On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2). Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?

Answers

Answer 1
The line is HJ
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to

step 1
Find the slope line AB
we have
A(-4,-2),B(4,2)
substitute the values in the formula



step 2
Find the slope line CD
we have
C(-4,0),D(4,-4)
substitute the values in the formula



step 3
Find the slope line FG
we have
F(-3,-3),G(0,3)
substitute the values in the formula



step 4
Find the slope line HJ
we have
H(-1,3),J(1,-1)
substitute the values in the formula



step 5
Compare the slopes
we have




we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
so
The slope of a line perpendicular to a line that has a slope of One-half must be negative 2
therefore
The line is HJ

Related Questions

At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960.
Which equation can be used to represent x, the number of single ride passes sold and y, the number of all day ride
passes sold?
O 2x + 15y = 2,960
O 12x + 5y = 2,960
O 15x + 2y = 2,960
O 17x + 15y = 2,960

Answers

Answer:

2x+15y=2960

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3
If f(x) =
x
-VX-3, complete the following statement:
X + 2
than or equal to
The domain for f(x) is all real numbers.
3.
Answer here
SUBMIT

Answers

Answer:

Greater

Step-by-step explanation:

Because x-3 must be greater or equal zero and x must be not equal -2

Find the missing angle

Answer option

30 degrees

130 degrees

Answers

Given:

The measure of one angle in the figure is 50 degrees.

To find:

The missing angle in the figure.

Solution:

Let x be the measure of the missing angle. Then

[tex]x+50^\circ=180^\circ[/tex]                     [Supplementary angles]

[tex]x=180^\circ-50^\circ[/tex]

[tex]x=130^\circ[/tex]

Therefore, the measure of the missing angle in the figure is 130 degrees. Hence, the correct option is B.

The graphs below have the same shape. What is the equation of the graph of g(x)?
A. g(x) = (x-2)^2
B. g(x) = (x+2)^2
C. g(x) = x^2 - 2
D. g(x) = x^2 + 2 ​

Answers

Answer:

Step-by-step explanation:

B. Because adding 2 moves you to the left when inside the parentheses.

Ryan is cleaning out his room. His sister gives him 4 boxes of books to put with the 3 books he already had. When he finishes cleaning he discovers he now has 35 books on his shelves. How many books were in each box? Write an algebraic expression to represent this problem then solve.

Answers

Answer:

8 books were in each box

Step-by-step explanation:

According to the Question,

Assume X is the Number of Books In Each Box.

We have, 4 boxes With the Same Number of Books In each Box,Thus Total Book in all box is 4X.And, 3 books Ryan Already Put In Shelves.Now, Total Number Of Book After Cleaning is 35 Books.

Algebraic Expression,

4X + 3 = 35

4X = 35 - 3

4X = 32  ⇔  X=8 books in Each Box.

2. If the sales tax on a $825 television set is 7%, how
much will you pay in total?


Please help!!Either question is fine!

Answers

Answer:

$882.75

Step-by-step explanation:

In order to calculate tax, you need to multiply the percentage by the purchase costs. First, start by finding the decimal value of the percentage.

7 ÷ 100 = 0.07 — Percentage converted to a decimal.

[tex]825 \times 0.07 = 57.75[/tex]

— The tax. Now, in order to find the whole price, the tax and retail price must be added together.

[tex]825 + 57.75 = 882.75[/tex]

As per linear equation, the amount I have to pay in total is $645.

The simplified value of the given expression is (8 - 17x).

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1."

1. Given, the cost of television is $825.

The sales tax rate is 7%.

Therefore, total price of the television is

= $[tex][825 + (\frac{825(7)}{100})][/tex]

= $[tex](825+57.75)[/tex]

= $[tex]882.75[/tex]

2. The given expression is:

[tex]-4(3x - 2)- 5x\\= -12x + 8-5x\\= 8-17x[/tex]

Learn more about a linear equation here:

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I need help again please!

Answers

Answer:

C = 28

Step-by-step explanation:

6/42 = 32-x/x

Answer:

C = 28

I hope this helped you

What Value of X satisfies this equation?

Answers

Answer:

x=0

Step-by-step explanation:

4 ( 2.5) ^x = 4

Divide each side by 4

4/4 ( 2.5) ^x = 4/4

( 2.5) ^x = 1

Take the log of each side

log  ( 2.5) ^x =  log (1)

x log ( 2.5) = log 1

x log (2.5) = 0

Divide each side by log (2.5)

x = 0

What is the vertex of the graph of y = x2 + 4X?
O (-2, -12)
O (-2,-8)
O(-2,-6)
O (-2,-4)

Answers

Answer:

vertex = (- 2, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 4x ← is in standard form

with a = 1, b = 4, c = 0 , then

x = - [tex]\frac{4}{2}[/tex] = - 2

Substitute x = - 2 into the equation for corresponding value of y

y = (- 2)² + 4(- 2) = 4 - 8 = - 4

vertex = (- 2, - 4 )

How many of the following numbers are factors of 34 or multiples of 7? 1, 2, 3, 4, 8, 14, 17, 29, 56, 91

Answers

Answer:

6

Step-by-step explanation:

So here are the numbers that are factors of 34 and multiples of 7

1,2,14,17,56,91

So count the numbers, 6. And that's ur answer, believe me

what are the steps to this?

