What is the slope of the line which passes through (4, 5) and (0, 1)?

Answers

Answer 1

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, 1 )

m = [tex]\frac{1-5}{0-4}[/tex] = [tex]\frac{-1}{-1}[/tex] = 1

Answer 2

Answer:

1

Step-by-step explanation:

Hi there!

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (4,5) and (0,1)

[tex]=\frac{5-1}{4-0}\\=\frac{4}{4}\\= 1[/tex]

Therefore, the slope of the line is 1.

I hope this helps!


Related Questions

A phone originally cost £70 and is increased to £77
What is the percentage increase?

Answers

Answer:

mark me brainliest

Step-by-step explanation:

10% increased

Answer:

10%

Step-by-step explanation:

100%-> 70

1%->0.7

77-70=7

7÷0.7=10

Find the area of a circle with a circumference
of 50.24 units.
units2
Use 3.14 for II and label your answer in square units. Ex: 4 square units OR 4 units squared

Answers

Answer:

Hello! answer: 200.96

Step-by-step explanation:

50.24 ÷ 3.14 = 16 16 ÷ 2 = 8 8 × 8 × 3.14 = 200.96 therefore are area is 200.96 HOPE THAT HELPS!

Answer:

200.96

Step-by-step explanation:

Khan academy

7/2 x+1/2x=1/2+9/2x help

Answers

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]

Step 1: Simplify both sides of the equation.

[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]

[tex](\frac{7}{2}x+\frac{1}{2}x)=\frac{9}{2}x+\frac{1}{2}[/tex]  (Combine Like Terms)

[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]

[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]

Step 2: Subtract [tex]\frac{9}{2}x[/tex] from both sides.

[tex]4x-\frac{9}{2}x=\frac{9}{2}x+\frac{1}{2}-\frac{9}{2}x[/tex]

[tex]\frac{-1}{2}x=\frac{1}{2}[/tex]

Step 3: Multiply both sides by [tex](\frac{2}{-1})[/tex].

[tex](\frac{2}{-1})*(\frac{-1}{2}x)=(\frac{2}{-1})*(\frac{1}{2})[/tex]

[tex]x=-1[/tex]

Therefore, [tex]x=-1[/tex] will be your final answer.

Sorry this took very long. I had to calculate all of this.

Which group(s) reported having the widest range of time to relax? Please estimate what that range is.

Answers

Answer:

Divorced ; Never married

Step-by-step explanation:

The range of a dataset can be obtained from a boxplot by taking the difference of the readings of the minimum and maximum values. These values are culled from the boxplot by taking the reading on the endpoint of the lower whisker and endpoint of the upper whisker respectively. In the figure Given, we Can deduce that the divorced group and never married group have the widest range of time to relax

Maximum = 8

Minimum = 0

Estimated range: Maximum - Minimum = (8 - 0) = 8

Mancuso wants to draw a sector whose area is 2 times the area of the sector shown
Which method will NOT work?

Answers

Answer:

Multiply the radius, r, by 2. Keep the angle measure x.

Step-by-step explanation:

The area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².

What is function?

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that Mancuso wants to draw a sector whose area is 2 times the area of the sector shown.

The area of the sector given is -

A = {x/180} x πr²

For the area to be double, we can write the area of the sector as -

A{new} = 2 × {x/180} × πr²

A{new} = {x/90} × πr²

Therefore, the area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².

To solve more questions on sectors, visit the link-

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The formation of the solar system​

Answers

Step-by-step explanation:

Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material.

Answer:

Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material. It was gaseous, filled with billions of stars.

Mark me brainliestt :)) ehehe

I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS

Answers

Answer:

The Clubhouse and the Swimming Pool

Step-by-step explanation:

If you look closely the points are on the buildings. The X axis is left to right.

The Clubhouses coordinate is (12,12) but the Swimming Pools coordinates is (8,12). They have the same X-Axis

Answer:

club house and swimming pool

Step-by-step explanation:

club house and swimming pool both have an x-coordinate of 12.

A circle has a radius of 17 in. Find the length s of the arc intercepted by a central angle of 0.7 radians.

Round your answer to the nearest tenth .

Answers

Given:

The radius of the circle is 17 in.

Central angle of intercepted arc is 0.7 radians.

To find:

The length s of the intercepted arc.

Solution:

The formula for the length of intercepted arc is:

[tex]s=r\theta[/tex]

Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in radians.

