What is the equation of the line that passes through the point (8,1) and has a slope
of –3/4?

Answers

Answer 1

Answer:

[tex]y=-\frac{3}{4}x+7[/tex]

Step-by-step explanation:

The slope is already given as [tex]-\frac{3}{4}[/tex] so all we have to do is solve for y-intercept

First, write the equation in slope-intercept form

[tex]y=-\frac{3}{4}x+b[/tex]

Next, use the point to substitute the x and y value and solve for the y-intercept

[tex]y=-\frac{3}{4} x+b[/tex] where b = y-intercept

point: (8, 1)

[tex]1=-\frac{3}{4}(8)+b[/tex]

Then multiply 8 and -3/4

[tex]1=-6+b[/tex]

Finally, solve for the b (y-intercept)

b = [tex]1--6[/tex]

b = 7

so the y-intercept is 7

And the equation of the line that passes through the point (8, 1) and has a slope of -3/4 is [tex]y=-\frac{3}{4}x+7[/tex]


Related Questions

How many terms are in the following polynomial provided below? (give a
numerical value as answer - i.e., 10)*
3x2 – 2y + 8x – 16

Answers

Answer:

4

Step-by-step explanation:

A term is a constant or variable or product of constant and variables

3x²    ----> term 1

-2y  ------> term 2

+8x  ------->  term 3

-16   -------> term 4

Vertical Stretch of 7, up 8, reflect over the x axis???

Answers

Answer:

f(x) = -(7x) + 8

Step-by-step explanation:

The negative on the outside reflects over the x-axis.

The 7 on the inside stretches the function vertically.

The +8 on the outside moves the function up 8.

can someone help me with this question?​

Answers

Answer:

128 grains.

I think so..

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Answer:

Step-by-step explanation:

[tex]u_1=1=2^0\\u_2=2=2^1\\u_3=4=2^2\\u_4=8=2^3\\\\...\\u_{64}=2^{63}\\\\we\ must\ calculate\\\\u_1+u_2+u_3+u_4+...+u_{64}\\\\=1+2^1+2^2+2^3+2^4+....+2^{63}\\\\=\dfrac{2^{64}-1}{2-1} \\\\=2^{64}-1\\\\=18446744073709551615\\\\=1.8446744073709551615*10^{19}[/tex]

I'm sorry to bother. I really can't understand this and my teacher isn't offering help after school today. Could someone help? I've already done 5-8 ​

Answers

Answer:

Step-by-step explanation:

is this involved with the pythagorean angles?\

Each polygon is divided into a number of triangles. Find the number of triangles if the number of sides in a polygon is: (a) 6

Answers

Answer:

4 triangles

Step-by-step explanation:

the number of triangles in a polygon is (the number of sides in the polygon - 2)

The number of triangles inside a polygon with six sides are 4.

What is a polygon? What is a mathematical function, equation and expression?               polygon : A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that the number of sides in a polygon is 6.

If the polygon has {n} sides, then the number of triangle in a polygon is → (n – 2).For n = 6, the number of triangles would be - (6 - 2) = 4

Therefore, the number of triangles inside a polygon with six sides are 4.

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Taylor has a bank account earning 5 percent interest compounded annally. If her initial deposit was a 1,000, and she makes a withdrawal of $200 after 3 years, which of the following represents the total amount in her account after 7 years.
(A) 1,000 (1.05)^7- 200
(B) 1,000 (1.05)^3 + 800(1.05)^4
(C) 1,000 (1.05)^3 -200( 1.05)^4
(D) 1,000(1.05)^7 - 200(1.05)^4​

Answers

I think the answer to this question is (c)

(4-xy)(5x-3y)-(x+y)(x-3y)

Answers

Answer:

20x-12y-5x²y+3xy²-x²+2xy+3y²

Step-by-step explanation:

(4-xy)(5x-3y)-(x+y)(x-3y)

20x-12y-5x²y+3xy²-(x+y)(x-3y)

20x-12y-5x²y+3xy²-x²+2xy+3y²

Sonia finished the 200-meter dash in 26.12 seconds. Gladys finished the 200-meter dash 1.08 seconds
faster than Sonia. How long did it take Gladys to run the 200-meter dash?
O 25.04 seconds
O 26.20 seconds
O 27.04 seconds
O 27.20 seconds

Answers

Answer:

25.04

Step-by-step explanation:

26.12-1.08

=25.04

Answer:

25.04

Step-by-step explanation:

For this problem we have to use subtraction

If Sonya finished the dash is 26.12 seconds and Gladys finished it 1.08 seconds faster, we have so subtract 26.12 by 1.08 to get her time

So we get 25.04

Hope this helps! :D

10
16. There are 36 tables set up for the graduation reception. Each table is
8 feet long. The tables will be covered with paper tablecloths that extend
an extra 3 inches over each end (so they can be taped underneath). What
is the total length of paper needed to cover all the tables?

