Equation of a line that goes through the following points: (4,1) and (7,10)

Answers

Answer 1

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{10}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{9}{3}\implies 3 \\\\\\ \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}{1}=\stackrel{m}{3}(x-\stackrel{x_1}{4}) \\\\\\ y-1=3x-12\implies y=3x-11[/tex]


Related Questions

Use the diagrams to determine which statements are true. Select all statements that are true.

Answers

Answer:

I don't see your questions.

Egypt. Africa. America

Find the area of a circle with a radius of 9. Leave the answer in terms of π.

Answers

Answer:

A = 81π units²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 9² = 81π units²

A straight line whose equation is 3y-2x=-2 meets the x-axis at R determine the coordinates of R

Answers

Answer:

3y-2x=-2

The straight line meets the X-axis when y = 0

Hence, 3(0) - 2(x) = -2

2x = 2

x = 1

Therefore, the coordinates of R is (1,0)

what is the diffrence between -25 and -12

Answers

theyre both negative so you add them, -37
The difference is -13.

Calculate the difference between the two negative values
After you know the negative values you're comparing, you can calculate the difference. Do this by subtracting one negative value from the other. For example, you'd subtract -7 from -5 to get -2.
So (-25) - (-12) = -13

HELP!!!!!!
This is the only thing i dont understand in my math class

Answers

Answer:

{1, 2, 3, 4}

Step-by-step explanation:

Concepts

The domain of a function is all the possible x-values for that function. In other words, it's all the x-coordinates listed in the graph.

Application

In this case, we have to list the domain of the given function. To do this, we have to first label the points, and then list their x-coordinates in increasing order.

Solution

Points:

(1, 4)(2, 3)(3, 2)(4, 1)

X-Coordinates:

1, 2, 3, 4

Domain:

{1, 2, 3, 4}

What is the circumference of the following circle? Diameter=3 Radius=1.5

Answers

Answer: 3π in terms of pi or 9.42 if in π or pi= 3.14

Step-by-step explanation:

Question 3
ceiling fan the blades of a ceiling fan have a length of 26 inches. the tips of the blades follow a circular path. how far does the tip of a
blade travel in 1/5 of a rotation? round to the nearest hundredth of an inch,
________inches

Answers

The distance the blades travel in 1/5 of a rotation is 32.67 in

Since the distance the blades of the ceiling fan rotate is the length of an arc, we find this length

What is the length of an arc?

The length of an arc is given by

L = Ф/360° × 2πr where

Ф = angle of rotation and r = length of blades of fan

Since

Ф = 1/5 of a rotation = 1/5 × 360° = 72° and r = 26 in

The distance the blades travel

So, substituting the values of the variables into the equation, we have

L = Ф/360° × 2πr

L = 72°/360° × 2π × 26 in

L = 1/5 × 52π in

L = 10.4π in

L = 32.67 in

So, the distance the blades travel in 1/5 of a rotation is 32.67 in

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Helppp!

The net of a solid figure is shown below:

Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 3 inches


Which calculation will give the total surface area of the solid figure?

3 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 ⋅ 3 square inches
3 ⋅ 6 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 square inches

Answers

Answer:

It's the the 4th one. 6.3.3

I will mark brainliest!!!

What is the slope?

A. 3/2
B. 1/2
C. 3/4
D. 2/3​

Answers

A or 3/2 is the correct slope.

2- -1 is 3

1- -1 is 2

Therefore the slope is 3/2 :)

A loaf of bread and 4 scones cost £3.30. If the loaf costs 90 pence how much would one scone cost ? .​

Answers

Answer:

Step-by-step explanation:

Givens

4 scones

1 loaf of bread

Total cost = 3.30

Equation

Let the loaf of bread = b

Let the scones = s

Cost = b + 4s

Solution

Substitute the givens into the equation

b + 4s = Cost

90 + 4s = 3.30                  Subtract 90 from both sides

90-90 + 4s = 3.30-90      Combine

4s = 2.40                          Divide by 4

4s/4 = 2.40/4                

s = 0.6 of a pound

Answer: 1 scone = 60 pence.

Yolanda says she can use a sphere to model the surface area of the boulders on this beach. explain whether yolanda is correct. yolanda is . since the boulders have , the best shape to model the surface area is a .

Answers

Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

What is a sphere?

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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Answer:

Step-by-step explanation:

Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

What is a sphere?

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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The volume of this rectangular prism is 51,615 cubic yards. What is the value of v? (will mark brainliest)

Answers

Answer:

v = 37 yards

Step-by-step explanation:

Volume of a rectangular prism = width × length × height

Given:

volume = 51,615 yd³width = vlength = 93 ydheight = 15 yd

Substituting the given values into the formula and solving for v:

⇒ 51615 = v × 93 × 15

⇒ 51615 = 1395 v

⇒ v = 51615 ÷ 1395

⇒ v = 37

Answer:

v = 37 yds

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

v = 51,615 yd³l = 93 ydsw = v ydsh = 15 yds

Substitute the values above and solve for v:

51,615 = 93 × v × 15

51,615 = 1395v

51,615/1395 = 1395v/1395

37 = v

Final answer: 37 yds

Hope this helps!

