find the equation of the line that contains the point (-1,-11) and is parallel to the line 7x+3y=10

Answers

Answer 1

y=- \frac{7}{3} [tex]-13 \frac{1}{3} [/tex].

To find the equation of a line, you need two things: the slope and the y-intercept.

The slopes of parallel lines are the same. So we can find the slope of the new line by finding the slope of the first line. To do that, we need to put it in y=mx+b format, where m is the slope. So we must rearrange the 7x+3y=10. First subtract 7x from both sides to make it look like:
[tex]3y=10-7x[/tex]
Then divide both sides three:
b[tex]y= \frac{10}{3} - \frac{7}{3} x[/tex]
So now that it's in y=mx+b format, we can now see that the m= - \frac{7}{3}

Now we know the m of the new equation, we need to find the b, or the y-intercept. To do this, we can plug the point we have and the m value into the y=mx+b format.
[tex](-11)=- \frac{-7}{3} (-1) + b[/tex]
Solving this, we can subtract 7/3 from both sides:
[tex]-11- \frac{7}{3} = b[/tex]
Therefore, b= [tex]-13 \frac{1}{3} [/tex]

Plugging the m= - \frac{7}{3} and the b= [tex]-13 \frac{1}{3} [/tex] back into the y=mx+b format, your parallel line is y=- \frac{7}{3} [tex]-13 \frac{1}{3} [/tex].

Related Questions

Which expression shows the distance on the number line between −7 and 16?

a) |−16−(−7)|

b) |−7+16|

c) |7−16|

d) |−7−16|

Answers

Final answer:

The correct expression to find the distance on the number line between -7 and 16 is |16 - (-7)|, which equals 23 units. The distance is always a positive number.

Explanation:

The expression that shows the distance on the number line between −7 and 16 is |16 - (-7)|.

To find the distance between two points on a number line, subtract one point from another and take the absolute value of the result. This ensures the distance is positive, as distance cannot be negative. Hence, the correct expression is:

|16 - (-7)| = |16 + 7| = |23| = 23

So, the distance between the points is 23 units.

the sales tax on a piece of furniture that cost 450 dollars was 28.13 dollars what was the percent tax sales

Answers

The sales tax on this piece of furniture is approximately 0.06%

Find 3 consecutive integers such that the sum of the 2 largest integers is equal to 14 more than the smallest

Answers

Here is the set up:

x + 1 + x + 2 = x + 14

2x + 3 = x + 14

Solve for x.

2x - x = 14 - 3

x = 11

The three consecutive integers are

x = 11

x + 1 = 12

x + 2 = 13

A submarine is at 89 feet below the surface of the ocean. If it descends another 42 feet, what will be it’s position in relation to the surface?

Answers

add the 2 numbers:

89 + 42 = 131 feet below the surface,

which can also be written as -131 feet

How can 36/6 be expressed as a decimal?

Answers

The answer is 6...
I guess if you wanted it to be a decimal you could do 6.0

Hope this helped!

No, it can't. Because, 36/6 = 6
Since the numerator divided by the denominator is a whole number, it would not be expressed as a decimal.

I hope this helps!

Nic bought 12 pens for 2$ each and 12 pads of paper for 3$ each. Write two expressions for how Nic could calculate his total. Write one expression in expanded form and one in factored form.

Answers

when pens is x and pads are y: x+y=24, and 12(3)+12(2)=total. I hope that will help you get started.

I agree, that’s the anwser

the sum of two numbers is 55 and the difference is 9. what are the numbers?

Answers

x + y= 55
x - y= 9
y = 23
x = 32

the numbers are 23 and 32

Difference is 9: x-y=9
From the second equation x=9+y (substitute that into the first equation to solve for y).
9+y+y=55

2y=46

y=23. (Substitute that back into the second equation to find x.)
x=9+y = 23+9 = 32.
23+32 = 55 (Check).

Factorise x^(2) + 8x +7

Answers

(X+1)(x+7)
Hope this helps

At a discount furniture store, chris offered a salesperson $600 for a couch and a chair that offer includes the 8% sales tax if the salessperson accepts the offer what would would be the price of the furniture to the nearest dollar before tax

Answers

600 - 8%
600-0.08=552

600/ 1.08 = 555.56

round to nearest dollar = $556 before tax

(1.0395)(10)^9 in standard notation

Answers

1.0395 *10^9

Hope that Helps!

