Mathematics Middle School

"write an equation in slope-intercept form of the line satisfying the given conditions."

The line passes through (-3,2) and is parallel to the line whose equation is y = 4x + 1.

How do I do this problem? Show all work.

Answers

Answer 1
The given line has a slope of 4. 
This is because y = 4x+1 is in the form y = mx+b (m = 4 is the slope)

Any line parallel to the given line is also going to have the same slope of m = 4

Plug in m = 4 and (x,y) = (-3,2) and then solve for b
y = mx+b
2 = 4(-3)+b
2 = -12+b
2+12 = -12+b+12
14 = b
b = 14

So m = 4 and b = 14 means that y = mx+b turns into y = 4x+14

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

Final Answer: y = 4x+14

Related Questions

Sum or difference of 1 5/12+ 2 1/12

Answers

The sum of the equation 1 5/12 + 2 1/12 would be 3 6/12 or 3 1/2. We can figure this out by first adding the wholes to get 3 and then adding the numerators of the fractions to get 6/12 or 1/2.
I hope this helped! :-)
1 5/12 + 2 1/12= 3 6/12. The answer is 3 1/2

Analysts determined that a basketball team had a 50% chance of winning its next game. Which simulation could you use to answer questions about winning the game?

Answers

As the team has 50% chance of winning, we should use a simulation that also has same chances.

so, flipping a coin can be used in this case, as it has 2 outcomes each with probability 1/2

Answer: On Imagine Math it is the flipping.

Step-by-step explanation:

heeeeeeeelppppppppppppppppppppppppp

Answers

The slope will be 7 because the equation is in slope intercept form.

slope intercept for is y = mx +b
m is the slope and b is the y intercept
Answer:
slope of line = 7

Explanation:
The slope-intercept form has the general formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
y = 7x + 1/8

Comparing the given with the general formula, we will find that:
m is the slope = 7
c is the y-intercept = 1/8

Hope this helps :)


My sister is buying new carpet for her bedroom floor. The length of the bedroom is 13 feet. The area of the bedroom is 175.5 square feet. How wide is my sister's bedroom?


A. 13.5 ft

B. 13.5 ft 2

C. 162.5 ft 2

D. 198.5 ft 2

Answers

Since the formula for the area of a rectangle is length × width = height, we can divide the area by the length to get the width.

175.5 ÷ 13 = 13.5

And since the width is one dimensional, the answer is A.

Hope this helps!
Area = length x width
Given:  length = 13 , area = 175.5

175.5 = 13 x width
width = 175.5 ÷ 13 
width = 13.5 feet

The width is 13.5 ft (Answer A)

MATH HELP PLEASE! WILL GIVE BRAINLIEST!
In circle A, mBEC is 290º.



What is the measure of ∠BAC ?




70º

130º

170º

360º

Answers

The answer is (A 70 ) (you must subtract the given degree and get 70) hope it helps and have a great day!

Which figure has the same area as the parallelogram show below

Answers

 A trapezoid with a base of 6 but I do not see the other part of that answer.

Answer:

A trapezoid with bases of 6 mm and 14 mm and a height of 8 mm.

Step-by-step explanation:

(I promise you this is right! :))

Which equation shows the relationship between x & y?

Question 21 options:

Y = x + 6


y = 3x


y = 2x + 3


y = 4x – 3

Answers

y=3x is correct. Hope this helped :)
Y=3x is the correct answer for sure

Help please! Thanks:)))

Answers

it would be between the 3 m and the 4 m
 
hope this helps :)

Order these numbers from least to greatest

Answers

Least is closest to 0. If you convert the fractions to decimals, it may be easier to determine least to greatest.

Least= 3.311
3.32
27/8= 3.375
Greatest= 3 4/9= 3.444444


Hope this helps! :)

A store marks up a jacket by 121%. the store's cost for the jacket is %87.62. Find the selling point of the jacket.