What is the perimeter of the triangle below?


48.0 units
14.7 units
16.7 units
24.0 units

Answers

16.7 units lmk if i’m wrong tho

Which of the following is a statistical question?
Select one:

How many of Mrs. Malone's students earned an A for the first nine weeks?

How many students missed question #5 on Mrs. Malone's math test yesterday?

How many of Mrs Malone's students turn in their homework each day?

Answers

the answer is b

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

See below for answers and explanation

Step-by-step explanation:

A statistical question has variability in collecting the data, and doesn't have one definitive answer:

Question 1: How many of Mrs. Malone's students earned an A for the first nine weeks? This is not a statistical question because you can narrow down exactly how many.

Question 2: How many students missed question #5 on Mrs. Malone's math test yesterday? This is not a statistical question because you can easily take all the worksheets done on the math test and find an exact number.

Question 3: How many of Mrs Malone's students turn in their homework each day? This is a statistical question because not every student will consistently turn in their homework each day, so there will be variability while collecting that data.

Hence, Question 3 is a statistical question

Question Number 14 of 20 - Geometry The equation of line kis y = = 1 -X – 2. The equation of line m is -2x + 6y = 18. Lines k and m are - 3 F perpendicular G intersecting but not perpendicular H parallel I the same line ​

Answers

Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.

The condition for two parallel lines.

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

For two perpendicular lines, we have:

m₁m₂ = -1.

From line k, we have this equation:

y = 1/3x - 2

From line m, we have this equation:

-2x + 6y = 18.

6y = 18 + 2x

y = 18/6 + 2/6x

y = 1/3x + 3.

Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.

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x² + y² = 34
=
y = x+2
Show your working.

Answers

Answer:

[tex]\left \{ {{y=5} \atop {x=3}} \right.[/tex] or [tex]\left \{ {{y=-3} \atop {x=-5}} \right.[/tex]

Step-by-step explanation:

Answer:

(- 5, - 3 ) , (3, 5 )

Step-by-step explanation:

x² + y² = 34 → (1)

y = x + 2 → (2)

substitute y = x + 2 into (1)

x² + (x + 2)² = 34

x² + x² + 4x + 4 = 34

2x² + 4x + 4 = 34 ( subtract 34 from both sides )

2x² + 4x - 30 = 0 ( divide through by 2 )

x² + 2x - 15 = 0 ← in standard form

(x + 5)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

substitute these values into (2) for corresponding values of y

x = - 5 : y = - 5 + 2 = - 3 ⇒ (- 5, - 3 )

x = 3 : y = 3 + 2 = 5 ⇒ (3, 5 )

Which is the graph of y-3=-2/3(x+6)

Answers

Answer:

The first graph.

PLEASE HELP!
Before you answer:
-No spam (Will be reported)
-No incorrect answers (Will be reported)
-Correct answers and explanations will be mark as BRAINLIEST

Answers

Answer:

For the circle with the diameter of 7cm, the area is about 38.48cm and the circumference is about 22cm

For the circle with the diameter of 5cm, the area is about 19.63cm and the circumference is about 15.7cm

Step-by-step explanation:

The formula to find the area of a circle is pi*r^2

The formula to find the circumference is 2*pi*r

r = radius, which can be determined simply by taking the diameter, and dividing it by 2.

Answer:

See below ~

Step-by-step explanation:

Circle 1 :

Area = πr² = 22/7 x (7/2)² = 11 x 7/2 = 77/2 = 37.5 cm²Circumference = 2πr = 2 x 22/7 x 7/2 = 2 x 11 = 22 cm

Circle 2 :

Area = πr² = 22/7 x (5/2)² = 22/7 x 25/4 = 550/28 = 19.64 cm²Circumference = 2πr = 2 x 22/7 x 5/2 = 220/14 = 15.71 cm

This is the question picture

Answers

Answer:

A = X

B=Z

C=Y

Step-by-step explanation:

As they are congruent, their corresponding angles are also congruent

Answer:

a)

angle a is congruent to angle x

angle b is congruent to angle z

angle c is congruent to angle y

b)

line ab is congruent to line xz

line ac is congruent to line xy

line bc is congruent to line zy

c)

triangle bca is congruent to triangle zyx

PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!