Substituting [tex]r=17,\ \theta =0.7[/tex] in the above formula, we get

[tex]s=17\times 0.7[/tex]

[tex]s=11.9[/tex]

Therefore, the length of the intercepted arc is 11.9 inches.

pls ans.thanks a lot

Answers

Answer:

you're answer is -2

Step-by-step explanation:

i hope this helped you have a nice day  :)

Find the percent of change.
A coat costs $250 and is on sale
for $100.
The percent of change in price is________

Answers

Answer:

150

Step-by-step explanation:

250 - 100

DUS is a 30°-60°-90° triangle with short leg SU. If SU = x, determine the
length of the long leg and the length of the hypotenuse.

Answers

Answer:

SD = 2x

UD = x[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.

SU is the shorter leg = x

So, SD = 2x

The longer leg of a 30-60-90 triangle is [tex]\sqrt{3}[/tex] times the shorter leg.

So, UD = x[tex]\sqrt{3}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

In  a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.

HELP ASAP PLEASE
(3^2)^4

Answers

Answer:

6561

Step-by-step explanation:

3^2= 3*3=9   9^4= 9*9*9*9= 6561

Answer:

[tex]((3)^2)^4 = (9)^4 = 6561\\\\\\OR\\\\\\(3)^2)^4= 3^8 = 6561[/tex]

please show an explanation

Answers

Answer:

You should go to algebraic calculator. its amazing

Step-by-step explanation:

brainliest?

Select the equation that represents the graph of the line y=x-1 y=1/2x-1 y=1/2x + 2 y=x+2​

Answers

Answer:

[tex]y = \frac{1}{2}x - 1[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

The graph equation

First, pick any two corresponding points on the line

[tex](x_1,y_1) = (2,0)[/tex]

[tex](x_2,y_2) = (4,1)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{1 - 0}{4 - 2}[/tex]

[tex]m = \frac{1}{2}[/tex]

The line equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where

[tex](x_1,y_1) = (2,0)[/tex]

[tex]m = \frac{1}{2}[/tex]

So:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = \frac{1}{2}(x - 2) + 0[/tex]

[tex]y = \frac{1}{2}x - 1 + 0[/tex]

[tex]y = \frac{1}{2}x - 1[/tex]

Arc measure - Hello! Can you please help me and if you can explain the formula that would be awesome!

Answers

9514 1404 393

Answer:

  88°

Step-by-step explanation:

Angle MQP is called an "inscribed angle." Its vertex (Q) is on the circle, and its sides are chords of the circle. The ends of the sides intercept arc MP. The relationship between an inscribed angle and the intercepted arc is that the measure of the arc is twice the measure of the angle.

  arc MP = 2×∠MQP = 2×44°

  arc MP = 88°

Please help I’m failing the class!! also please show your work if possible thanks!

Answers

9514 1404 393

Answer:

  m∠c = 52°

Step-by-step explanation:

Corresponding angles are congruent:

  13x +11° = 15x -7° . . . . . the corresponding angles have equal measures

  18° = 2x . . . . . . . . . . . . add 7° -13x to both sides

  9° = x . . . . . . . . . . divide by 2

Now, we can find c. It is supplementary to the corresponding angles.

  c = 180° -(15x -7°) = 180° -15(9°) +7° . . . . . substitute for x

  m∠c = 52°

Which factors of −14 are used to factor x2+5x−14?

Answers

Answer:

+ 7 and - 2

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

x² + 5x - 14 = (x + 7)(x - 2) ← in factored form

An art class contains 87 jars of paint. One third of the paint colors is red the remaining two thirds is purple.what is the ratio of purple paint to red paint.

Answers

9514 1404 393

Answer:

  2 : 1

Step-by-step explanation:

  purple : red = (2/3) : (1/3) = 2 : 1

The ratio of purple paint to red paint is 2 : 1.

Answer:

Solution :-

⅓ are red

So,

No. of red colors = 1/3 × 87 = 29

No. of purple colors = 2/3 × 87 = 2 × 29 = 58

So,

Ratio = 58:29

Ratio = 2:1

[tex] \\ [/tex]

Rotate the given triangle
90°clockwise about the origin.
21
2 21
-1 3
?
1

Answers

Answer:

Step-by-step explanation:

-1  -1  3

1  -2 -2

The new coordinates of the vertices after a 90° clockwise rotation about the origin are:

[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]

What occurred when you rotated 90 degrees clockwise?

If we rotate a triangle 90° counter clockwise about the origin,

Then if one of its vertices be (x, y), it will be changed to (y, x).

