Find the slope of the line that passes through (-1, -1) and (98, 87).

Answers

Answer 1
Answer:    slope =  ⁸/₉  

Step-by-step explanation:      

    The question gives us two points,  (-1, -1) and (98, 87), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m)   = (y₂ - y₁) ÷ (x₂ - x₁)  

                                            = (87 - (-1)) ÷ (98 - (-1))        

                                            =  (88) ÷ (99)    

                                            =   ⁸/₉  

Checking my answer visually:  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.

                               ⇒  y - (-1) = ⁸/₉ (x - (-1)              [using the point (-1, -1)]

                                      y + 1  = ⁸/₉ (x + 1)  

 

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.  

Find The Slope Of The Line That Passes Through (-1, -1) And (98, 87).

Related Questions


Bricks are stacked according to the pattern shown below.
Each row contains one more brick than the row above it.
Part A
Determine a quadratic function to model the total number of bricks in the stack,
f(x), given a number of rows, m.

Answers

Answer:

Part A

The Quadratic Function to model the total number of bricks the stack is f(x) = x²

Part B

The number of bricks we will have for 50 rows is 2500 bricks

Step-by-step explanation:

Part A

Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c

We have;

When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0

∴ c = 0

When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1

∴ a + b = 1...(1)

When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2  = 4

∴ 4·a + 2·b = 4...(2)

Multiply equation (1) by 2, and subtract it from equation (2) gives;

4·a + 2·b - 2×(a + b) = 4 - 2 × 1

2·a = 2

a = 1

From equation (1), we have;

b = 1 - a = 1 - 1 = 0

b = 0

∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²

Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²

Part B

If there are 50 rows in the stack, then we have, x = 50

Therefore;

f(50) = 50² = 2500

The number of bricks we will have for 50 rows is f(50) = 2500 bricks

(just found it on brainly)

What's a distributive property equation the =3

Answers

Answer:

4/16 ( 1 + 11) = 3

could be many answers as fractions see below

The last fraction seems more likely out the three or make it harder fraction.

Step-by-step explanation:

1/2 (2 + 4) = 3  as 1/2 of 4 is 2            1+2 = 3  

or

1/4 (4 + 8) = 3   as 1/4 of 8 is 2           1+2 = 3

or

3/4 ( 2 + 2) = 3   as 3/4 of 2 is 1 1/2   1.5 + 1.5 = 3

or harder fraction

4/16 ( 1 + 11) = 3

What is the answer to [tex]-9(\sqrt{x} -9) -9[/tex]

Answers

−9√x+72 is the answer

Nathaniel is building a rectangular shed. The length of the shed is 5 feet less than 3 times the width. The perimeter of the shed is 158 feet. What is the width of the shed?

Answers

Answer:

w = 21 feet

Step-by-step explanation:

The width of the given rectangular shed is such that the length of the shed is 5 feet less than 3 times the width formed the perimeter of 158 feet is 21 feet.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Let's say the length of a rectangle is L while the width is W.

According to the given, L = 3W - 5

The perimeter of the rectangle is given as 2( length + width)..

Perimeter = 2(L + W)

2(3W - 5 + W) = 158

4W - 5 = 79

W = 21 feet.

Hence "The width of the given rectangular shed is such that the length of the shed is 5 feet less than 3 times the width formed the perimeter of 158 feet is 21 feet".

For more about rectangles,

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You will pay tax on a purchase of $27.89. The tax
rate is 6.5%. How much will your total be?

Answers

Your total would be $29.70:)
27.89 x 1.065= 29.70!
i got $29.70 with your tax being $1.81

The coordinates of a reflected point is (9, 4). What were the coordinates of the original point if the point was reflected over the y-axis? Explain.

Answers

Answer:

The coordinates of the original point would be (-9,4). This is because, by reflecting over the way y-axis, the point is moving across the x-axis and therefore, makes the x-coordinate negative.

how much smaller is 25 that the product -12 and -3

Answers

okay okay thank uuu i just got off my phone so

(iv). Solve: 2x⁴ - 5x³ + 7x - 3 when x = 2.

