Question 3
Find the equation of the line joining (-2,4) and (3,7)

Answers

Answer 1

Answer:

y = (3/5)x+26/5 or 5y = 3x+26

Step-by-step explanation:

Applying,

The equation of a line in two point form

(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1

From the question,

Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2

Substitute these values into equation 1

(7-4)/[3-(-2)] = (y-4)/(x+2)

3/5 = (y-4)/(x+2)

5(y-4) = 3(x+2)

5y-20 = 3x+6

5y = 3x+6+20

5y = 3x+26

y = (3/5)x+26/5

Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26


Related Questions

Find two integers whose sum is 5 and product is -66 TWO INTEGRES
NOT 1 TWO

Answers

Answer:

-6 and 11

Step-by-step explanation:

The only factors of 66 are 11, 6, 2 and 3

11*6 is the only pair whose product is 66

The difference betwen 11 and 6 is 5

11 must be positive and 6 negative since the sum is positve

which expression are equivalent to the given expression square root of 40

Answers

Answer:

2√10

Step-by-step explanation:

√40 = √(2 × 2 × 2 × 5) = 2√10.

change 45' into seconds.​

Answers

Answer:

2700 seconds

Step-by-step explanation:

The notation " ' " is said as "minutes".

° = degrees; ' = minutes; " = seconds

45 minutes

1 minute = 60 seconds

1*45=60*45

45 minutes = 2700 seconds

sofia uses 8 gallons of gas to drive 204 miles. at the same rate, How many miles can sofia drive using 18 gallons of gas?

Answers

Answer:

Sophia can drive 3672 miles using 18 galloons of gas.

Step-by-step explanation:

204 x 18 = 3672.

Calculate miles per gallon by dividing the miles she drove you the gallons used:

204/8 = 25.5 miles per gallon.

Now multiply miles per gallon by gallons:

25.5 x 18 = 459 miles

Answer: 459 miles


X/4- 3 = 9
the / means divided

Answers

Answer:

48 x means 48

Step-by-step explanation:

48/4= 12

12-3=9

/ means divided

The circumference of a circle is 32 centimeters. Find the radius of this circle.
a. about 201.06 cm c. about 5.09 cm
b. about 100.53 cm d. about 10.19 cm

Answers

Answer:

r≈5.09cm

Step-by-step explanation:

Find the surface area and volume of each cylinder:
a) Radius = 5 cm, height = 7.5 cm.
b) Diameter = 7 inches, height = 5 inches, state your answer in terms of .

Answers

Cylinder A -

Surface Area:

A = 2πrh + 2πr^2

A = 2 · π · 5 · 7.5 + 2 · π · 25 ≈ 392.69908

A = 392.7 cm^2

Volume:

V = πr^2h

V = π · 25 · 7.5 ≈ 589.04862

V = 589 cm^3

Cylinder B -

Surface Area:

A = 2πrh + 2πr^2

A = 2 · π · 3.5 · 5 + 2 · π · 12.25 ≈ 186.92476

A = 186.9 cm^2

Volume:

V = πr^2h

V = π · 12.25 · 5 ≈ 192.42255

V = 192.4 cm^3

Answer:

a) surface area: 125pi     volume: 187.5pi

b) (i dont know what you mean by "in terms of ." so ill give both)

surface area: 210pi or 659.734     volume: 61.25pi or 192.422

Step-by-step explanation:

a) surface area is this

2pirh+2pir^2

plug it in..

2pi(5)(7.5)+2pi(5)^2

simplify...

75pi+50pi

125pi

volume is this

pir^2h

plug it in...

pi(5)^2(7.5)

simplify...

187.5pi

b is basically same steps.

(i had to replace all the pi symbols with "pi" because it was inappropriate???)

What is the perimeter of this rectangle?
w2 + 13
W + 5
A w3 + 18
B 2W + 2w + 36
o w3 + 5w? + 13w + 65
D w
+ W + 18
DA
(ОВ

Answers

Answer:

B. 2w^2 + 2w + 36

Step-by-step explanation:

The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.

Applying this logic to this problem, the equation would be as follows:

[tex]w^{2} + 13 + w^{2} + 13 + w+5+w+5[/tex]

Then, we simplify. The like terms go together, and you have your solution.

[tex]2w^{2} + 2w+36[/tex]

2x-1/4 + x/3 = 2
Solve the equation

Answers

Answer:

below

Step-by-step explanation:

steps are shown above

Find the exact value of sinA in simplest radical form.

Answers

Answer:

√7 / 4.

Step-by-step explanation:

Sin A = opposite side/ hypotenuse

= √63 / 12

= √9√7 / 12

=   3√7 / 12

=  √7 / 4.

what is 5/20 as a percent if you could give an explanation that would be good but if not thats okay

Answers

5/20 can also be represented as 25/100 or 25%. The can be done by multiplying the top and bottom both by 5 and then dividing our numerator (25) by our denominator(100) to get the %.

Answer:25%

Step-by-step explanation:A pectange has to be out of 100 so that means 5/20 is 25/100 because 20 times 5 equals 100 and 5 times 5 equals 25 making it 25%.

5) If (x - 5) is a factor of 2r3 - 7px + (p - 12),
find the value of p.
{ANS: p = 7)​

Answers

Answer:

the value of p is 7

Step-by-step explanation:

Given function;

f(x) = 2x³ - 7px + (p - 12)

factor of the given function = x - 5

Apply remainder theorem to solve for p

f(x - 5) = 0

x - 5 = 0

x = 5

f(5) = 2(5)³ - 7p(5) + (p - 12) = 0

        2(125) - 35p  + p - 12 = 0

         250 - 34p  - 12 = 0

        238  - 34p = 0  

           34p  = 238

                p = 238/34

                 p = 7

Therefore, the value of p is 7

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Put the following values in order from smallest to largest.

