Robert says that the slope of a line passing through (1, 7) and (3, 9) is equal to the ratio 1-3/7-9 . Is this a correct method for calculating the slope? Explain your answer. (1 point)

Answers

Answer 1

Answer:

The slope should be calculated using the formula [tex](7 - 9) / (1 - 3)[/tex] instead of the one that was proposed in the question.

Step-by-step explanation:

The slope of a line in a cartesian plane is the rate at which [tex]y[/tex] changes with respect to [tex]x[/tex].

For this line, the value of [tex]y[/tex] increased (vertically) from [tex]7[/tex] at [tex](1,\, 7)[/tex] to [tex]9[/tex] at [tex](3,\, 9)[/tex] as the value of [tex]x[/tex] increased (horizontally) from [tex]1[/tex] to [tex]3[/tex].

In other words, [tex]y[/tex] changed by [tex](9 - 7)[/tex] while [tex]x[/tex] changed by [tex](3 - 1)[/tex].

The slope of the line (rate at which [tex]y[/tex] changes with respect to [tex]x[/tex]) would be:

[tex]\displaystyle \frac{\text{rise}}{\text{run}} = \frac{(9 - 7)}{(3 - 1)} = \frac{(7 - 9)}{(1 - 3)}[/tex].

In general, for a line that goes through [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex], where [tex]x_{1} \ne x_{2}[/tex]:

[tex]\begin{aligned}\text{slope}&= \frac{(y_1 - y_2)}{(x_1 - x_2)} = \frac{(y_2 - y_1)}{(x_2 - x_1)}\end{aligned}[/tex].


Related Questions

7−2t≤21 write the solution in

Answers

Answer:

t≥-7

Step-by-step explanation:

7−2t≤21

Subtract 7 from each side

7-7−2t≤21-7

−2t≤14

Divide each side by -2, remember to flip the inequality

-2t/-2 ≥14/-2

t≥-7

at 1pm the level of water in the pool was 8 feet at 4pm the level of water was 2 feet find the constant rate of change of the water.​

Answers

Answer:

2 feet

Step-by-step explanation:

1 pm = 8ft                  

    2pm = 6ft         The rate of change is 2

    3pm = 4ft

4pm = 2ft

Arrange 7/ 10 , 3/5 , 17/ 20 , 11/ 15 in descending order​

Answers

Answer:

17/20 , 11/15 , 7/10 , 3/5

Which expression has the same value as -5, + (-4)?
Submit Answer
0 -5 8 3 - 4 2 3
O 4; -(-5%)
O 5+(-4)
O-52-(-41)

Answers

First row, the answer on the left , -5 3/4 - 4 2/3

Pls help ASAP for 15 point

Answers

Answer:

[tex] \sqrt{ - 17 } \\ 20\% \\ 1 \times \frac{1}{2} \\ \sqrt{17} \\ 8[/tex]

Solve for p.

8 − 4(2p − 2) = 7 + p + 9

p =

Answers

Answer:

p = 0

Step-by-step explanation:

[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]

➡️ [tex]8 - 8p + 8 = 16 + p[/tex]

➡️ [tex]16 - 8p = 16 + p[/tex]

➡️ [tex] - 8p = p[/tex]

➡️ [tex] - 8p - p = 0[/tex]

➡️ [tex] - 9p = 0[/tex]

➡️ [tex]p = 0[/tex]

A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 18 minutes, and then flies directly back to the hive at 6
feet per second. It is away from the hive for a total of 23 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?

Answers

Answer:

Step-by-step explanation:

d = distance from hive to flowers, in feet

flying time = 23 min - 18 min = 5 min = 300 sec

time flying to flowers = d ft × (1 sec)/(10 ft) = (d/10) sec

time flying to hive = d ft × (1 sec)/(6 ft) = (d/6) sec

d/10 + d/6 = 300 sec

:::::

d/10 + d/6 = 3d/30 +5d/30 = 8d/30 = 300

d = 300×30/8 = 1,125 ft

I’m confused because I don’t know what I would put for “What scale factor takes the original polygon to its smaller copy”.

Answers

Look at the sides you’ve labeled CD. On the left figure this is 4 units long. On the right figure it’s only 1 unit long. Going from the bigger to the smaller, you’re not 1/4 the size it started at. That’s a scale factor of 1/4.

Scale factors are:
- greater than 1 if there’s growth
- less than 1 if the result is smaller.

The scale factor that takes the original H-shaped polygon to its smaller copy is 1/4, which is the ratio of the lengths of corresponding sides in the copy and the original.

When a polygon is scaled, each side is multiplied by the same factor to create the corresponding side in the smaller copy. The scale factor is the ratio of the lengths of corresponding sides in the copy and the original.