Answers

Answer:

B=112

Step-by-step explanation:

Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112

Answer:

b = 112°

Step-by-step explanation:

The two angles from a straight line. so, they add to 180° .

b + 68° = 180°

subtract 68° from each side

b + 68° - 68° = 180° - 68°

b = 112°

What is the value of x?

Answers

Answer:

98deg

Step-by-step explanation:

Angles in a triangular add to 180.

180-(53+45) is the top angle.

Angles on a line add a up to 180

180 - triangles top angle = x

Can someone please help I really need these points

Answers

Given:

Two chords intersect each other inside the circle.

To find:

The value of x.

Solution:

According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to  the product of two segments of second chord.

In the given circle,

[tex]AE\times CE=BE\times DE[/tex]

[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]

[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]

[tex]15x^2-67x+44+x^2-15x-34=0[/tex]

[tex]16x^2-82x+10=0[/tex]

Divide both sides by 2.

[tex]8x^2-41x+5=0[/tex]

Splitting the middle term, we get

[tex]8x^2-40x-x+5=0[/tex]

[tex]8x(x-5)-1(x-5)=0[/tex]

[tex](8x-1)(x-5)=0[/tex]

Using zero product property, we get

[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]

[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]

For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.

Therefore, the required solution is [tex]x=5[/tex].

there are 105 teachers in a school 19 more are femal than male how what is the proprtion of female teachers

Answers

Answer: 62

Explanation: 105 - 19 = 86 (Find out how much the college would have without the more)
86 ÷ 2 = 43 (Find out male and female teachers in a seperate way without more)
43 + 19 = 62 (Female teachers)

1/2-1/4 is equal to ​

Answers

Step-by-step explanation:

1/2 -1/4

2*4-1*1/4

=1/4.

1/4is answer

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} - \frac{1}{4} [/tex][tex] \frac{1}{2} \times \frac{2}{2} - \frac{1}{4} [/tex][tex] \frac{2}{2 \times 2} - \frac{1}{4} [/tex][tex] \frac{2}{4} - \frac{1}{4} [/tex][tex] \frac{2 - 1}{4} [/tex][tex] \frac{1}{4} [/tex]Hope it is helpful...

Extend the sequence and then complete the
statements.
А
A (blank) is an ordered list of numbers that can
form a pattern.
А (blank)
is an element in a sequence.
You can (blank)
a sequence by finding and writing
more terms.
The next term in the sequence is A = (blank)

Answers

Answer:

l

Step-by-step explanation:

A sequence is an ordered list of numbers.....

A term is an element in a sequence.

You can expand a sequence by finding and writing....

The next term in the sequence is A = (general term)

What is the surface area of this cone?

A) 161pi ft^2
B) 49pi ft^2
C) 112pi ft^2
D) 125pi ft^2

Answers

C I’m pretty sure I had that and it was that

Answer:

I think it's C. cause I multipled 16 by 7

Find the measure of the reference angle for each given angle
0=225

Answers

Answer:

45°

Step-by-step explanation:

Reference angle is defined as The smallest angle that the standard position of a given angle will make with the x-axis.

Now, the given angle 225 lies in third quadrant. So, for us to find the reference angle, we will have to subtract 180 from it to get;

225 - 180 = 45°

Find the volume of the composite solid below.
4 ft
3 ft
-
4 ft
10 ft

Answers

Answer:

173.3ft

Step-by-step explanation:

We'll start by the rectangle below

so remember the formula: l · w · h

10 · 4 · 3 = volume

volume = 120 ft

Rectangular pyramid

Volume = [tex]\frac{1}{3}[/tex] b · h

Volume = 1/3 40 · 4

Volume = 1/3 160

Volume = 53.3 ft

120 + 53.3 = 173.3 ft

For a certain population, the population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.

Answers

60 Are taken but the single is 1 and is that you

The standard deviation of the distribution of sample proportions is rounded to the nearest hundredth.60 Are taken but the single is 1.

How is the standard deviation of the sampling distribution of a proportion calculated?

The population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.

The Sampling Distribution of the Sample Proportion

and standard deviation σˆP=√pq/n.

How do you find the proportion of a population with mean and standard deviation?