NEED ANSWERS ASAP ASAP ASAP. ANSWER VERY QUICK PLEASE. ITS A TEST!!!

Answers

0.08 -> 1/4 -> 0.3 -> 1/3 -> 40% -> 85%
1/4 = 0.25
1/3 = 0.3333 repeating symbol
40% = 0.40
85% = 0.85

whats is the answer to x+2=-2x+4

Answers

X=2/3 yeah i got that

How many isosceles triangles in this pentagon?

Answers

It should be 8. Correct me if i'm wrong

Answer:

6 triangles

i am not very sure thou

Select the correct answer.
Simplify the expression 53 × 5-5.

Answers

The answer is 260 is the answer

Rewrite this equation in Slope Intercept form and
solve the equation at x = -1. Show your work.
2x + y = 6

Answers

Answer:

y = -2x+6

y=8  when x = -1

Step-by-step explanation:

2x + y = 6

Slope intercept form is  y = mx+b where m is the slope and y is the intercept

Solve for y

Subtract 2x from each side

y = -2x+6

The slope is -2 and the y intercept is -6

Let x = -1

y = -2(-1) +6

y = 2+6

y=8

(-1,8)

Answer:

y = -2x + 6

y = 8

Step-by-step explanation:

Rewrite this equation in Slope Intercept form

2x + y = 6

Subtract 2x from both sides

y = -2x + 6

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

solve the equation at x = -1

y = -2(-1) + 6

y = 2 + 6

y = 8

What is the value of x? Round the answer to the nearest tenth

Answers

Answer:

The answer is A.

Step-by-step explanation:

The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.

Rearrange the following numbers in order from least to greatest.

2, -7, 3, -9, -14, -8, 0, -10, -25


will mark the best answer or 1st answered brainliest or whatever

Answers

Answer:

-25, -14, -10, -9, -8, -7, 0, 2

Step-by-step explanation:

You do thing and it work

-25 , -14 , -10 , -9 , -8 , -7 , 0 , 2 , 3

*URGENT*
PLEASE HELP ILL GIVE BRAINLIEST !!!!!!

Answers

just multiply the given x values by the function rule, that’s how you get ur y

The perimeter of a rectangle is 84 cm. If the length is 29 cm write an equation you can use to answer this question

Answers

Answer:

The perimeter of a rectangle has the general formula P=2L+2W. Since you know P and L, you can plug those values into the formula and solve for W.

Hope this answer is right!!

Answer:

Width: 13

Area: 42

Step-by-step explanation:

A rectangle has equal opposite sides, so if you know one side, you know that the opposite side will be the same. Then you can subtract it from the perimeter, and divide the remaining number in half because it represents the other opposite sides. If you were trying to find the area, do that to find the length and width. 29x13=42, so the area is 42. If you were trying to find the width, that would be 13 because

29+29=58

84-58=26

And 26/2=13

PLEASE HELP I'LL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

3

Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Answers

Answer:

No.

Step-by-step explanation:

33^2 + 56^2 is not equal to 66^2. I squared these numbers because that is how I can find out and see if the Pythagorean Theorem (a^2 + b^2 = c^2) is true for this.

Answer:

no , it is not a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 66 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

33^2 + 56^2 = 66^2

1089 + 3136 = 4356

4225 = 4356

since both sides are not equal it can be concluded that the given side lengths does not form right triangle.

PLEASE HELP QUICKLY!!! There is a tree standing in the desert; the sun is rising to the east.

Answers

a. As sun peeks, it creates a straight line- sun to tree to shadow, angle=180°
b. During morning, the sun-tree-shadow changes from 180° to 90°, during noon, angle =90°.During sunset the angle changes from 90 to 0°.
c. Acute angles created in afternoon.
d. A right angle would be created at noon.
e. Obtuse angle would be created in morning.
f. Yes, a straight angle would be created at sunrise.
g. When sun is at mid-morning, the angle=45°+90°= 135°

An airplane covers 1824 km in an hour How much distance will it cover in 3.7 hours​

Answers

Answer:

6748.8 km

Step-by-step explanation:

in 1 hour = 1824

in 3.7 hour = 1824×3.7

=6748.8 km

Find the value of A

Answers

Answer:

a = 5

Step-by-step explanation:

Angles A and B are the same at 45, a and b are also the same

The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.

sin(A)/a = sin(B)/b = sin(C)/c

Substitute the known values into the law of sines to find a.

SinA / a = sin(90) / 5√2

a = 5

Please help!!
The picture of the question is attached...​

Answers

Answer:

Proved

Step-by-step explanation:

picture above explains it but it requires me 20 words in order to answer this question so don't mind this. (If anyone is willing to help me answer my chemistry question, thanks)

Need to choose answers

Answers

Answer:

Box Number 3.

Step-by-step explanation:

4 is a coefficient in 4x because 4x is really 4*x which has 4 multiplying x. This is the same as 4 working with x. Also none of the other answers are true.

Find the surface area of the triangular prism.

NO FAKE ANSWERS OR LINKS

Answers

Answer

177.62

Step-by-step explanation:

In ▵ABC, if m∠A=80 degree, then m∠c cannot be
A) 80 degree
B) 90 degree
C) 95 degree
D) 105 degree

Answers

Answer:

95

Step-by-step explanation:

jdisusyhsyysysyydyydyyddhdhhdhhdhhd random

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