intercept format which is y = mx + b; m being the slope and b being the y-intercept.

There is no x-intercept present in a slope-intercept equation.

But due to the 4 being in the place of the y-intercept is the y-intercept of the graph and line depicted off this linear equation (slope-intercept equation).

Hence, the answer is C. Y-intercept = 4 and No x-intercept.

Please help! I don't know how to do slopes.

Answers

The slope of the given line in  the image is -4 , Option A is the answer.

What is the equation of a straight line ?

The equation of the straight line is given by

y =mx +c ,

Where m is the slope , C is the intercept

The line is passing through the point

(-1,8)  ,(2,-4)

The slope is given by

m = (y₂-y₁) /(x₂-x₁)

m  = (-4 - 8 )/(2 +1)

m = -12/3

m = -4

Therefore the slope of the given line in  the image is -4 , Option A is the answer.

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1. What is the length of XU?
X
U
Y
36 in
V
Z
W
23 in

Answers

Answer: 49 in

Step-by-step explanation:

[23 + XU]/2 = 36 [trapezoid midsegment theorem]23 + XU = 72 [multiply both sides by 2]XU = 49 [subtract 23 from both sides]

Which statements about the system are true? Select two options.
y=-x-4
3y - x = -7
O The system has one solution.
O The system consists of parallel lines.
O Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.

Answers

The system of equation has one solution

How to determine the true statements?

The equations are given as:

y = -x - 4

3y -x = -7

Rewrite the first equation as:

y + x = -4

Add y + x = -4 to the second equation to eliminate x

4y = -11

Divide by 4

y = -11/4

Substitute y = -11/4 in y + x = -4

-11/4 + x = -4

Make x the subject

x = -4 + 11/4

Evaluate

x = -5/4

The above means that the system of equation has one solution

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Option A and B. The system has one solution and the system consists of parallel lines.

Slope of the lines

The slope of the lines is calculated as follows;

y = -x - 4

slope = - 1

3y - x = -7

3y = x - 7

y = x/3 - 7/3

slope = 1/3

Solution of the equations

y = -x - 4   ----(1)

3y - x = -7  ----(2)

solve (1) and (2)

3(-x - 4) - x = -7

-3x -12 - x = -7

-4x = 5

x = -5/4

y = -5/4 - 4

y = -5.25

Thus, the system has one solution and the system consists of parallel lines.

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Which of the following is equivalent to the radical expression below when
x>=2?
(√x-2)(√x+9)

Answers

The equivalent expression of [tex](\sqrt x - 2)(\sqrt x + 9)[/tex] is [tex]x + 7\sqrt x - 18[/tex]

How to determine the equivalent equation?

The expression is given as:

[tex](\sqrt x - 2)(\sqrt x + 9)[/tex]

Expand the expression

[tex]x - 2\sqrt x + 9\sqrt x - 18[/tex]

Evaluate the like terms

[tex]x + 7\sqrt x - 18[/tex]

Hence, the equivalent expression of [tex](\sqrt x - 2)(\sqrt x + 9)[/tex] is [tex]x + 7\sqrt x - 18[/tex]

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My supersonic jet burns 4 gallons of jet fuel in 3 seconds. How many gallons of jet fuel do I need to fly for an hour?

Answers

The number of gallons of Jet fuel that is needed to fly for an hour is; 14400 gallons

How to solve simple Algebra?

We are given;

Number of gallons burned = 4 gallons

Time to burn 4 gallons = 3 seconds

Now, for 1 hour there are 3600 seconds and so;

Number of gallons that is burnt in 3600 seconds = 3600 * 4

Number of gallons that is burnt in 3600 seconds = 14400 gallons

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The May bank statement for Rental shows a balance of $6,000, but the balance per books shows a cash balance of $8,000. Other information includes: 1. A check for $190 to pay the electric bill was recorded on the books as $10. 2. Included on the bank statement was a note collected by the bank for $450 plus interest of $30. 3. Checks outstanding totaled $270. 4. Bank service charges were $60. 5. Deposits in transit were $2,510.

Answers

The adjusted cash Balance is $8060 .

What is Bank Balance ?

The amount of money in a person's account at any given time is the Bank Balance of that person's account.

Unadjusted bank balance       6000

Difference in the electricity bill    -180

Add: Deposit in transit               2510

Less: Outstanding Checks         -270

Adjusted cash balance                8060

So answer is a) $8060

Therefore the adjusted cash Balance is $8060 .

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Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"

12 ⋅ x − 4
x − 4 ⋅ 12
4(x − 12)
12(x − 4)

Answers

Answer:

[tex]12(x - 4)[/tex]

Step-by-step explanation:

The question says, "twelve times the difference of a number and four"

Let's start with the first number, which is twelve = 12. Moving on, we have times = ×, then the difference which is minus(-). A number is unknown, any aphabet can be used to represent the number, so, we represent with 'x', and then four = 4.