The triangle is given as follows:

[tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\\\end{array}\right][/tex]

To rotate the given triangle 90° clockwise about the origin, we can use the rotation matrix:

[tex]\left[\begin{array}{ccc}cos90^{o}&-sin90^{o}\\sin90^{o}&cos90^{o}\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0&-1\\1&0\\\end{array}\right][/tex]

To apply this rotation matrix to each vertex of the triangle, we multiply it with the coordinate vector of each vertex.

Let's denote the vertices of the triangle as A, B, and C.

A = (-1, -1)

B = (2, -1)

C = (2, 3)

Applying the rotation matrix to each vertex, we have:

[tex]A' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} -1 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ -1 \end{bmatrix}[/tex]

[tex]B' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ 2 \end{bmatrix}[/tex]

[tex]C' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ 3 \end{bmatrix} = \begin{bmatrix} -3 \ 2 \end{bmatrix}[/tex]

Therefore, the new coordinates of the vertices after a 90° clockwise rotation about the origin are:

A' = (1, -1)

B' = (1, 2)

C' = (-3, 2)

This can be written as follows:

[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]

Learn more about the rotating triangle here:

https://brainly.com/question/22878771

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Use the graph to write a linear function that relates y to x

Answers

Answer:

y=-4x

Step-by-step explanation:

Select 2 points, I will be using (-1,2) and (0,-2)

As you can see, for every x unit to the left, there are four y units down

Write a polynomial expression that has the following characteristics: The polynomial expression is a trinomial. The polynomial expression has degree 2. The leading coefficient is -5. 6​

Answers

Answer:

[tex] { - 5.6}xy ^{2} + yx + 2x[/tex]

What is simplifying? I honestly know what it is, but I forgot the definition.

Answers

To reduce a fraction to its lowest terms by canceling to the lowest common factor for both numerator and denominator or to condense an algebraic expression by grouping and combining similar terms. You

HURRY! Roberto concluded that 8th graders are more likely than 9th graders to have a summer job because more 8th graders than 9th graders responded that they have a summer job. Is Roberto correct? Explain why or why not

Answers

Answer :What words or phrases did the author use to express his opinion about city gardening?

Step-by-step explanation:

Find the value of x.

Answers

35. 360 - (110+110+70)
= 360 - (290)
= 70°

36. 360 - (67+108+120)
= 360 - (295)
= 65°

Pablo wants to pour 82.69 grams of salt into a container. So far, he has poured 38.4 grams. How much more salt should Pablo pour?


please help =)

helppppp

Answers

Answer:

44.29 grams

Step-by-step explanation:

82.69 - 38.4 gives you 44.29.

44.29 + 38.4 gives you 82.69.

70 POINTS PLEASE HELP

Answers

Answer:

decreases by about 5 beats per minute

His resting heart beat is about 80 beats per minute

find the product of (p+3q2)pq

Answers

Answer:

p²q + 3pq³

Step-by-step explanation:

(p + 3q²) pq ← multiply each term in the parenthesis by pq

= p²q + 3pq³

I need the answer to this equation

y-x=20 I need the slope and y intercept pls help

Answers

Answer:

slope: 1

y-intercept: (0,20)

Step-by-step explanation:

hope this helps

Answer:

slope: 1

y-intercept: (0, 20)

Jason plays the tuba 30 minutes a day. Which expression shows how many minutes Jason practiced in d days?
A. 30 + d
B. 30 – d
C. 30 ÷ d
D. 30d

Answers

Answer:

The answer is D

Step-by-step explanation:

30d = 30×d

Answer:

Step-by-step explanation:

option d is correct .

(2m - 5m^3 ) - (5m + 3m^3- 7m^4 ) + (8 - 3m^3- 5m^4+ 4m)

Answers

Answer:

2m^4 - 11m³ + m + 8

Step-by-step explanation:

(2m - 5m³) - (5m + 3m³ - 7m^4) + (8 - 3m³ - 5m^4 + 4m)

2m - 5m³ - 5m - 3m³ + 7m^4 + 8 - 3m³ - 5m^4 + 4m

7m^4 - 5m^4 - 5m³ - 3m³ - 3m³ + 2m - 5m + 4m + 8

2m^4 - 11m³ + m + 8

Answer:

8 + m - 11m^3 + 2m^4

Step-by-step explanation:

Add and subtract like terms:

8 + (2m - 5m +4m) + (-5m^3 - 3m^3 - 3m^3) + (7m^4 - 5m^4) =

8 + m - 11m^3 + 2m^4

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