Let's denote the scale factor as k. In this case, we are given that the smaller copy is a scaled version of the original, so the lengths of corresponding sides in the copy and the original are related by the scale factor:

[tex]Scale\ factor\ \(k = \frac{\text{Length of corresponding side in copy}}{\text{Length of corresponding side in original}}\)[/tex]

Given that the scale factor [tex]\(k = \frac{1}{4}\)[/tex], it means that each side in the smaller copy is one-fourth the length of the corresponding side in the original.

For example, if the original H-shaped polygon has a side of length 5 units, the corresponding side in the smaller copy would be [tex]\(5 \times \frac{1}{4} = 1.25\)[/tex] units.

This process applies to all sides of the original H-shaped polygon, and each side's length is multiplied by the scale factor to get the corresponding side length in the smaller copy.

So, the scale factor that takes the original H-shaped polygon to its smaller copy is indeed 1/4), which represents the ratio of the lengths of corresponding sides in the two polygons.

To know more about scale factor, refer here:

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I need help pleaseeeess

Answers

4 bc it’s the same as the other 4

Please help me with this question

Answers

Answer:

-15c

Step-by-step explanation:

I'm sorry for not being able to explain but im sure that ma answer is correct.

How to do this? Please help

Answers

Step-by-step explanation:

This equations are quadratic equations, which is on standard form,

[tex] {ax}^{2} + bx + c[/tex]

where a is the leading coefficient, b is the second coefficient, and c is the constant.

Both a and b are in quadratic equation so we need to find the constant separately.

Both sides are equal to zero so we can just subtract the terms not containing a or b in them to the opposite side.

[tex] {x}^{2} - 4 x + a = 0[/tex]

[tex] {x}^{2} + a = 4x[/tex]

[tex]a = - {x}^{2} + 4x[/tex]

For b,

[tex]2 {x}^{2} - 6x + b + 7 = 0[/tex]

[tex] - 6x + b + 7 = - 2 {x}^{2} [/tex]

[tex]b + 7 = - 2 {x}^{2} + 6x[/tex]

[tex]b = - 2 {x}^{2} + 6x - 7[/tex]

I need help with 18-27

Answers

Answer:

18-27= 01

Step-by-step explanation:

18

-27

---------

01

the one cancels out

30POINTS
Two functions, A and B, are described as follows:

Function A
y = 8x + 3

Function B
The rate of change is 1 and the y-intercept is 4.

How much more is the rate of change of function A than the slope of function B?
1
7
8
9

Answers

That will be m=8 mark brainlist plz
the correct answer is 7

Together, Sala and Terry saved $10.00. Sala. saved D dollars. Write an expression for the amount Terry saved.​

Answers

Let Terry Saved be T dollars .

The Expression will be

[tex]\\ \rm\longmapsto Sala+Terry=\$10.00[/tex]

[tex]\\ \rm\longmapsto D+T=\$10.00[/tex]

Answer:

T = 10 - S

Step-by-step explanation:

The only useful information is that  they saved $10 together. We are just going to add the money Sala and Terry saved to equal 10.

S + T = 10

They want an expression for how much Terry saved so we can solve for T.

T = 10 - S

Best of Luck!

hcf of x^2 - y^2 + 4y - 4​

Answers

Answer:

[tex](x - y + 2) \times (x + y - 2)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - {y}^{2} + 4y - 4[/tex]

➡️ [tex] {x}^{2} - ( {y}^{2} - 4y + 4)[/tex]

➡️ [tex] {x}^{2} - (y - 2 {)}^{2} [/tex]

➡️ [tex](x - (y - 2)) \times (x + (y - 2))[/tex]

➡️ [tex](x - y + 2) \times (x + y - 2)[/tex]

Please help I only have 15 minutes to complete this last one

Answers

Answer:

the slope of MN= -5-1/3-(-6)=-2/3

two lines are parallel>> slopes are equal

equation of line = (y-y'=m(x-x'))

therefore, y-1= -2/3(x-6)

y-1 = -2/3x + 4

y+2/3x=5

Finding number of x
X+7=3

Answers

Answer:

x=3-7

x=-4

this was your answer

Answer:

x = -4

Step-by-step explanation:

Use inverse operations to solve the given equation,

x + 7 = 3

(Subtract (7) from both sides,

x + 7 - 7 = 3 - 7

Simplify,

x = -4

Simplify square root of -200

Answers

Answer:

14.1421356i

Step-by-step explanation:

hope it helps

|x|-5 what does the vertical bar means?​

Answers

Answer:

it means absolute valuen so anything inside becomes a positve.

Step-by-step explanation:


The diameter of a regulation soccer ball is about 85 inches. This number was graphed on a number line.
g the graph of the diameter of the ball?