Arranging them, we have:

[tex]12 \times x - 4[/tex]

in algebraic equations, times is always represented by bracket. Therefore, our final answer is:

[tex]12(x - 4)[/tex]

I hope this helps.

What is the volume of the complex figure

Answers

The volume of the given figure is 104 m³.

We need to find the volume of the given figure.

What is volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Divide the given figure into two convenient cuboids. That is one with dimensions length=4 m, breadth=4 m and height=3 m. Another with length=4 m,  breadth=7 m and height=2 m.

We know that, the volume of cuboid =l×b×h cubic units.

Now, the volume of cuboid=4×4×3=48 m³ and the volume of another

cuboid=4×7×2=56 m³.

The volume of the given figure=48+56=104 m³.

Therefore, the volume of the given figure is 104 m³.

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Help please I will do anything

Answers

Answer:

? = 12

Step-by-step explanation:

[tex]\frac{7}{12} +\frac{10}{12} =\frac{7+10}{12} =\frac{17}{12}[/tex]

[tex]\frac{17}{12} =\frac{12}{12} +\frac{5}{12} =1+\frac{5}{12} =1\frac{5}{12}[/tex]

Hope this helps

An arithmetic sequence is shown in the graph.
What is the equation for the nth term of the arithmetic sequence?

an = –3 + 5(n – 1)
an = –3 + 5(n + 1)
an = –3 – 5n
an = –3 + 5n

Answers

Answer:

an= -3+5(n-1)

Step-by-step explanation:

Try writing out the terms and finding a pattern. In this case, inserting any plotted x-value into the sequence -3+5(n-1) produces the correct y-value.

Answer:

A.) an = -3 + 5(n - 1)

Explanation:

Given: (1, -3), (2, 2), (3, 7), (4, 12), (5, 17)

Arithmetic Series: a + (n - 1)d

['a' is first term, 'n' determines term position, 'd' is common difference]

Determine the following:

a = -3d = second term - first term = 2 - (-3) = 5

Putting into equation:

-3 + (n - 1)5-3 + 5(n - 1)

HELP DUE SOON A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.

A parallelogram with a height of 6 yards and side length 9 yards. The height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. Rhombus is split into a soy half and a corn half.

Each bag of soil covers 20 square yards. How many bags should the farmer purchase?

Answers

The farmer should purchase 2 bags of soil for his farm.

What is Area of parallelogram?

A parallelogram is a two-dimensional figure with four sides. It is a special case of the quadrilateral, where opposite sides are equal and parallel. The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram.

The shape of the farm, according to the picture is a parallelogram. Therefore, the total area can be calculated as follows:

Area = base X height

where

b = base

h = height

base = 6.5 + 2.5 = 9.0 yards

height = 6 yards

Area = 6 × 9 = 54 square yards.

40 square yards requires 1 bag of soil .

54 square yards will require ?

Bags required = 54 / 40 = 1.35 bag

Thus, the farmer will require 2 bags of soil for his farm.  

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A parallelogram ABCD is shown with DC equal to 8 feet and the perpendicular distance between AB and DC equal to 3 over 4 foot. Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)

Answers

Answer:

6,3

Step-by-step explanation:

hope this helps

the math section in part B shows the equation for the area of a triangle, but this math could be skipped with a similar problem if you just divide the parraellogram by 2. (logic section)

Study each of the growing geometrical patterns. Then do the following for each pattern. (I) Give a verbal description of how the pattern is growing. (ii)Set up a table of values.(III) Write down a numerical description for each pattern (you must relate the number of the frame to the number of figures in the frame). (IV) For each pattern, write down a formula that can be used to calculate the number of building blocks in any term. (v) Write down the value of the 10th frame. Use your formula to determine how many building blocks there are in the 100th frame of each growing pattern. M M Δ Δ Δ 2 (6) (6) (8) [40]​

Answers

A description of how the pattern is growing is that the pattern is growing by the addition of two blocks every time.

How to illustrate the pattern?

A numerical description of the pattern is:

1 - 2 blocks.

2 - 4 blocks.

3 - 6 blocks

4 - 8 blocks.

The formula that can be used to calculate the number if building blocks in any term will be 2n. For example, the number of blocks for the 5th term will be:

= 2n = 2 × 5 = 10

The value for the 10th frame will be:

= 2n

= 2 × 10 = 20

The value for the 100th frame will be:

= 2n

= 2 × 100 = 200

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what is the volume of this complex figure

Answers

The volume of the given figure is 210 cubic in..

We need to find the volume of the given figure.

What is volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Divide the given figure into two convenient cuboids. That is one with dimensions length=4 in., breadth=2 in. and height=3 in. Another with length=4 in.breadth=4 in. and height=12 in.

We know that, the volume of cuboid =l×b×h cubic units.

Now, the volume of the cuboid=4×2×3=18 cubic in. and the volume of another

cuboid=4×4×12=192 cubic in.

The volume of the given figure=18+192=210 cubic in.

Therefore, the volume of the given figure is 210 cubic in.