This is given by the formula Z=(X-m)/s where Z is the z-score, X is the value you are using, m is the population means and s is the standard deviation of the population. Consult a unit normal table to find the proportion of the area under the normal curve falling to the side of your value.13

Learn more about standard deviation at

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what is seven million written as numeral? ​

Answers

Answer: 7,000,000

A million= six zeroes

Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions

Each place value represents an additional zero

Seven million written as a number is 7,000,000 hun

En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.

Answers

Answer:

36 Km

Step-by-step explanation:

Por favor, encontrar el archivo adjunto

(4 × 5) × 7 = 7 × _________ (4 × 7) 20 (7 - 5) (5 + 7)

Answers

Answer:

I think the answer is 5 hope it helps

Solve the rational equation:
2x/x-1 - 2x-5/x^2 -3x+2 = -3/x-2

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2x}{x-1} -\frac{2x-5}{x^2-3x+2} =\frac{-3}{x-2} \\\frac{2x}{x-1} +\frac{3}{x-2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x(x-2)+3(x-1)}{(x-1)(x-2)} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-4x+3x-3}{x^2-2x-x+2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-x-3}{x^2-3x+2} =\frac{2x-5}{x^2-3x+2} \\x\neq 1,x\neq 2,x^2-3x+2\neq 0\\multiply~by~x^2-3x+2\\2x^2-x-3=2x-5\\2x^2-3x+2=0\\x=\frac{3\pm\sqrt{9-4*2*2} }{2*2} \\x=\frac{3 \pm\sqrt{-7} }{4} \\x=\frac{3 \pm \sqrt{7} i}{4}[/tex]

The solutions of the given rational equation are 13/4 and 11/4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 2x/(x-1) - (2x-5)/(x² -3x+2) = -3/(x-2)

Here, 2x/(x-1) - (2x-5)/(x² -2x-1x+2) = -3/(x-2)

2x/(x-1) - (2x-5)/(x(x-2)-1(x-2)) = -3/(x-2)

2x/(x-1) - (2x-5)/((x-2)(x-1)) = -3/(x-2)

(2x(x-2)-(2x-5))/((x-2)(x-1)) = -3/(x-2)

(2x²-4x-2x+5)/(x-1)=-3

2x²-4x-2x+5= -3(x-1)

2x²-6x+5=-3x+3

2x²-6x+5+3x-3=0

2x²-3x+2=0

By using quadratic formula, we get

x=3±√(9-8)/4

x=3± 1/4

x= 3+1/4 and x=3-1/4

x=13/4 and x=11/4

Therefore, the solutions of the given rational equation are 13/4 and 11/4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?

Answers

$216 x 0.08 = $17.28.
Therefore $17.28 was collected for sales tax.

The Happy Platter orders corn tortillas and flourtortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas? Write your ratio 2 ways.

Answers

Answer:

One was to write this ratio is lets say you where ordering 100 Happy Platters this mean you would get 200 corn and 300 flour.

another way is lets say you got a Happy Platter and split it in half with some one else you would get 1 corn and 1.5 flour

PLS I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!

Answers

Answer:

5. 2 hours 45 minutes 6. 7:23 7. 10:05 8. 1 hour 34 minutes

Step-by-step explanation:

I mean u gotta be lying about staying up all night to do these 4 problems but heres the answers

Answer:

5. 2 hours 45 mins

6. 7:23 start

7. 10:05

8. 1 hour 34 mins

Please help and thank you!

Answers

Answer:

f(x) = 4*e^(0.05*x)

Step-by-step explanation:

We want to find the equation for the graph.

The first thing we can see, is that, as the value of x increases, also does the value of y.

So f(x) increases as x increases.

Then we can discard the options with negative exponents, as those decrease when x increases.

Then the remaining options are:

f(x) = 4*e^(0.05*x)

f(x) = 4*e^(0.5*x)

In the graph, we can see that:

f(5) ≈ 5

So let's check that with the two remaining options:

For the first one we have:

f(5) = 4*e^(0.05*5) = 5.13

While for the second option we have:

f(5) = 4*e^(0.5*5) = 48.73

Then the correct option is the first one:

f(x) = 4*e^(0.05*x)

Will give brainliest but Please hurry got until tmrw
A train is traveling at a constant
speed, and its distance over time is
shownin the graph. What is the speed
of the train?

Answers

Answer:

It looks like 35 miles per hour

Step-by-step explanation:

if you look at the vertical line between 0 and 2 (which is the one hour mark) on the horizontal axis of the graph you can see the line of the graph crossed under the 40 mi. Therefore the train traveled about 35 miles in one hour (or 35 mph) because there are no other answers under 40.

Add these mixed numbers 4 4/7+3 2/7

Answers

Answer:

50/7 or 7 1/7

Step-by-step explanation:

the answer is 7 6/7 since you’re just adding the whole numbers and fractions.
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