Answers

Answer:

Point D

8 3/5 = 40+3= 43

43÷5 = 8,6

........

plz help. show work too

Answers

Answer:

56mm²

Step-by-step explanation:

i will appreciate if u give brainliests, thanks

20. Your friend says the absolute value equation |2x + 9 + 7 = 3 has two solutions
because the constant on the right side of the equation is positive. Is your friend
correct? Explain.

Answers

This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.

In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

Thus, the friend is not correct.

We are given the equation;

|2x + 9| + 7 = 3

Now when dealing with absolute values, it means that the solution is either positive or negative.

For example;

|x| = 5 means that x = +5 or -5

Thus in this question, let us first of all simplify the equation to get;

|2x + 9| = 3 - 7

|2x + 9| = -4

From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

Thus, the friend is not correct.

Read more here; brainly.com/question/12928519

Use the substitution method to solve the system of equations. Choose the correct ordered pair. y=6x-4 y=7x-7 A. (4, 18) B. (5, 9) C. (3, 14) D. (2, 11)

Answers

Answer:

C (3,14)

Step-by-step explanation:

y=6x-4

y=7x-7

6x-4=7x-7

-x=-3

x=3

y=6*3-4=14

School for Jan started at 9.00 a.m. and finishes at 3.00 p.m. If Jan knew she was 2∕3
of the way through the school day, what time was it then? Put in either am or pm

Answers

Answer:

it's 1 pm

you have to count the hours between 9 am and 3 pm = 6 then you divide 6 by 3 = 2 then 2*2= 4

Find FH? this is 10th-grade geometry

Answers

Answer:

7

plss mark me brainlestt

Step-by-step explanation:

22-15=7

A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment FH is 7 units.

What are a line and line segment?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and fixed endpoints.

Given that the length of the line segment HG is 15 units and the length of line segment FG is 22 units.

Since the line segment, FG is made from FH and HG. Therefore, we can write,

FG = FH + HG

22 units = FH + 15 units

FH = 22 units - 15 units

FH = 7 units

Hence, the length of the line segment FH is 7 units.

Learn more about Line here:

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CAN SOMEONE HELP ME PLEASE

Answers

Answer:

2) 18

3) x = 17.5, LN = 105

Step-by-step explanation:

2) 6 + 12 = 18

3) 6x = 4x + 8 + 27

2x = 35

x = 17.5

6x = 6(17.5) = 105

Erik bought a mattress that was marked down 70% from an original price of $500. If the sales tax in Oak Grove is 8%, what was the total cost of the mattress?​

Answers

Answer:

Btw the result are this: 70% = 0.7500 = 0.78% = 0.08 In Oak Grove

Step-by-step explanation:

The total cost of the mattress is $162 after markdown 70%  and sales tax 8%

Given :

Erik bought a mattress that was marked down 70% from an original price of $500

Original price is 500 dollars

marked down that is discount percentage is 70%

Lets find the discount amount using original price

markdown percentage times original price

[tex]discount = \frac{70}{100} \cdot 500=350[/tex]

cost of mattress after discount is 500-350= 150 dollars

sales tax is 8%

now we find the tax amount for 150 dollars

[tex]tax=150 \cdot \frac{8}{100} \\tax = 12[/tex]

tax is 12 dollars

the total cost of the mattress= cost of mattress +tax

the total cost of the mattress=150+12=162

the total cost of the mattress is $162

Learn more :  brainly.com/question/2767176

Evaluate the equation.

193b = 212.3
A. b = 40,973.9
B. b = 40,873.9
C. b = 1.1
D. b = 0.9

Answers

Answer:

C

Step-by-step explanation:

193b=212.3

193b/193=212.3/193

(divide by 193 to get the value of b)

193 cancels 193

b= 1.098445596

(round off to one decimal place)

b=1.1

Hope its helps ❤️

The answer is the third one(C)

What is the solution to the equation 1/4x - 1/8 = 7/8 + 1/2x ?
A. x = -5
B. x = -4
C. x = 4
D. x = 5​

Answers

Hey there! I'm happy to help!

We want to get all of the variables on the left side and all of the numbers on the right side. This will allow our variable to be isolated so we can see what it is equal to.

1/4x - 1/8 = 7/8 + 1/2x

We add 1/8 to both sides.

1/4x=1+1/2x

We subtract 1/2x from both sides.

-1/4x=1

We divide both sides by -1/4 (same thing as multiplying -4).

B. x=-4

Have a wonderful day and keep on learning! :D

can someone help me please?

Answers

Answer:

Its 15

Step-by-step explanation:

a^15 / a^3

= a^15-3

= a^12

Use law of indices.

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