Answers

We have that the total length of paper needed to cover all the tables is

[tex]X=288.5ft[/tex]

From the question we are told that:

Number of tables [tex]n=36[/tex]

Length of table[tex]l=8[/tex]

Extension [tex]e=3 inch =>0.25feet[/tex]

Generally, the equation for the Total length  tables is mathematically given by

[tex]l_t=n*l\\\\l_t=36*8[/tex]

[tex]l_t=288ft[/tex]

Therefore with an extension of 0.25ft at both end we have the Total length of  tablecloths to be

[tex]X=l_t+2(e)\\\\X=288ft+2(0.25)[/tex]

[tex]X=288.5ft[/tex]

In conclusion

The total length of paper needed to cover all the tables is

[tex]X=288.5ft[/tex]

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9/x + 2 = 20

WAHT IN THE WORLD? HOWWWW?!

Answers

Answer:

1/2 =x

Step-by-step explanation:

9/x + 2 = 20

Subtract 2 from each side

9/x + 2-2 = 20-2

9/x =18

Multiply each side by x

9/x *x = 18*x

9 = 18x

Divide each side by 18

9/18 = 18x/18

1/2 =x

c) Convert 120 into quinary equivalent.​

Answers

Assuming 120 is a base 10 numeral, then

120 = 100 + 20 = 4×5² + 4×5¹

so you have

120₁₀ = 440₅

2. When a number n is subtracted from 18
and the difference is divided by n, the
result is 2. What is the value of n?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 14

Answers

Answer:

e) 14

Step-by-step explanation:

(18-n)/2 = 2

18-n = 4

-n = -14

n = 14

The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.

What is Algebra?

The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.

Given:

When a number n is subtracted from 18

=(18- n)

and, the difference is divided by n

=(18 - n)/n

so, result is 2

(18 - n)/n = 2

18 - n = 2n

3n = 18

n= 18/3

n= 6

Hence, the value of n is 6.

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I need help from big brain

Answers

4 times because they have the same denominator and 8 divided by 2 is 4

Answer:

[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If you are asking how many times does 8/3 goes into 2/3 then this means 8/3 is the dividend. The dividend is the number that is being divided by another number. This means the answer would be 8/3 divided by 2/3. I hope this makes sense.

I hope this helps :). If you have any questions let me know. Have a good day.

Tomas works as an underwater photographer. He starts at a position that is 19 feet below sea level. He rises 8 feet, then descends 18 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

Answer:

-19 + 8 - 18 = -29

he is 29 feet below sea level when he takes the photo

Step-by-step explanation:

How many solutions does this equation have?

–3h = 1 − 3h

Answers

None.

-3h cannot equal -3h + 1.

No matter what you pick for h, the two sides will always be 1 unit apart.

Last question pls help then i will give away al points pls help.

Answers

Answer: i give up typing essays ill just give it to you straight azure clicks per second is 8.5 or 17/2

bronze click per second is 9.5 38/4

crimsons time is 2.28 i guessed the closest and used a calulator good thing i learned this recently

clicks for desert is 34.9 or 35 not too clear but 34.9 is closer but you can choose i got this from guesing the division and i got 35/4.2 and 34.9/4.2

emeralds time is 0.40 3/.40 or 3/0.40

clicks for the last one or fuscia is 6 6/0.70 is well 8 gawd dammit you made me rite anotha essay

1.How many semi-circles are there in a circle?

2.How many quadrants form a circle?

3.Which line touches a point on the circumference of the circle?

4.The line touching the inside circumference of the circle is called the _______.

5.The part of the circle enclosed by two radii inside the circle is known as the ______.

6.The distance around the circle is the ________.

7.Which is the longest chord in the circle?

8.The _______ is same as the perimeter of a rectangle.​

Answers

Answer:

1. 2semicircle

2. 4 quadrant

3. tangent

4.chord

5.The region enclosed by two radii and an arc of a circle is called the sector of a circle.

6. The distance around the circle is called circumference.

7.Diameter is the longest chord of the circle..

8.The perimeter of sum of all the side lengths of a shape. is same

I need the perimeter of this triangle. Round to the nearest tenth. Quickly please

Answers

Answer:

The perimeter of the triangle is about 17.1 units.

Step-by-step explanation:

The perimeter of a triangle is the sum of its three side lengths.

We can see that the two legs of the triangle both measure five units.

To find the third segment, we can use the Pythagorean Theorem since the x-axis is perpendicular to the y-axis. Recall that:

[tex]a^2 + b^2 = c^2[/tex]

Where a and b are the two legs and c is the hypotenuse.

Our two legs are 5 and 5. Hence:

[tex](5)^2 + (5)^2 = c^2[/tex]

Solve for the hypotenuse:

[tex]\displaystyle \begin{aligned} c &= \sqrt{(5)^2 + (5)^2} \\ &= \sqrt{2(5)^2} \\ &= 5\sqrt{2}\end{aligned}[/tex]

Hence, our perimeter will be:

[tex]\displaystyle P = 10 + 5\sqrt{2} \approx 17.1 \text{ units}[/tex]

In conclusion, the perimeter of the triangle is about 17.1 units.