Answers

Answer:

0.25π

Step-by-step explanation:

→ Expand the bracket

4 × cos²Ф = 2

→ Divide both sides by 2

cos²Ф = 0.5

→ Square root both sides

cos Ф =  [tex]\frac{\sqrt{2} }{2}[/tex]

→ Inverse cosine  [tex]\frac{\sqrt{2} }{2}[/tex]

cos⁻¹ (   [tex]\frac{\sqrt{2} }{2}[/tex]  ) = 0.25π

Answer:

Answer:

0.25π

Step-by-step explanation:

→ Expand the bracket

4 × cos²Ф = 2

→ Divide both sides by 2

cos²Ф = 0.5

→ Square root both sides

cos Ф =  

→ Inverse cosine  

cos⁻¹ (     ) = 0.25π

Step-by-step explanation:

solve 3y= x+1 and 2y= x

Answers

Answer:

(2, 1 )

Step-by-step explanation:

3y = x + 1 → (1)

2y = x → (2)

substitute 2y = x into (1)

3y = 2y + 1 ( subtract 2y from both sides )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (2)

2(1) = x

2 = x

solution is (2, 1 )

Answer:

{y,x} = {-1,-2}

Step-by-step explanation:

2y = - 2

  [2]    y = - 1

// Plug this in for variable  y  in equation [1]

  [1]    3•(-1) - x = -1

  [1]     - x = 2

// Solve equation [1] for the variable  x

  [1]    x = - 2

// By now we know this much :

   y = -1

   x = -2

{y,x} = {-1,-2}

hope this helps

pls mark brainliest

James is given the diagram below and asked to prove that ZD ZF. What
would be the missing step of the proof?
Given: DE = FE, and Eo forms the angle bisector of ZDEF.
Prove: ZD ZF
E
D
o
Reasons
Given
Statements
1. DEFE, EO forms the angle
bisctor of ZDEF
2.
3. EO EO
4. ADEO AFEO
5. ZD ZF
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruent
O A. ZEDO ZEDO
O B. ZEDO: ZEFO
O C. ZDEO = ZFEO
O D. ZEOF ZEOD

Answers

Answer:

C, ∠DEO ≅ ∠FEO

Step-by-step explanation:

The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.

This means the angle is divided into 2 equal angles.

∠DEO ≅ ∠FEO

A box with square base and a height of 8cm has a volume of 1 332 cm3. find the length of the side base​

Answers

Answer:

12.9 cm

Explanation:

Volume of rectangular box = Length × Width × Height

Given following:

Height = 8 cmConsider one of the base side as x

Solve for volume:

L × W × H = Vx × x × 8 = 1332x² = 1332/8x = √166.5 ≈ 12.9 cm

please awnser quickly

Answers

Answer:

R' (- 1, 6 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

R (- 1, - 6 ) → R' (- 1, 6 )

Answer:

the answer should be (-1, -6) because remember when you are doing these kind of problems of pluging in the points in a coordinate plane remember the quadraunts  to help you know everything you need in case of future problems.

So back remember first is x and then y so when we analyze the point the x is -1 and the y is -6 so the point r represnts= (-1,-6)

so hopefully that is the correct answer and have a great day.

remember first is x and then y

Step-by-step explanation:

Compared to if she had bought no items on sale, by what percent was jan’s total grocery bill discounted? round to two decimal places. a. 15.85% b. 16.50% c. 16.65% d. 17.50%

Answers

The total percentage by which Jan's groceries were discounted is 16.65% approximately. (Option C). See the attached and the explanation below.

How was the total percentage discount arrived at?

Step 1 - Reverse engineer, the figures to get the original prices first.

You can do this by dividing the discounted prices by the result that you get when you remove the decimal version of the discounted percentage from number one. For Chicken that would be 8.47/(1-0.85) = $9.96 (Original price.)

Step 2 - Sum up all the discounted prices as well as the Original prices then find the difference.

This comes to 22.47 - 18.72 = $3.75

Step 3 - Divide the difference by the original price to get the percentage difference

$3.75/$22.47 = 16.68% (Nearest answer is Option C)

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Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths

Answers

This looks similar to one of my questions I’ll be back if I find the answer

Answer:

A

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words
In circle A. DB has a length 6.47 centimeters. What is m DAB in radians? Round your answer to two decimal places.
2.9 cm B m DAB= radians
​I NEED HELP ASAP!

Answers

The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.

What is the Length of an Arc?

Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.

Given the following:

Length of arc = 6.47 cm

Radius (r) = 2.9 cm

θ = m∠DAB

Plug in the values into the arc length formula:

6.47 = θ × 2.9

6.47/2.9 = θ

θ = 2.23 radians

m∠DAB = 2.23 radians

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Answer:

DAB = 2.23 radians

Hope this helps!

Step-by-step explanation:

I NEED HELP IN THIS PLSSS

Answers

Answer:

1. A

2. i think c not sure

Step-by-step explanation:


What is the ratio of lines b : c if A is 77°

Answers

Answer:

3rd option

Step-by-step explanation:

the ratio of b : c is the cos77° , that is

cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.

Determine each segment length in right triangle ABC

Answers

The length of BC= 7√2 and BD = 7.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given:

AD= 7, AC= 14

In Δ BDC

cos 45 = B/ H

1/√2 = 7/ BC

BC= 7√2

In Δ BDC

sin 45 = P/H

1/√2= BD / 7√2

BD = 7

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