Mathematics College

Don’t quite understand.

Answers

Answer 1

Answer:

(a) Same slope and different y intercept

Step-by-step explanation:

Given

[tex]y = \frac{3}{7}x + 11[/tex]

[tex]-3x + 7y = 13[/tex]

Required

Are the lines, parallel?

To do this, we first convert both equations to slope intercept;

[tex]y = mx+ b[/tex]

Where

[tex]m = slope[/tex]

So, we have:

[tex]y = \frac{3}{7}x + 11[/tex]

[tex]-3x + 7y = 13[/tex]

Solve for 7y

[tex]7y = 3x + 13[/tex]

Solve for y

[tex]\frac{7y}{7} = \frac{3x}{7} + \frac{13}{7}[/tex]

[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]

So, the two equations are now:

[tex]y = \frac{3}{7}x + 11[/tex]

[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]

When two lines have the same slope but different y intercepts, then they are parallel.

Recall that:

In [tex]y = mx + b[/tex]

[tex]m = slope[/tex]

[tex]b = y \ intercept[/tex]

So:

In [tex]y = \frac{3}{7}x + 11[/tex] and [tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]

The slopes are:

[tex]m = \frac{3}{7}[/tex] and [tex]m = \frac{3}{7}[/tex]

The y intercepts are:

[tex]b = 11[/tex] and [tex]b = \frac{13}{7}[/tex]

Since the values of m (the slope) are the same and the values of b (the y intercepts) are differenr, then they are parallel

Related Questions

whats the circumference?

Answers

Answer:

40.82

Step-by-step explanation:

3.14 times 13

Question 1 (2 points)
Nicole earns a 4.5% commission at LuLu Lemon. She sold $800 worth
of gear. How much was her commission

Answers

Answer:

Step-by-step explanation:

To complete an English exam, you must write 3 essays from a list of 7 prompts. In how many ways can you complete the exam?

Answers

Answer:

35 ways

Step-by-step explanation:

7 nCr 3 = 7!/(3!(7-3)!) = 7!/(3!*4!) = 35

Roseanne drew a circle with a radius of 20.2 cm. What was the approximate circumference of the circle if you use 3.14 for ?

A. 63.428 cm
B. 126.856 cm
C. 126.956 cm
D. 253.712 cm

Answers

So B will be the answer

Answer: B 126.856

Explanation:

6x4/12+72/8-9 using pemdas

Answers

Here ya go ^v^ try to use math.way
I hope this helps
Ya have a wonderful day ^v^

Answer:

the answer is 2

Step-by-step explanation:

You do multiplication and division left to right first and then you add the two answers

help pls
750000 + 4000 x 4%

Answers

750000+4000 x 4% is 750160

Answer:

750160 ez

Step-by-step explanation:

what would been the volume?

Answers

Answer:

960 cm²

Step-by-step explanation:

Volume = height x length x width

Volume = 16 x 12 x 10

Volume = 1920 cm²

Since this prism is half

Volume = 1/2 ( 1920)

Volume = 960 cm²

find the unknown lengths in the pair of similar triangles

Answers

Answer:

a = 3

b = 2

Step-by-step explanation:

The ratio of the corresponding sides of two similar triangles are always equal. Therefore,

9/a = 18/6 = 6/b

✔️Let's solve for a:

9/a = 18/6

9/a = 3

Cross multiply

a*3 = 9

Divide both sides by 3

a = 9/3

a = 3

✔️Let's find b:

18/6 = 6/b

3 = 6/b

3*b = 6

b = 6/3

b = 2

What is 0.0475 converted to a percentage

Answers

Answer:

0.0475 = 4.75%

Step-by-step explanation:

Answer:

4.75%

Step-by-step explanation:

Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.

The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.

[tex]\frac{0.0475}{1}[/tex]=[tex]\frac{x}{100}[/tex]

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is: 4.75%

Answers

Answer:

68 people

Step-by-step explanation:

Find how many finished in under 3 hours by multiplying 80 by 0.85

80(0.85)

= 68

So, 68 people finished in under 3 hours

f(x) = 3x + 7. What is f(4) ?

Answers

Answer:

I believe the answer is 19.

WILL GIVE BRAINLIEST (URGENT)

Answers

Answer:

Step-by-step explanation:

Answer:

C 1/5 is the coorect answer

Step-by-step explanation:

The base of a rectangular prism has a length of 36 centimeters and a width of 29 centimeters. If the volume of the rectangular prism is 7,830 cubic centimeters, how long is the HEIGHT of the prism?

Answers

Answer:

7.5

Step-by-step explanation:

you think about the way you would normally solve it but a bit backwards therefore multiply 36x29 and that equals 1,044 and divide that from 7,830 and thats 7.5 multiply to check

plzzz help will
mark the brainliest!!

Answers

9514 1404 393

Answer:

x = 10

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary.

(9x +15) +(6x +15) = 180

15x +30 = 180 . . . . . . . . . . simplify

15x = 150 . . . . . . . . . subtract 30

x = 10 . . . . . . . . divide by 15

a line is parallel to y=3x-2 and intersects the point (3,5)

Answers

It says parallel so the gradient will be the same

The equation of the line that is parallel to y = 3x - 2 and intersects the point (3, 5) will be y = 3x - 4.

What is the equation of a parallel line?

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The linear equation is given below.

y = 3x - 2

The equation of the line that is parallel to the line y = 3x - 2 will be given as,

y = 3x + c

The equation passes through (3, 5), then we have

5 = 3(3) + c

5 = 9 + c

c = - 4

Then the equation of the line will be y = 3x - 4.