Please help me..​

Answers

Step-by-step explanation:

[tex]\longrightarrow\sf{ p(x) = 2{x}^{4} - 5{x}^{3} + 7x - 3}[/tex]

Now, substituting the value of x in equation, we get.

[tex]\longrightarrow\sf{ p(2) = 2({2})^{4} - 5{2}^{3} + 7\times 2 - 3}[/tex]

[tex]\longrightarrow\sf{ 2\times 16 - 5\times 8 + 14 - 3}[/tex]

[tex]\longrightarrow\sf{ 32 - 40 + 14 - 3}[/tex]

[tex]\longrightarrow\sf{ - 8 + 14 - 3}[/tex]

[tex]\longrightarrow\sf{ + 6 - 3}[/tex]

[tex]\longrightarrow\sf{ 3 }[/tex]

Answer:

Step-by-step explanation:

f(x) = 2x⁴ - 5x³ + 7x - 3

f(2) = 2(2^4) - 5(2^3) + 7(2) - 3

f(2) = 32 - 40 + 14 - 3

f(2) = 3

The graph below shows what happens when x = 2 and y = 2x⁴ - 5x³ + 7x - 3

Notice that the graph shows the same intersect point (2,3) as what we got when putting x = 2  into the equation.

what is 5 divided by 8,350 (long division)

Answers

Answer:

0.625

the pictures I attached are the work. the pictures are in order from 1 to 5 in red.

The product of twice a number and four is the same as the difference of seven times the number and 7/3. Find the number.

Answers

Answer:

-4/9

Step-by-step explanation:

find the equation of a line that is parallel to y= 4-x and cuts the Y axis at (0,1)

Answers

Answer:

y=-x+1

Step-by-step explanation:

y=-x+4

Substitute (0,1)

1=0+1

-1 is the gradient, if parallel then the gradient stays the same

Answer:

y = - x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept

y = 4 - x , that is y = - x + 4 ← in slope- intercept form

with slope m = - 1

The slope crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - x + 1 ← equation of parallel line

I need help! And fast !!!!

Answers

Answer:

the answer is 12

Step-by-step explanation  

i figured out that 12 times 20 is 240 so i multiplied all of the numbers by 12 and that's how i got my answer

Evaluate.

(w2x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7

Enter your answer as a simplified mixed number in the box.

Answers

Step-by-step explanation:

W=-6, x=1.2, and z=-6/7

(W²x-3)÷10-z

we substitute

((-6²)(1.2)-3)÷10-(-6/7)

((-36)(1.2)-3) ÷10-(-6/7)

(-43.2-3) ÷10(6/7)

(-46.2)÷60/7

-46.2÷60/7

-46.2*7/60

-46.2/1*7/60

-323.4/60

-5.39

Required value of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 is (-4.69)

What is the value of of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 ?

We know,

By BODMAS rule,

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

We should maintain the following sequence,

Bracket - Of - Division - Multiplication - Addition - Subtraction

We are applying BODMAS rule.

Here,[tex]( {w}^{2} x - 3) \div 10 . z[/tex] and w=−6, x = 1.2, and z=−6/7

We are putting value of w,x,z in given expression and get

[tex]( {( - 6)}^{2} \times 1.2 - 3) \div 10 ( - \frac{6}{7} ) \\ = -(36 \times 1.2 - 3) \div \frac{60}{7} \\ = -(43.2 - 3) \div \frac{60}{7} \\ = -40.2 \div \frac{60}{7} \\= -40.2 \times \frac{7}{60} = -4.69[/tex]

Therefore, Required value of the given term is (-4.69)

One more question of BODMAS rule,

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You can solve the equation 2x – 3 = 1 by graphing y = 2x – 3 and y = 1 and finding their point of intersection. Use the drop-down menus to complete the statements below.

Answers

Answer:

2 and it is the solution to both

Step-by-step explanation:

i just did it lol

The point of intersection of y = 2x – 3 and y = 1 is (2,1).