Answers

Selling point???

You mean selling price.

Let x = selling price

100 + 121 = 221

Here is your equation:

221/100 = x/87.62

100x = (221)(87.62)

Can you finish?

Solve for x.

Help me on this question

Answers

y=144 degrees
x=52 degrees
the answer is 196 degrees


Mrs. Cox and Mr. Jones are in charge of the work-study program for Oak High School. Each teacher is in charge of supervising 10 students. They are comparing statistics for the two groups of students based on the hours worked per week. Which statement is true?

A) The mean for Mrs. Cox is greater than the mean for Mr. Jones.

B) The median for Mr. Jones is greater than the median for Mrs. Cox.

C) The median for Mrs. Cox is greater than the median for Mr. Jones.

D) The Interquartile Range for Mrs. Cox is greater than the Interquartile Range for Mr. Jones.

Answers

I think it’s D but not sure

Answer:

B I think

Step-by-step explanation:

According to the Bohr model, the radius of a hydrogen atom is approximately 5.29 × 10/-11 meters. What is this measurement written in standard form?
A. 0.00000000529 meters
B. 0.00000000000529 meters
C. 0.0000000000529 meters
D. 0.000000000529 meters

Answers

the answer is C, 0.0000000000529 because you move the decimal over as many places as the power says. For example, it says 10 to the -11th power so you move the decimal over 11 places to the left. 

The measurement 5.29 × 10⁻¹¹ meters written in the standard form is option C, 0.0000000000529 meters.

Given that:

According to the Bohr model, the radius of a hydrogen atom is approximately 5.29 × 10⁻¹¹ meters.

It is required to write this number in scientific notation in the standard form.

Here the power of the 10 is negative.

So, the decimal point has to be shifted to the left.

Now, since the number to the power is 11, the decimal points have to be shifted 11 points to the left.

After shifting 1 point, the number is 0.529 × 10⁻¹⁰.

After shifting two points, the number is 0.0529 × 10⁻⁹.

In this way,

The number will have 10 zeroes before 5.

Hence the number is 0.0000000000529 meters, which is option C.

Learn more about Scientific Notation here :

https://brainly.com/question/19625319

#SPJ4

These parallelograms are similar. Compare the first to the second and give the ratio of their perimeters. Write the ratio in simplest terms.
P1= 8
P2= 6
A. 64:36
B. 16:9
C. 4:3
D. 8:6

Answers

its c. hope it helps. :)

Suppose you borrow $1,200 at an add-on interest rate of 5% for 4 years. What will be the amount of your monthly payment ?

Answers

1200* (5% * 4) = 240
240 + 1200 = 1440
1440/12 = $120

The answer is $120 per month.

The amount can be calculated using the formula

[tex] A=P( 1+\frac{r}{100})^t [/tex]

Here P is the Principal ,r is the rate of interest and t is the formula .

In the given question P=$1200 ,r=5% ,t= 4 years.

Substituting these values in the formula

[tex] A=1200( 1+\frac{5}{100} )^4 [/tex]


[tex] A=1200(1.05)^{4} [/tex]

A=1458.60

Amount of monthly payment=[tex] \frac{1458.60}{12} =121.55 [/tex]

The amount of your monthly payment is $121.55.

Olivia ate 1/4 of a pizza if there were 12 slices of pizza how many slices did Olivia eat

Answers

Hello!

There are many ways you can solve this question. I'll show you a few. Way 1:

Convert 1/4 to a decimal by dividing its numerator by its denominator.

1 ÷ 4 = 0.25

1/4 is 0.25 as a decimal.
Then, multiply the amount of slices of pizza by the decimal form.

12 × 0.25 = 3

Way 2:

Since the numerator is 1, simply divide ths number of slices by the denominator of the fraction. You will get the same answer.

12 ÷ 4 = 3

ANSWER:

Olivia ate 3 slices of pizza.