More about the equation of a parallel line link is given below.

https://brainly.com/question/402319

#SPJ2

Using the tree diagram and assuming that all options are equally likely, what is the probability of using sprinkles?
Choose
ICECREAM
Choose
TOPPING
nuts
vanilla
sprinkles
nuts
Enter shop
strawberry
sprinkles
nuts
chocolate
sprinkles

Answers

Answer:

Step-by-step explanation:

A television selling for $940.00 is marked down by 15%. What is the price after the markdown?

Answers

Step-by-step explanation:

100%-> 940.00

100%-15%=85%

85%->940.00 ÷ 100 x 85

=799. 00

Five friends shared 1 1/2 pounds of fudge equally. How much did each friend get?

Answers

Answer:

each friend gets 0.1 fudge

Step-by-step explanation:

need help with calculation:

you owe $2154.35 on your PBnJ credit card that has an interest rate of 9.85% APR, rather than placing $435 into a savings account earning 2.5% APR, you pay down the principal at the beginning of the month on the credit card. How much interest did you save? (HINT: Calculate the difference between the interest you would earn from the savings account and the interest you would pay on your credit card for the $435)

Answers

Answer:

if that $100 was on a loan or credit card, your debt could grow and grow until the interest you owe was more than the original principal! Credit Score or Rate. Your credit score is how well you pay off your credit .

Due in 5 mins!! FIND THE MISSING LENGTHS!!!!!

Answers

Since the shape is a square the sides are equal. Then we need to find x such that x * x = 169.
Sqrt(169) = 13
So x = 13

-2
у
5
4.75
4.5
4.25
1
2.

Answers

The answer is 2.456 to be exact

What is the quotient of 3 divided by 1/2.

Answers

Answer:

Step-by-step explanation:

===

----

Multiply numerator and denominator by 2

3 *2

===

1 * 2

----

The 2s in the denominator cancel

6/1 = 6 is the answer.

What is the value of y in the parallelogram below

Answers

Send picture of the shape

factor 6x^4+42x^2+12

Answers

Answer: 6(x^(4)+7x^(2)+2)

Step-by-step explanation: Factor 6 out of 6x^(4)+42x^(2) +12

brainliest or a thank you please :)) <33

Use the equation to answer the question . x + 9 + 2x = 3x + 11 How many solutions does the equation have? ОА. Ano solutions O solution c two solutions O infinitely many solutions

Answers

Answer:

No solution

Step-by-step explanation:

Add x and 2x.

3x+9=3x+11

Move all terms containing x to the left side of the equation.

Subtract 3x from both sides of the equation.

3x+9−3x=11

Combine the opposite terms in

3x+9−3x.

Subtract 3x from 3x.

0+9=11

Add 0 and 9.

9=11

Since 9≠11, there are no solutions.

Hope it is helpful....

Answer:

Answer:

No solution

Step-by-step explanation:

Add x and 2x.

3x+9=3x+11

Move all terms containing x to the left side of the equation.

Subtract 3x from both sides of the equation.

3x+9−3x=11

Combine the opposite terms in

3x+9−3x.

Subtract 3x from 3x.

0+9=11

Add 0 and 9.

9=11

Since 9≠11, there are no solutions.

Hope it is helpful....

diavinad8 and 7 more users found this answer helpful

THANKS

5.0

(2 votes)

Step-by-step explanation:

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i am pro

-7/4 = 2/5x solve for x

Answers

X=-35/8 hope this helps

Cars A and B leave the same place and travel in the same direction along a straight road. Car A travels at 60 km/h and car B travels at 72 km/h. After how long will they be at 8km apart

Answers

The difference in speed of the two cars is 72-60 = 12 km per hour.

The time they would be 8 km apart would be 8/12 = 2/3 of an hour

1 hour = 60 minutes

60 minutes x 2/3 = 40 minutes.

The cars will be 8 km apart in 40 minutes.

Answer:

After 40 min they will be 8km apart

Step-by-step explanation:

Car A is traveling 1km per minute Car B is traveling 1.2km per minute, so Car B will gain 1km on Car A every 5 min. To be 8km apart, you calculate 5min x 8 = 40 min

Write 98 as the product of prime factors.
Write the prime factors in ascending order.

Answers

Answer:

2 * 7 * 7 = 98

hope this answer helps you!

Sevilya bought a new computer. She had to pay 8% in sales tax. The cost of the computer is $1,000. How much did she pay in total? Show all work

Answers

Answer:

1080

Step-by-step explanation:

1000*8%=80

1000+80=1080

PLEASE HELP!! I don't really know how to solve this.

Answers

Answer:

x=13

y=14

Step-by-step explanation:

We know that angle JNK is equal to angle MNL. We also know that angle JNK and angle KNL are supplementary.

Knowing this, we can write two equations: [tex]4x-1=3y+9[/tex] and [tex](4x-1)+(2x+6y+19)=180[/tex]. We can solve for y in the first equation. Subtracting 9 from both sides gives us [tex]4x-10=3y[/tex]. Dividing both sides by 3 gives us [tex]\frac{4x-10}{3} =y[/tex].

We can plug that in to the second equation to get [tex](4x-1)+(2x+6(\frac{4x-10}{3} )+19)=180[/tex]. Expanding the second parenthesis, we get [tex]2x+8x-20+19[/tex] which equals [tex](10x-1)[/tex]. We now have [tex](4x-1)+(10x-1)=180[/tex]. Expanding gives us [tex]14x-2=180[/tex]. Adding 2 to both sides gives us [tex]14x = 182[/tex]. Dividing both sides by 14 gives us [tex]x=13[/tex].

We can now plug 13 into the above equation to solve for y. [tex]y= \frac{4*13-10}{3}[/tex] Solving that gives you [tex]y=14[/tex].

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