Which of the following equations represents a line that is parallel to the line with equation y = 3/2*x-7/4?
(A) 6x+4y=8
(B) -6x + 4y = 11
(C) x-2y=-4
(D) 3x+2y=7​

Answers

Answer 1

Answer:

(B) -6x + 4y = 11

Step-by-step explanation:

Two lines are parallel if they have the same slope

In the line equation, y = mx + b, m = slope

For y = 3/2*x - 7/4, slope = 3/2

(B) can be written as

4y = 6x +11

Dividing by 4 on both sides gives y = 6/4*x + 11/4 which is 3/2*x + 11/4 so the coefficient of x (the slope) is 3/2 which is the slope of the line in the question

Using same strategies for the other lines, you will see
(A) has slope -3/2

(C) has slope 1/2

(D) has slope -3/2


Related Questions

Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5%

Answers

Answer:

actually its A... i know cause i got it WRONG

Step-by-step explanation:

The gross profit margin for Korey’s Comics given the net sales, gross profit and net income is  76.3%.

What is the gross profit margin?

Gross profit margin is a profitability ratio. It is used to measure the financial health of a company and used to determine the efficiency with which the firm generates profits.

Gross profit margin = gross profit / net sales

3320 /3320 = 76.3%

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find the value of x.

Answers

Answer:

74 I believe

180 - 32 = 148

148/2 = 74

Hope this helps!

Answer:

[tex]x + x + 32 = 180(sum \: of \: inside \: the \: triangle \: is180) \\ 2x = 180 - 32 \\ x = \frac{148}{2} \\ x = 74[/tex]

Helpppppppppp meeeeeee pleaseeeeeeeee

Answers

Answer:

If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5

Answer:

49 and 51

Hope it helps

What is the average speed of a turtle that moved 50 inches in 5 minutes? (speed = distance ÷ time)

A.
55 inches per minute

B.
10 inches per minute

C.
0.1 inches per minute

D.
250 inches per minute

Answers

B 10 inches per minute 50 divided by 5 equals 10

Answer: It would be B 10 inches per minute

Step-by-step explanation: Because if it is (Speed=distance/time) that would mean you would divide 50 into 5 which would be 10 50/5 5x10=50

Given: RT || SP, RQ ≅ QP, RP bisects ST at Q
Prove: ΔRQT ≅ ΔPQS

Triangles R Q T and P Q S are connected at point Q. Lines R T and S P are parallel. The lengths of lines R Q and Q P are congruent.
Tamir is working to prove the triangles congruent using SAS. After stating the given information, he states that TQ ≅ QS by the definition of segment bisector. Now he wants to state that ∠RQT ≅ ∠PQS. Which reason should he use?

alternate interior angles theorem
corresponding angles theorem
linear pair postulate
vertical angles theorem

Answers

Answer: vertical angles theorem

Step-by-step explanation:

Kaye will compute for the area of a circle using the formula A=π×r2.If given is the diameter of a circle , what should be computed first?

Answers

Answer:

Find the radius.

Step-by-step explanation:

The task is to solve for area of a circle, and you are given the diameter.

The formula for area is :

Area of a circle = π × (radius)²

In this formula, there is only one input value, and that is the radius.

To find the radius, you must know the relation :

Radius x 2 = Diameter

Hence, the radius must be computed first and foremost.

For the the axis of symmetrythe vertex and the yintercept y = x ^ 2 + 16x + 24

Answers

Answer: D (bottom option)

Axis of Symmetry: x = -8

Vertex: (-8, -40)

Y-Intercept: 24

Step-by-step explanation:

Start by putting the equation into vertex form, which you can do by completing the square. This means the equation will in the form [tex]y=a(x-h)^2+k[/tex].

Once you've done that, you'll get [tex]y=(x+8)^2-40[/tex]. This means that h = -8 and k = -40, so the vertex is (-8, -40) because vertex form is (h, k).

The axis of symmetry is x = -8, because the axis of symmetry is x = h.

When putting it into a graphing calculator, you have to find the middle “line”, in this example the axis of symmetry is -8.

The Axis of Symmetry is -8

Scott sells beaded necklaces. Each large necklace sells for $6.20 and each small necklace sells for $4.70. How much will he earn from selling 1 large necklace and 3 small necklaces?

Answers

Answer:

$20.13

Step-by-step explanation:

$4.70x3=$14.10+$6.20 = $20.13

In Exercises 4 and 5. graph the polygon and its image after a reflection in the given line.