Help me asap please! :D

Ki’von has a sink that is shaped like a half-sphere. The sink has a diameter of 20 inches. One day, his sink clogged. He has to use one of two different cups to scoop the water out of the sink. The sink is completely full when Ki’von begins scooping.

(a) What is the exact volume of the sink? Show your work. (3 points)

(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work. (6 points)

c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work. (6 points)

Answers

Step 1
Find the volume of a sink
Volume sink=(4/6)*pi*r³ (half-sphere)
Diameter=20 in--------------> r=D/2-----------> r=10 in
Volume sink=(4/6)*pi*10³---------> (2000/3)*pi in³ --------> 2093.33 in³

(a) What is the exact volume of the sink? 
the answer part a) is (2000/3)*pi in³  (2093.33 in³)

(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it?

volume of a conical cup=pi*r²*h/3
diameter=8 in--------------> r=4 in
h=6 in
volume of a conical cup=pi*4²*6/3-----------> 32*pi in³
if one cup---------------------> 32*pi in³ 
X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(32*pi)------------> 20.83----------> 21 cups

the answer part b) is 21 cups

(c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it?

volume of a cylindrical cup=pi*r²*h
diameter=4 in--------------> r=2 in
h=6 in
volume of a cylindrical cup=pi*2²*6-----------> 24*pi in³
if one cup---------------------> 24*pi in³
  X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(24*pi)------------> 27.77----------> 28 cups

the answer part c) is 28 cups
Answer: See each part below:

a) The volume of a sphere is (4/3)pi(r^3). If you input a 10 for the radius of sink, you will get 4000/3(pi). However, we have to divide it by 2 since it is a half-sphere. So the volume is 2000/3(pi).

For each cone, the volume formula is: pi(r^2)h/3.

b) With a radius of 4 and a height of 6, the volume is 100.53. Dividing the volume of the sink by this takes 21 scoops.

c) With a radius of 2 and a height of 6, the volume is 100.53. Dividing the volume of the sink by this takes 84 scoops.

what is the approximate volume of a cylinder with a radius of 4 cm and a height of 5 cm drag and drop the answer into the box

Answers

The formula for volume of a cylinder is  V= πr2h. The two means to square it, not multiply by two. So you would have 3.14 x 16 x 5. The sixteen in the equation comes from squaring 4. The answer is 251.2.

simplify the expression Write your answer as a power.

Answers

The answer is c to the fourth power.

Which set of statistics best describes a typical home value in Maya's neighborhood and how the values vary?

Answers

The answer is the median and the interquartile range. When you have data that is skewed ( more data points on one side or another, than the median is a good measure as well as the range of the middle half of the data (interquartile range -IQR).

Answer:

The typical home value is best described by the median.

The value variation is best described by IQR.

Step-by-step explanation:

For samples of data that have outliers, the set of statics that best describes central tendencies are the robust measures.

The median is a robust measure because the outliers will have very little impact on the result of the measure.

The IQR is a robust measure because it takes the difference between the 75th percentile and the 25th percentile of a sample, so the outliers are ignored.

What is -5 1/2 - 4 1/4 + 6 3/4

Answers

I believe the answer is -3

Can someone help me with this 2 step eqaution

Answers

The answer is:  " 40 books " .
____________________________________________
Explanation:
____________________________________________
Let "x" equal the number of books that Jill started with.  Solve for "x" :
____________________________________________
         x – (1/2)x  + 16 = 36 ;

1x – (1/2)) = (1/2)x ; 

(1/2)x + 16 = 36 ; 

Subtract "16" from EACH SIDE of the equation:

(1/2)x + 16 – 16 = 36 – 16  ; 

(1/2)x = 20 ; 

Multiply each side of the equation by "2" ; 

2*(1/2)x = 20 * 2 ; 

to get:  x = 40 . 
____________________________________________
The answer is:  " 40 books " .
____________________________________________

