Find the equation of the line that has a slope of 2
and passes through the point (1, 7).

Answers

Answer 1

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{7})\qquad \qquad \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{2}(x-\stackrel{x_1}{1}) \\\\\\ y-7=2x-2\implies y=2x+5[/tex]


Related Questions

What is the center of a circle represented by the equation (x 9)2 (y−6)2=102?.

Answers

comparing to circle equation
(x-h)^2 + (y-k)^2 = r^2 we get

Center of the circle (h,k) = (9 ,6 )

or (-9,6) If the original equation is (x-9)^2 + (y-6)^2 =102

Please leave a like If it helps :)

Answer:(-9,6)

Step-by-step explanation:

I got it right on the e2020 course

Hope it helps:)

choose the best deciaml to represent 3 5/9

Answers

Answer:

A

Step-by-step explanation:

3x9 = 27

27+5 = 32

32/9 = 3.5 (w/dash above head)

PLEASE HELP 100 POINTS BRAINLIEST

Answers

Answer:

1044cm²

Step-by-step explanation:

first split the polygon into two shapes

46-21=25

so the length of a shape is 25

so 30x25=750

then 21*14=294

then 750+294=1044cm²

Answer:

1044 cm²

Step-by-step explanation:

Subdivide the polygon into two rectangles by drawing a vertical line from the interior vertex of the L-shape.

Area of a rectangle = width x length

⇒ area of largest rectangle (left) = (46 - 21) x 30 = 750 cm²

⇒ area of smallest rectangle (right) = 14 x 21 = 294 cm²

Total area of shape = 750 + 294 = 1044 cm²

Triangle ABC is dilated to get triangle A'B'C'. Which is the length of A'B'?
3
4
5
16

Answers

Answer: B

Step-by-step explanation:

The scale factor of the dilation is A'C' / AC = 5/10 = 1/2.

So the length of A'B' = 8(1/2) = 4.

PLEASE HELP A cereal box has a rectangle base with an area of 15 square inches. Its volume is 165 cubic inches. What is the height of the box?
A. 11 inches
B. 13 inches
C. 9 inches
D. 15 inches

Answers

Answer:

A. 11 inches

Step-by-step explanation:

All you have to do is dived 165 by 15

Answer:

A.11 inch

Step-by-step explanation:

i took the test!!!

The mean of 5 numbers is 8.
The numbers are in the ratio 1 : 1 : 2 : 3 : 3
What’s the biggest number possible

Answers

Answer:

If 8 is the mean of 5 numbers, which are in the ratio 1:1:2:3:3, then the biggest number is 12

Step-by-step explanation:

ALL MY POINTS HERE PLS HELP I WILL GIVE BRAINLEST ANSWER TO FIRST WHO WILL ANSWER PLS HELP

Answers

Answer:

I took a screenshot of my answer

Step-by-step explanation:

hope it helps <3

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The answers are (9+12)÷(3+4)÷(2+1)·2 = 2, (9+12÷3)+(4÷2+1·2) = 8, (9+12)÷3+(4÷2)+(1·2) = 11 and (9+12)÷(3+4)÷(2+1·2) = 12.

What is an expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given are the expressions, we need to put the parentheses to equate the values,

1) 9+12÷3+4÷2+1·2 = 2,

9+12 = 21, 3+4 = 7, 1+2 = 3

(9+12)÷(3+4)÷(2+1)·2 = 21 ÷ 7 ÷ 3 · 2 = 2

(9+12)÷(3+4)÷(2+1)·2 = 2

2) 9+12÷3+4÷2+1·2 = 8

(9+12) = 21, (2+1·2) = 6

(9+12÷3)+(4÷2+1·2) = 21 ÷ 3 + 1 = 8

(9+12÷3)+(4÷2+1·2) = 8

3) 9+12÷3+4÷2+1·2 = 11

9+12 = 21, 4÷2 = 2, 1·2 = 2

(9+12)÷3+(4÷2)+(1·2) = 21 ÷ 3 + 2 +2 = 7 + 2 + 2 = 11

(9+12)÷3+(4÷2)+(1·2) = 11

4)  9+12÷3+4÷2+1·2 = 12

(9+12)÷(3+4)÷(2+1·2) = 12

Hence, the answers are (9+12)÷(3+4)÷(2+1)·2 = 2, (9+12÷3)+(4÷2+1·2) = 8, (9+12)÷3+(4÷2)+(1·2) = 11 and (9+12)÷(3+4)÷(2+1·2) = 12.