Answers

Need points, don’t use this

Answer is A

can someone do this for me please?! Just the answer pls

Answers

Step-by-step explanation:

1: MD = 17.621

VD = 27.41

2:

60 degrees

3: sinC

Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students also contributed?
E. $6.50
F. $6
G. $7
H. $8

Answers

Answer:

8$

Step-by-step explanation:

4 students contribute 12$ Each.

So, total amount becomes 12 x 4 = 48$

If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$

Equivalent fractions for 6/11 and 5/12 using the common denominator

Answers

well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.

Find the probability of each event.

A fair coin is flipped ten times. What is
the probability of the coin landing tails up
at least nine times?

Answers

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

The coin is fair, hence p = 0.5.The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098[/tex]

[tex]P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001[/tex]

Hence:

[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108[/tex]

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

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The triangle below is equilateral. Find the length of side X in simplest radical form with a rational denominator.

Answers

Answer:

kinda hard

Step-by-step explanation:

h² = c² + c²

([tex]\sqrt{11}[/tex])² = ([tex]\sqrt{11}[/tex]/2)² + x²

x² = ([tex]\sqrt{11}[/tex])² - ([tex]\sqrt{11}[/tex]/2)²

answer: x = [tex]\sqrt{11}[/tex]  - [tex]\sqrt{11}[/tex]/2

Figure 1 is similar to figure 2. What is the height of figure 1?
4x 2x
x+1 x
A.1 Units
B.2 Units
C.8 Units
D.4 Units

Answers

Answer:D 4 units

Enjoy

The calculated value of the height of figure 1 is (d) 4 units

How to calculate the height of figure 1?

from the question, we have the following parameters that can be used in our computation:

The figures

The figure 1 is similar to figure 2

So, we have

4x/(x + 1) = 2x/x

When evaluated, we have

4x = 2x + 2

So, we have

2x = 2

Evaluate

x = 1

This means that

Height = 4 * 1

Evaluate

Height = 4

Hence, the height of figure 1 is 4 units

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What is the surface area of the rectangular prism below?

Answers

Answer:

the answer is A. 612

Step-by-step explanation:

SA=2(wl+hl+hw)

parenthesis() mean multiply

x means multiply

SA= 2 x width x length + height x length + height x width

ladder reaches a window 18 ft high,
and makes a 64 angle with the
ground. How long is the ladder?
Round your ancun

Answers

Using trigonometric ratio, the length of the ladder that reached the window is 20.03 feet

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let l represent the length of the ladder, using trigonometric ratio:

sin(64) = 18/l

l = 20.03 feet

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A student made an 84% on
their Unit 1 Math Test.
What fraction is equivalent to
the score the student made on
the test?

Answers

Answer:

84/100

Step-by-step explanation:

We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.

(100 points)Match each graph on the left with the functions on the right

Answers

Answer:

See below ~

Step-by-step explanation:

Graph 1 : y = -3x + 3

Graph 2 : y = 6x + 6

Graph 3 : y = 6x + 9

Graph 4 : y = -7x + 1

Recall slope intercept form of a line

y=mx+b

where b is y intercept

Whatever m be b is constant for line .

So we can find the equations through y intercepts

#1

y intercept near 5 but beneath 5

The most probable according to our options is 3

So equation is

y=-3x+3

#2

Y intercept just over 5 .It must be 6

y=6x+6

#3

y intercept around 10

.Most probable according to options is 9

y=6x+9

#4

Just above the origin the y intercept is present.

y=-7x+1

A second boat passes by your port, at a distance of 1,500 feet from shore. 10 seconds later, the boat is 2,000 feet away from you. how fast was the boat going?

Answers

Speed is distance over time
So 2000-1500=500 (how far the boat went in the given time)
the time is 10 seconds
500/10=50ft/sec.

The square below represents one whole.
What percent is represented by the shaded area?

Answers

Answer:

0.85.

Step-by-step explanation:

We know that:

this grid is 1 whole.

We don't know:

how much is shaded in.

Let's count up by tenths:

0.10.20.30.40.50.60.70.8

It suddenly stops at 0.8.

Let's count up by hundredths:

0.810.820.830.840.85

It stops at 0.85.

0.85 is your answer.