I need help with my homework pls somone help….

Answers

Answer:

x > 9

Step-by-step explanation:

since the dot is open there won't be a line under

Can some one help mẹ pls....

Answers

Answer:

h(2) or h(g(4)) = -28

Step-by-step explanation:

g(t) = t - 2,

g(4) = 4 - 2,

g(4) = 2

h(t) = -3t³ - 2t,

h(2) = -3(2)³ - 2(2),

h(2) = -24 - 4,

h(2) or h(g(4)) = -28

Which of the following is true ?
Select one:
O a. 70<7-3
O b. 4-5<4-3
O c. 5-2 <5-3
O d. 25223

Answers

Answer:

b. 4 - 5 < 4 - 3

Step-by-step explanation:

a. 70 < 7 - 3

   70 < 4

false, 70 is not greater than 4

b. 4 - 5 < 4 - 3

   - 1 < 1

true, 1 is greater than -1

c. 5 - 2  < 5 -3

    3 <  2

false, 2 is not greater than 3

d. 25223

?

hope this helps! if you have any questions, let me know!

PLEASE HELP!! 3 IN 1

1.solve and simplify 2/7 Divided by 4/5

2. Convert the fraction to a decimal 38/333

3. Convert the fraction to a decimal 12/111

Answers

Answer:

1. D

2.B

3.0.1081 (the one with a line over it)

Find the smallest number that must be added to 7653 to make it a perfect square? Explain.

Answers

9514 1404 393

Answer:

  91

Step-by-step explanation:

√7653 is about 87.48

The next largest perfect square is 88^2 = 7744. The value that must be added to 7653 to get 7744 is ...

  7744 -7653 = 91

Adding 91 to 7653 will make it a perfect square.

If x≠0, which expression is equivalent to this expression?

Answers

Answer: [tex]x^{2/3}[/tex]

Step-by-step explanation:

Here radical rule is that [tex]\sqrt[n]{x^{m} } = x^{m/n}[/tex]  ;  [tex]x\neq 0[/tex] so

[tex]\sqrt[4]{x^3} = x^{3/4}[/tex]

>>[tex](x^{3/4})/x^{1/12}[/tex]

>>[tex]x^{2/3}[/tex]

A farmer has 180 bushels of apples for sale at a​ farmer's market. He sells an average of 15 3/4 bushels each day. After 6 ​days, what is the change in the total number of bushels the farmer has for sale at the​ farmer's market?

Answers

If the farmer sells an average of 16 3/4 bushels each day, then after 6 days the farmer would have sold

16 3/4 * 6

We can rewrite the mixed number 16 3/4 as an improper fraction for easier multiplication

16 3/4 = 67/4, so

16 3/4 * 6 = 67/4 * 6

67/4 * 6 = 67/4 * 6/1 = 402/4 = 100 2/4 = 100 1/2 bushels sold after 6 days

If the farmer began with 180 bushels, then after 6 days the farmer has

180 - 100 1/2 = 79 1/2 bushels

If I start at 6:05 and end at 3:30. How much time is that.

Isn’t is 2 hours and 25 minutes or 2 hours and 34 minutes?

Answers

Answer:

The answer is 9 hours and 25 minutes

Step-by-step explanation:

if it starts at 6:05 am and then ends at 3:30 pm then thats 9 hours in total and 25 minutes

hope that helps>3

No it would be 9 hours and 25 minutes because it can’t be two hours since you started at 6:05 two hours later would be 8:05.

Which of these represents a whole number?
3.2 , 4, 8/4, 4/7

Answers

Answer:

4

Step-by-step explanation:

a whole number is a number with no fraction

4 is a whole number.

What is whole number?

Whole Numbers The numbers contain natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer.

A whole number exists simply as any positive numeral that does not contain a fractional or decimal part. This indicates that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 exist as all whole numbers. Numbers such as -3, 2.7, or 3 ½ stand not whole numbers.

Hence, 4 is a whole number.

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3(b − 6) = 9

b =
The test is timed

Answers

Answer:

b = 9

Step-by-step explanation:

3(b − 6) = 9

3b - 18 = 9

3b = 9 + 18

3b = 27

b = 9

Answer:

b = 9

Step-by-step explanation:

[tex]3(b - 6) = 9[/tex]

[tex]3(b - 6) \div 3 = 9 \div 3[/tex]

[tex]b - 6 = 9 \div 3[/tex]

[tex]b - 6 = 3[/tex]

[tex]b - 6 + 6 = 3 + 6[/tex]

[tex]b = 3 + 6[/tex]

[tex]b = 9[/tex]

I have two ice cream and I - 5 ice creams how many ice cream will be left​

Answers

Answer:

2 1/5

Step-by-step explanation:

area of square field is 617796cmsquare. find length of its each side.

Answers

Answer:

Answer is 786 cm

Step-by-step explanation:

√617796 =786

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