Would appreciate for brainiest answer.

1.0395(10)6^9 or 1.039500000

An outlier always affects the mean.true or false

Answers

This statement would be True

false because it just doesn't make sense

Write an expression for the perimeter of the triangle shown below:

A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.

4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29

Answers

4.1x +29

Hope this helps!! :)

Liz earns a salary of $2100 per month, plus a commission of 5% of her sales. Se wants to earn at least $2400 this month. Write an inequality to find amounts of sales that will meet her goal. Identify what your variable represents.

Answers

2100 + 0.05(x) >= 2400
(greater than or equal to)
X represents her sales

Find the equation of a line that is parallel to the line x= -14 and contains the point (-4,2)

Answers

Two lines that are parallel have the same slope.

The given line, x = -14, is a vertical one. Its slope (rise/run) is undefined due to division by zero. Any line parallel to x = -14 is also vertical. Since the new line goes through (-4,2), the equation of the new line is x = -4.

Final answer:

The equation of the line that is parallel to x = -14 and passes through the point (-4, 2) is x = -4.

Explanation:

The line x = -14 is a vertical line. Any other line parallel to it would also be a vertical line. The equation of a vertical line in the 2-dimensional coordinate space takes the form x = k, where k is a constant. To find the equation of a line that is parallel to x = -14 and passes through the point (-4, 2), we just need to substitute the x-coordinate of the point into the equation, resulting in x = -4.

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A carpenter uses 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough to build 6 more bookcases.

Answers

Hello There!

First work out the number of shelves per bookcase:
65/13 = 5
It is 5 shelves per bookcase.
6 x 5 = 30.
Therefore 32 shelves are enough to make 6 bookcases.

Hope This Helps You!
Good Luck :)

- Hannah ❤

65/13 = 5

6 x 5 = 30

yes, it is enough

Evaluate the expression, using the given value of the variable. z ÷ 2 – 4z + 3(z – 3) when z = 8 A. –17 B. –13 C. –7 D. –1

Answers

I believe the answer is B.

What is the simplified fraction form of -1/4 x (-6/11)

Answers

the answer is 3/22

Hope this helps

Help please

Match each point with one of the following fractions

3/4,1/4,7/16,5/8

A=5/8,B=1/4,C=3/4,D=7/16
A=1/4,B=5/8,C=7/16,D=3/4
A=3/4,B=1/4,C=5/8,D=7/16
A=1/4,B=7/16,C=5/8,D=3/4

Answers

A = 1/4 (0.25)
B = 7/16 (0.4375)
C = 5/8 (0.625)
D = 3/4 (.75)

the last option is your answer

A fraction is a way to describe a part of a whole. The correct option is D.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

To arrange the given fraction simply the given fraction as shown below.

3/4 = 0.75

1/4 = 0.25

7/16 = 0.4375

5/8 = 0.625

Since it can be seen that the points are arranged on the number line, therefore, the first point will have the least value, while the last point will have the maximum value.

Therefore, each point can be written in the fraction form as,

A = 0.25 = 1/4

B = 0.4375 = 7/16

C = 0.625 = 5/8

D = 0.75 = 3/4

Hence, A=1/4,B=7/16,C=5/8,D=3/4.

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What process do you use to find the percent change of a quantity?

Answers

Answer:

You used multiplication.

Step-by-step explanation:

a triangle with angles X(-6,1), Y(4,0), Z(1,3) is translated left 9 and up 12 . What are the new coordinates of the triangle

Answers

X= (-15,13)
Y= (-5, 12)
Z= (-8, 15)

the population of foxville was about 12 times 10 to the third power of people which is another way to write this number

Answers

The population of Foxville is...
12×10³

Another way your problem is this 12*1000

geometry homework please help

Answers

let's start with triangle UVT, in this triangle we have UV = VT, therefore, measure angle VUT is equal to measure angle VTU.
we also know that measure angle UVT = 20°
thus, angle VUT + angle VTU = 180-20=160°
since these two angles are equal, each of them will measure 160/2=80°

now, we have measure anglr RUT=90° and measure angle VUT=80°, therefore,
measure angle VUR = 90-80=10°

The right answer is A

If f(x) = −5x + 11 and f(n) = 21, what is the value of n?