Please help giving 80 points
Graph the function on the coordinate plain

A)what are the x intercepts
B)what is the y intercepts
C)what is the maximum and minimum value

Answers

Answer:

X Intercepts: (2, 0), (-6, 0),

Y Intercepts: (0, – 12)

minimum: (-2,-16)

Step-by-step explanation:

A) what are the x intercepts

X- axis interception points of x²+ 4x– 12:

(2,0), (-6,0)

B)what is the y intercepts

Y-axis interception point of x² + 4X – 12:

(0, – 12)

X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)

C)what is the maximum and minimum value

Parabola equation in polynomial form

The parabola params are:

a=1, b=4,c= -12

xv= -b/2a

xv= -4/2.1

simplify

xv=-2

Plug in xv = -2 to find the yv value

yv= -16

Therefore the parabola vertex is (-2, – 16)

If a<0. then the vertex is a maximum value

If a>0. then the vertex is a minimum value

a=1

minimum=(-2,-16)

What weight would give a newborn a z-score of −0.75? grams

Answers

Using the normal distribution, it is found that a weight of 3125 grams would given a newborn a z-score of −0.75.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Researching the problem on the internet, it is found that the mean and the standard deviation for the weight of newborns is given as follows:

[tex]\mu = 3500, \sigma = 500[/tex]

Hence, the weight associated with Z = -0.75 is given by X:

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

[tex]-0.75 = \frac{X - 3500}{500}[/tex]

X - 3500 = -0.75(500)

X = 3125.

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A cone with a radius 3 feet is shown. Its approximate volume is 140 cubic feet.

Answers

Answer:

the answer to this question should be 14.85

The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth?

Answers

The approximate value of log b to the nearest hundredth is 1.23

Laws of logarithm

Given the following logarithmic expressions

loog(5)b and log(9)48

Determine the value of log(9) 48

log(9)48 = 1.762

Equate log(5) b to 1.762 to log(5)b to determine the value of b

log(5)b = 1.762

b = 5^1.762

b = 17.044

log b = log 17.044 = 1.232

Hence the approximate value of log b to the nearest hundredth is 1.23

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Answer:

B =  1.232

Step-by-step explanation:

Just did it

Suppose that F(x) = x² and G(x) = -1/3 (x+4)^2. Which statement best compares the graph of G(x) with the graph of F(x)?​

Answers

Answer: C

Step-by-step explanation:

The graph is shifted 4 units left as seen with (x+4) so x = -4.

The graph is reflected over the x axis as seen with -a

The graph is compressed vertically because the functions a value is less than f(x) = [tex]x^2[/tex]

Answer:

D

Step-by-step explanation:

Changes observed :

Coefficient of x² becomes 1/3 of original, this means it is vertically compressedAlso, the coefficient has become negative, meaning it is flipped over the x-axisx² is now (x + 4)², this means it has shifted 4 units to the left.

The correct option is D.

Sam is doing a project about pets. what is an example of a statistcal question he could write about the topic

Answers

An example of a statistcal question that Sam could write about is the weight of the members of a sample of 100 dogs.

What is statistical question?

Statistical question can be regarded as the question that needed alot of data processing before one can answer it.

When choosing a Statistical question, one should know that it will involve collection of data for processing such as classification of the pet base on their weights.

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A rectangular prism with a length of 4 meters, width of 0.5 meters, and height of 4 meters. 2 triangular prisms are cut out of the cube. The triangular prisms have triangular sides with a base of 2 meters and height of 1 meters. The prism has a height of 0.5 meters.

Using the dimensions in the diagram, calculate how much cement is needed to build the monument.


4 m3

7 m3

8 m3

16 m3



i need the answer as fast as possible like i need it today and if right many marked branliest

Answers

Answer:

7 m3

Step-by-step explanation:

Correct

The cement that is needed to build the monument will be 7 m³. Thus, the correct option is B.

What is the volume?

The volume of the rectangular prism is calculated as,

V = LWH

V = 4 m x 0.5 m x 4 m

V = 8 m³

The volume of the triangular prism is calculated as,

V = (BHL) / 2

V = (2 m x 1 m x 0.5 m) / 2

V = 0.5 m³

Since there are two triangular prisms, the total volume of both triangular prisms is:

⇒ 2 x 0.5 m³

= 1 m³

The total amount of cement is calculated as,

⇒ (Volume of rectangular prism - Total volume of both triangular prisms)

⇒ (8m³ - 1m³)

⇒ 7 m³

Thus, the correct option is B.

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What is the median of the data set represented by the plot?

Answers

Answer:

5

Step-by-step explanation:

It's in the middle of all the numbers

If you do need a more in-depth explanation just comment under here and I'd be happy to show you how I did it :)

Graph the equation
x - y= -4

Answers

Answer:

y=x+4

Step-by-step explanation:

y intercept should be at positive 4 and a straight line going in the positive direction

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