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the price of a basketball is 24.00$ plus 8% sales tax what is the tax on this basketball in dollars and cents

Answers

Answer: The sales tax is $1.92

Step-by-step explanation: Multiplying 24 with 0.08 (percentages that are single digits are 0.0_) will get you $1.92

The total price will be $25.92 (24 + 1.92 = 25.92)

The student population of a school is made of 250 girls and 200 boys. What is the ratio of boys to girls?​

Answers

250/200 = 5/4 (for simplest form) (keep in mind that this is girls to boys, so you need to flip it)
Hence, 4:5 is the ratio of boys to girls

please man
please help me

Answers

Answer:

34.65 dollars

Step-by-step explanation:

multiply the 75 by .45 to get the new price

Lynn says that the product of 4/5 and 5/2 is greater than 4/5 which statement is tre

Answers

Answer:

5/2 is greater.

Step-by-step explanation:

it was right on my test

you put $750 into a saving account that earns 2% simple annual interest how long will it take to have $45 in interest help asapppp

Answers

Answer:

3 years Ans

Step-by-step explanation:

Given that,

si= ptr/100

45=750t×0.02

t= 3 years Ans

A guest on a talk show tends to receive many phone calls right after she is on the show, and then the calls become less frequent. This can be represented by the equation y = 30(0. 92)d, where y is the number of phone calls after d days. How many phone calls should she expect after a week? a. 28 c. 17 b. 23 d. 2.

Answers

Answer:

Yo ima tell you it straight the answer is B

Step-by-step explanation:

Ye

(20x+16)°
(21x+11)º
What is the value of x?

Answers

Simplify
(20x + 16) = (21x + 11)

Reorder the terms:
(16 + 20x) = (21x + 11)

Remove parenthesis around (16 + 20x)
16 + 20x = (21x + 11)

Reorder the terms:
16 + 20x = (11 + 21x)

Remove parenthesis around (11 + 21x)
16 + 20x = 11 + 21x

Solve
16 + 20x = 11 + 21x

Add '-21x' to each side of the equation.
16 + 20x + -21x = 11 + 21x + -21x

Combine like terms: 20x + -21x = -1x
16 + -1x = 11 + 21x + -21x

Combine like terms: 21x + -21x = 0
16 + -1x = 11 + 0
16 + -1x = 11

Add '-16' to each side of the equation.
16 + -16 + -1x = 11 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 11 + -16
-1x = 11 + -16

Combine like terms: 11 + -16 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplify
x = 5

Pls Help. Just need a little help on the problem need to know how to find the answer and help getting the answer pls and thank you

Answers

The number of small paper clips in each box

PLEASSEEE HELP i don't know how to solve it

Answers

E, B
I just did it and got the same answer :)

an angle whose measure is more than 90 but less than 180 is called an obtuse angle​

Answers

Answer:

That's correct

Step-by-step explanation:

Yes that is correct

what is half of 9 minutes 28 seconds

Answers

Answer : 4.73333333 Minutes

Explanation: Divide

◊ YusuCr ◊

Hey there!

1 minute = 60 seconds

9 minutes = 9 × 60 = 540 seconds

9 min + 28 secs

= 540 + 28

= 568 secs

½ of 568 = 284 secs

284 secs

= 284/60

= 4 min 7333... sec

Hope it helps ya!

Problem 3: Two rectangular gardens are made from 200 yards of fencing. The
gardens are planted beside each other so they share a common fence. If the
farmer wants the total area of the gardens to be as large as possible, what
dimensions should be used to make the gardens, and what will the largest area
possible be?

Answers

The area of a shape is the amount of space on the shape

The largest possible area of the garden is 1666.67 square yards

How to determine the maximum area

Represent the length of the gardens with y, and the widths of the whole garden with x.

So, the perimeter of the garden is:

[tex]P = 3y + 2x[/tex]

The farmer has 200 yards.

So, we have:

[tex]3y + 2x= 200[/tex]

The area of the garden is:

[tex]Area = xy[/tex]

Divide the amount of fencing equally to maximize the area.

So, we have:

[tex]3y + 2x = 100 + 100[/tex]

This gives

[tex]3y = 100 \to y = \frac{100}3[/tex]

[tex]2x = 100 \to x = 50[/tex]

Recall that:

[tex]Area = xy[/tex]

So, we have:

[tex]Area = 50 * \frac{100}3[/tex]

Evaluate the product

[tex]Area = \frac{5000}3[/tex]

[tex]Area = 1666.67[/tex]

Hence, the largest possible area of the garden is 1666.67 square yards

Read more about areas at:

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55 less than a number n is equal to the product of 25 and -18. What is the number?