Here, we have,

given that,

the equations are:

y = 2x – 3 ....1

and y = 1 .....2

now, we have to solve them.

so, putting the value of y from 2, in 1,

we get,

2x – 3 = 1

or, 2x = 4

or, x = 2

so, we have,

their point of intersection is (2,1).

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HELP PLS I’LL GIVE BRAINLIEST AND A THANKS!

A chef preheats an oven. It starts at room temperature, 68°F, and heats up 23°F per minute.
Write an equation that shows how the oven temperature in °F, y, depends on the number of
minutes it has been preheating, X.
y =
I
Submit

Answers

(23x) + 68
(23 F for every minute) + 68 F as the starting point

The equation showing the variation of the temperature would be y=(23x) + 68.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A chef preheats an oven. It starts at room temperature, 68°F, and heats up to 23°F per minute.

The equation will be written as:-

y = 23x + 68

Here x is the time of preheating.

Therefore, the equation showing the variation of the temperature would be y=(23x) + 68.

To know more about an expression follow

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An iPhone costs £699 in London, €799 in Paris and $1,099 in New York. Using £1 = €1.13 and £1 = $1.37, state the lowest price of the iPhone in £. Give your answer to 2 dp.​

Answers

Answer:

£699 in London

£902.87 in Paris

£1505.63 in New York

The lowest price of the iPhone is £699 in London.

HELLPPPP WILL GIVE BRAINLIEST

Answers

Answer:

[tex]\frac{-1+-\sqrt{41} }{4}[/tex] (Third Option)

Step-by-step explanation:

Step 1: Use quadratic formula with a = 2, b = 1, c = -5.

[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex] [tex]x = \frac{-(1)+-\sqrt{(1)^2-4(2)(-5)} }{2(2)}[/tex] [tex]x = \frac{-1+-\sqrt{1-8(5)}}{4}[/tex] [tex]x = \frac{-1+-\sqrt{1-40} }{4}[/tex] [tex]x = \frac{-1+-\sqrt{41} }{4}[/tex]

Therefore, the answer is the third option, [tex]\frac{-1+-\sqrt{41} }{4}[/tex].

Which set of fractions is ordered from least to greatest?

Answers

Answer:

answer is A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The bigger the denominator is the samller the fraction is.

Ex:[tex]\frac{1}{32}[/tex] is way smaller than [tex]\frac{1}{3}[/tex]

Aidan practiced his foot skills during soccer practice. He began at the center
line, dribbled the ball 6 yards forward and 9 yards back, then 3 yards forward.
How far from the starting line was Aidan when he ended the drill?

Answers

Answer:

Aidan traveled 0 yards from the starting line

Step-by-step explanation:

Set up problem: 6-9+3

Solve

Hope this help! Have a great day!!

Akiba Ellis deposits the following in her checking account: 6 five-dollar bills, 5 two dollar bills, 12 one dollar bills, 9 half dollars, 6 quarters, 42 dimes, 10 nickels, 15 pennies, and a check for $97.23. what is her total deposit?

Answers

Answer:

$106.08

Step-by-step explanation:

Given:

6x $5.00

5x $2.00

12x $1.00

9x= 0.50

6x25 cent

42x10 cent

10x5 cent

15=15cent

$97.23

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

6 five dollar bill is $30.00

so 5 two dollar bill is $10.00

12 one dollar bills is $12.00

9 half dollar bill mean 0.50 cent since it Half and that would make $4.50

6 quarter so 6x25 which equal $1.50

42 dimes and dimes =10 cent so 42x10 which equal $4.20

10 nickels and nickels = 5 cent so 10x5=0.50

15=15 pennies

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

30.00+10.00+12.00+4.50+1.50+4.20+0.50+0.15+97.23 =

$106.08 Total Deposit

What is an equation of the line that passes through the points (0, -1)(0,−1) and (6, 1)(6,1)?