1.8y-9.3y-6.3y hope you can help

Answers

8y - 9.3y - 6.3y = -7.6
The answer is -13.8y

First subtract 1.8y from 9.3y which is 7.5y, but since you are actually subtracting a larger number from a smaller number, you add a negative sign because your answer is less than 1. Then you add -6.3y to to -7.5y because you have two negatives. While it may seem like you should add them, you will subtract because you are adding essentially more negative to the negative number. I hope that makes sense! Once you add -6.3y to -7.5y your answer is -13.8y.

plz answer the picture above

Answers

When a coordinate is reflected across the y axis, the x changes to the opposite and y stays the same.


X(0, -6)   X' (0,-6)

Y(-10, 4)  Y'(10, 4)

Z(3, -1)    Z' (-3,-1)  

Hopes this helped!!!!

Help with mathematics hw show all the work for each problem given Geniuses

Answers

7. A great way to do this is to use a recursive routine on a calculator. 
Begin with {5000,0} to represent the starting amount of money and years passed. Hit enter. Then, put in: {Ans(1)x1.06,Ans(2)+1}. 
The first part adds the compounded interest and the second adds a year.
Hit enter until the second value equals 8. You get {7969.24037265,8}. 
Round that to the nearest cent to get $7,969.24 as the investment's value after 8 years. 

9. Let's use the recursive routine again. 
Begin with {1,1} to represent the starting 1 mile on week 1. Hit enter. 
For the second part, use {Ans(1)x1.2, Ans(2)+1}. The first part increases the number of miles and the second goes to the next week. Hit enter until the second value is 10. The result is {6.1917364224,10}. The question says to round to the nearest mile, which is 6 miles. 

4. This recursive routine will be different, since it is decreasing. Instead of multiplying it by something more than one, multiply it by 0.5. Start with {100,0} for the money and weeks. Hit enter. For the second part, use 
{Ans(1)x0.5, Ans(2)+1}. Hit enter until the second value is 5. The result is 
{3.125, 5}. Round to the nearest cent to get $3.13 left after 5 weeks. 

Hope this helps!

Create a scale drawing of the original drawing using a horizontal scale factor of 80% any vertical scale factor of 175%.Write a numerically equation to find what the horizontal and vertical distances.

Answers

To answer this question I am going to create an example of a rectangle you could use. If the original width (horizontal distance) is 10, and the length (vertical distance) is 12, you would do the following to find the scaled version:

Length - 12 x 1.75= 21
Width - 10 x 0.8 = 8

Your scaled version would be 21 x 8.

wich is greater 8kg or 30 oz

Answers

8kg, Because 8kg in oz is 282
Well all you got to do is convert kg to oz
1kg= 35.2739619
so 8*35.2739619 would be 282.191695

Tomas works as an underwater photographer. He starts at a position that is 19 feet below sea level. He rises 9 feet, then descends 16 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.

Answers

19=9-16 would probably be something to go off of and begin your thought process with.
Answer:

Expression:

X = Xo + 9 feet  - 16 feet
X = - 19 feet + 9 feet - 16 feet
X = - 26 feet (26 feet below the sea level)

Explanation:

1) Call Xo the initial position, and X the variable to indicate the actual position

2) Use position 0 for sea level

3) use negative sign for positions under the sea level

4) use positive sign for positions above the sea level

5) Expression:

Final position = initial position + movements upward - movements downward

X = Xo + 9 feet - 16 feet

X = - 19 + 9 feet - 16 feet = - 26 feet

Billy made 1/2 gallons of juice for a picnic. He said that he made 3/4 quart of juice. EXPLAIN BILLY’S MISTAKE.

Answers

4 quarts are in 1 gallon, half of that is 2 quarts in 1/2 gallon.

Anyone know this? Don’t really understand it

Answers

The answer would be 8
The answer is 8 because 1/2 of 64 is 8.... 8 times 8 is 64
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