Answers

Answer:

-395

Step-by-step explanation:

n - 55 = 25 * (-18)

n - 55 = -450

so

n = -450 + 55 = -395

Answer:

n - 55 = 25 x (-18)

n - 55 = -450

+55        +55

n = -395

Evaluate the expression for x = 1. 7. Enter your answer in the box. X2 3x.

Answers

The expression is [tex]x^2 + 3x[/tex]. The value of the given expression for x= 1.7 is 7.99.

What is the expression?

The expression is defined as a set of terms combined using the operations addition, subtraction, multiplication, or division.

The given expression is [tex]x^2 + 3x[/tex].

The value of expression for x = 1.7 is calculated as given below.

Put x = 1.7 in the expression,

[tex](1.7)^2 + 3\times 1.7[/tex]

[tex]2.89 + 5.1[/tex]

[tex]7.99[/tex]

The value of expression x^2 + 3x for x= 1.7 is 7.99.

To know more about the expressions, follow the link given below.

https://brainly.com/question/13947055.

complete the two-column proof below.​

Answers

Answer:

Step-by-step explanation:

What is area? How do you find the area of a rectangle?

Answers

Answer:

The extent or measurement of a surface or piece of land is called area.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Step-by-step explanation:

Hope this will help you

please make me as a brainliest

Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

Area of rectangle : length × breadth

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 100 models the data in the table. A 2-column table with 5 rows. The first column is labeled time (seconds) with entries 0, 0. 5, 1, 2001. 5, 2. The second column is labeled height (feet) with entries 100, 96, 84, 65, 37. For which value of x would this model make the least sense to use? –2. 75 0. 25 1. 75 2. 25.

Answers

The given model would make the least sense to use for x=-2.75.

the given function is:

[tex]h(x)= -16x^2 +100[/tex]

a quadratic relationship,

where

h is the height in feet

x is the time in seconds

what is kinetic energy?

Kinetic energy is a form of energy that an object or a particle has by reason of its motion.

as we know that time always appears to run forward, never backward. cannot take negative values so option 1 i.e 2.75 is not possible. Also, after a certain period of time object will vanish all its kinetic energy, resulting in h=0 but h(-2.75)= -21 which is meaningless.

h(-2.75) = [tex]-16*(-2.75)^2+100 = -21\\[/tex]

h(0.25) = [tex]-16*0.25^2 +100=99[/tex][tex]-0.25^2*16+100=99[/tex]

h(1.75) = [tex]-16*1.75^2+100=51[/tex]

h(25) = [tex]-16*2.25^2+100= 19[/tex]

therefore, x=-2.75 this model would make the least sense to use

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0. 3, 0. 5, 0. 9, 1. 1What are those numbers put in order?

Answers

Answer:

0,0,0,1,3,5,9 I put it in order

What is the coefficient in the following expression: 5 + 3x + (-3) A) 5 B) 3 C) x D) -3

Answers

Answer:

B) 3

Step-by-step explanation:

If it was right please mark me brainleist.

Using the diagram below, find CB in decimal form.

Answers

Answer:

look at the picture i have sent

A plane travels a distance of 16,000 km in a time of 2.5 hours.
What is its average speed rounded to the nearest whole number?

(Source: HegartyMaths clip number 716)

Answers

Answer:

Step-by-step explanation:

v (speed/velocity) = d (distance)/t (time)

v = 16000/2.5

v = 6400km/h

Determine the formula, in terms of x, that best describes the area of the plot.​

Answers

The area of a plot is the amount of space on the plot

The area of the plot is 2x^2 -x - 1

How to determine the area

The dimensions of the plot are given as:

Length=2x+1

Width=x-1.

The area of the plot is the product of its dimension.

So, we have:

[tex]Area = (2x + 1)(x - 1)[/tex]

Expand

[tex]Area = 2x^2 - 2x + x - 1[/tex]

Evaluate the like terms

[tex]Area = 2x^2 -x - 1[/tex]

Hence, the area of the plot is 2x^2 -x - 1

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Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The graph of the inequality 4x + 2y ≤ 20, which represents the situation, is shown.

What is the greatest number of binders Eula can buy?

What is the greatest number of notebooks Eula can buy?

If Eula buys 7 notebooks, what is the greatest number of binders she can buy?

Answers

Answer:

20 ÷ (4x +2y) is your answer

Answer:

What is the greatest number of binders Eula can buy? Answer=5

What is the greatest number of notebooks Eula can buy? Answer=10

If Eula buys 7 notebooks, what is the greatest number of binders she can buy? Answer=1

Step-by-step explanation:

EDGE. 2022

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