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What is the solution to the following equation?
-3+x= -8

A. x = -5
B. x=5
C. x = 11
D. x=-11

Answers

x = -5.

Add 3 to each side, -8 + 3 = -5

Answer:

[tex]\mathsf {A. x = -5}[/tex]

Step-by-step explanation:

[tex]\implies \mathsf {-3 + x = -8}[/tex]

[tex]\implies \mathsf {x = -8 + 3}[/tex]

[tex]\implies \mathsf {x = -5}[/tex]

What are the possible zeros for f(x) equals X to the third power minus 2X to the second power minus 4X +15

Answers

The roots of the polynomial are done by using a calculator will be -2.3671, 2.1835 + 1.2527i, and 2.1835 – 1.2527i.

What are the roots of the polynomial?

The polynomial is given below.

[tex]\rm f(x) = a_0x^n + a_1 x^{n - 1}+ ....+ a_{n-2}x^2 + a_{n-1}x + a_nx^0[/tex]

The roots of the polynomial are equal to n or less than n.

And if one imaginary root is a + bi, then the other imaginary root will be a – bi.

The roots of the polynomial are done by using a calculator.

x = -2.3671, 2.1835 + 1.2527i, 2.1835 – 1.2527i

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Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base 6.4 inches. Find the surface area. Round to the nearest tenth.

Answers

The surface area of the square pyramid will be 78.08 square inches.

What is surface area?

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

Given that:-

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.

The surface area of the square pyramid will be calculated by the formula:-

[tex]SA = P\times\dfrac{l}{2}[/tex]

[tex]SA = 25.6\times \dfrac{6.1}{2}[/tex]

SA = 78.08 square inches

Therefore the surface area of the square pyramid will be 78.08 square inches.

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Normal annual capacity for star company is 36,000 machine hours, with fixed factory overhead budgeted as Rs. 16,920 and an estimated variable factory overhead rate of Rs. 2.10 per hour, During October actual production required 2,700 machine hours, with a total factory overhead of Rs. 7,400. Required: Compute: 1) The applied factory overhead 2) The over-or underapplied factory overhead amount for October,

Answers

The applied factory overhead is $6,939 and  the over-or underapplied factory overhead amount for October is $461.

Applied and under applied factory overhead

1. Applied factory overhead:

Predetermine overhead rate=Fixed overhead/Machine hours

Predetermine overhead rate=16,920/36,000

Predetermine overhead rate=0.47

Applied overhead=Machine hours×Rate

Variable=2700×2.10 per hour= $5,670

Fixed=2700×0.47 per hour=$1,269

Total overhead applied=$6,939

($5,670+$1,269)

2. Under applied overhead

Total overhead applied $6,939

Less Total factory overhead   $7,400

Under applied overhead -$461
($6,939-$7,400)

Therefore the applied factory overhead is $6,939 and  the over-or underapplied factory overhead amount for October is $461.

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A company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these probabilities: $10 - 0.75, $50 - 0.25. Over many weeks, what is a worker's expected weekly bonus?

Answers

The worker's expected weekly bonus is $30.0

How to determine the worker's expected weekly bonus?

The amounts and the probabilities are given as:

x    $10       $50

P(x)  0.75    0.25

The worker's expected weekly bonus is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

E(x) = $10 * 0.75 + $50 * 0.25

Evaluate the product

E(x) = $17.5 + $12.5

Evaluate the sum

E(x) = $30.0

Hence, the worker's expected weekly bonus is $30.0

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Find two positive numbers such that their sum is 60 and their product is a maximum. Select one: O a. 30 and 30 O b. 25 and 35 O c. 1 and 59 O d. 20 and 40​

Answers

Answer:

B: 25 and 35

Step-by-step explanation:

25 product 35 875

A. 30 x 30 = 900
B. 25 x 35 = 875
C. 1 x 59 = 59
D. 20 x 40 = 800

The biggest product is for 30 and 30

If you call one number x the other will be 60 - x
Product = x(60 - x) = 60x - x^2
This is a parabola with roots at 0 and 60
The maximum product is halfway between 0 and 60 ie when x = 30

Please I need help on Fundametal Trigonometric Identities?

Answers

Fundamental Trigonometric Identities are listed below:

[tex]sin^{2}[/tex]Θ + [tex]cos^{2}[/tex]Θ = 1[tex]sec^{2}[/tex]Θ - [tex]tan^{2}[/tex]Θ = 1[tex]cosec^{2}[/tex]Θ - [tex]cot^{2}[/tex]Θ = 1sinΘ  =   1 / cosec Θ cos Θ  = 1 / sec Θ tan Θ  =  1 / cot Θ tan Θ  =  sinΘ / cosΘ cotΘ   =  cosΘ / sinΘ

Meaning of Fundamental Trigonometric Identities

Fundamental Trigonometric Identities can be defined as the basic identities or variables that can be used to proffer solutions to any problem relating to angles and trigonometry.

In conclusion, A few Fundamental Trigonometric Identities are listed above.

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