Answers

f(n) = -5n + 11
21 = -5n + 11
10 = -5n
n = -2

n=-2

It may help you visualize what this question is asking for if you let x = n in f(x)= -5x+11.

Let x = n

f(n) = -5n + 11
21 = -5n + 11
10 = -5n
n = -2

(-20)-4.6n=-2.3n+16.8
SHOW YOUR WORK

Answers

Let's solve your equation step-by-step.−20−4.6n=−2.3n+16.8Step 1: Simplify both sides of the equation.−20−4.6n=−2.3n+16.8−20+−4.6n=−2.3n+16.8−4.6n−20=−2.3n+16.8Step 2: Add 2.3n to both sides.−4.6n−20+2.3n=−2.3n+16.8+2.3n−2.3n−20=16.8Step 3: Add 20 to both sides.−2.3n−20+20=16.8+20−2.3n=36.8Step 4: Divide both sides by -2.3.−2.3n−2.3=36.8−2.3n=−16Answer:n=−16

Will give brainliest for correct answer! easy algebra

Answers

11
That should be the answer

Describe the solutions of 4 + n > −2 in words.

The value of n is a number less than −6.
The value of n is a number greater than or equal to −7.
The value of n is a number equal to −7.
The value of n is a number greater than −6.

Answers

Final answer:

The solution to the inequality 4 + n > -2 is n > -6. This means the value of n can be any number that is greater than -6.

Explanation:

The inequality 4 + n > -2 can be solved to find the solution for 'n.' Start by subtracting 4 from each side of the inequality to isolate 'n.'

Here's the step-by-step calculation: 4 + n > -2 becomes n > -6 when we subtract 4 from both sides.

So, the value of n is any number that is greater than -6. In other words, n can be just a little bit more than -6, -6.01 for example, or it can be a much larger number, like 1, 100, or 1000, etc.

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Describe how to model -3x + 7= 28 with algebra tiles

Answers

You would put three x`s with a negative sign and then you will add 7 positives and 28 positives

Joseph says that in the number 9,999,999,all the digits have the same value?Is Joseph correct? explain

Answers

no because the first nine means 9,000,000 (nine million)and the last nine means just 9 meaning the first"nine's" value is a lot greater

Joseph is not correct.

What is place value?

- Any number formed from some digits, each digit has a place value.

- For example : 1,234 this number formed from 4 digits

The place value of 4 is ones ⇒ 5

The place value of 3 is tens ⇒ 40

The place value of 2 is hundreds ⇒ 300

The place value of 1 is thousands ⇒ 2,000

1,234= 1,000 + 200 + 30 + 4

Now the given number is 9,999,999

Now the place value of each digit is given as,

∵ The number formed from 7 digits

- The place value of the leftmost digit is millions

- The place value of the digit before the million is hundred thousands

- The place value of the digit before the hundred thousands is

ten thousands

- The place value of the digit before the ten thousands is thousands

- The place value of the digit before thousands is hundreds

- The place value of the digit before hundreds is tens

- The place value of the digit before tens is ones

∴ 9,999,999 = 9,000,000 + 900,000 + 90,000 + 9,000 + 900

+ 90 + 9

∴ Each digit from the leftmost digit is ten times the digit before it

Hence, Joseph is not correct.

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The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when the width y is 11 units

Answers

yes it can hope it helps you if not sorry

I am an odd number, I am less than 100, the sum of my digits is 12, I am a multiple of 15. What number am I

Answers

Final answer:

The number is 75, which satisfies all given conditions: it is an odd number, less than 100, a multiple of 15, and the sum of its digits is 12.

Explanation:

To find an odd number that is a multiple of 15, less than 100, and has a sum of digits that equals 12, we must first consider that multiples of 15 end with a 5 or 0. Since the number is odd, it must end with a 5. Additionally, the number must be less than 100, so we are looking for a two-digit number.

We know the sum of the digits is 12, and since the last digit is 5, the first digit must be 7 to reach a sum of 12 (7+5=12). This means the number we are looking for is 75, which is indeed a multiple of 15, less than 100, has a sum of digits equal to 12, and is an odd number.

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