Answers

[tex]slope = y2 - y1 \div x2 - x1[/tex]

[tex]1 - - 1 \div 6 - 0[/tex]

[tex]2 \div 6[/tex]

[tex]1 \div 3[/tex]

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

[tex]1 = 1 \div 3 \times 6 + c[/tex]

[tex]1 = 2 + c[/tex]

[tex]c = 3[/tex]

[tex]y = 1 \div 3x + 3[/tex]

Write an equation in Point-Slope Form that passes through the points (2,-3) & (4,7)

Answers

Answer:

[tex]y=5x-13[/tex]

Step-by-step explanation:

Using the graph starting at -13 and going up 5 and over right 1 continuously, it tends to pass 2,-3 and 4,7.

A website sells a dress at £50 and shoes at £35.
The website has an offer:
Buy a dress and shoes together and get
1
5
off the price.
There is also a shipping and handling charge of £6 added at the end, after any discount.
If Ruth buys both a dress and shoes, how much will she actually pay?

Answers

Answer:

$74

Step-by-step explanation:

1/5 of 85 is 17

85-17=68

68+6=74

you are hiking along a trail that in 13½ miles long.you plan to rest every 2¼miles.how many rest stops will you make?​

Answers

Answer:

6 stops

Step-by-step explanation:

well if you stop every 2 1/4 miles for 13 1/2....13 1/2 divided by 2 1/4 is 6. So they'll stop 6 times.

The number of rest stops before finishing the trail is 5 rest stops.

Given,

You are hiking along a trail that is 13½ miles long.

you plan to rest every 2¼miles.

We need to find how many rest stops will you make.

How do distribute equally a given value?

We divide the given value by the total number of items we want to distribute.

Example:

In 35 minutes how many 5 minutes?

= 35/5

= 7

We have,

Trail distance = 13 1/2 miles = 27/2 miles

Distance travelled before every each = 2 1/4 miles = 9/4 miles

The number of 4/9 miles in 27/2 miles.

= 27/2 / 9/4

= 27/2 x 4/9

= 27x4 / 2 x 9

= 3 x 2

= 6 times.

This means on the 6th time you have already finished the trail so,

You have rested 5 times before finishing the trail.

Thus the number of rest stops before finishing the trail is 5 rest stops.

Learn more about how to find the number of miles each person hikes here:

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Solve the equation for s.
s2 = 10,000

is it 5,000 or 100?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]s = \pm 100[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

I am assuming that the equation given is:

[tex]s^2 = 10,000[/tex]

⸻⸻⸻⸻

[tex]s^2 = 10,000\\\rule{150}{0.5}\\\rightarrow \sqrt{s^2}= \sqrt{10,000}\\\\\rightarrow s = \boxed{\pm 100}\\\rule{150}{0.5}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

0.5 : 3 (ratio) in its simplest form

Answers

Answer:

1:6

Step-by-step explanation:

5 divided by 5 and 30 divided by 6

5:30

1:6

0.5 x 10 / 3 x 10 = 5/30
5/30 = 1/6
Ans: 1:6

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

25 - n

Step-by-step explanation:

n is a variable. It can represent any number. For example, 5 years ago, Mario would be 20 years old since 25-5 is 20.

So, if n is 8, you have to do 25 - 8 to find the answer to how old Mario was 8 years ago.

So his age n years ago, is 25 - n.

Hope this helps!

45c-60=75 what is the value of c

Answers

Answer:

[tex]45c - 60 = 75 \\ 45c = 75 + 60 \\ 45c = 135 \\ \\ c = \frac{135}{45} \\ \\ c = 3[/tex]

I hope I helped you^_^

please i need help with this

Answers

Answer:

=6^7-5

=6²

plz mark me as brainliest

Answer:

36

67

65

=

67

65

=

6*6*6*6*6*6*6

6*6*6*6*6

=6*6

=62

=36

Assuming the scale drawing of the swimming pool is 10 cm long and 5 cm wide, how long and how wide is the actual swimming pool?

Answers

Answer:

50 ft by 15

Step-by-step explanation:

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