This one as well, does anyone know the answer?

Answer:

r = 2.5

Step-by-step explanation:

Consider the y- coordinates of the plotted points

1 , 2.5 , 6.25

The common ratio r is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5

By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.

Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -

AC² + BC² = AB²

AC² + (3√3)² = 6²

AC² = 9

AC = 3

So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -

M = ((0+6)/2, (0+0)/2) = (3, 0)

Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -

N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)

Now find the equation of the line passing through M and C, which is the line containing median AM -

slope = (3√3 - 0)/(3 - 0) = √3

y - 0 = √3(x - 3)

y = √3x - 3√3

And find the equation of the line passing through N and A, which is the line containing median CN -

slope = (0 - 3√3)/(0 - 6) = √3/2

y - 0 = (√3/2)(x - 6)

y = (√3/2)x - 3√3

Now, find the intersection point of these two lines, which is point P -

√3x - 3√3 = (√3/2)x - 3√3

x = 6/3.5

x = 12/7

y = √3(12/7) - 3√3

y = 3√3/7

So P is located at (12/7, 3√3/7).

Now use the distance formula to find the length of CP:

CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²

CP² = (33/7)^2 + (6√3/7)^2

CP² = 1089/49 + 72/49

CP² = 1161/49

CP = √1161/7

Therefore, the length of CP is (approximately) 3.43.

To learn more about Pythagoras Theorem from the given link

https://brainly.com/question/21970437

#SPJ1

Answer:

the figure A was rotated 145° over the origin(0,0), and flipped over the x-axis, and for last it was moved 4 to the right and 1 down (x+4,y-1)

Answer:

A.  21.

Step-by-step explanation:

4x + 2 = 31 + 55  (external angle of a triangle theorem).

4x + 2 = 86

4x = 86 - 2

4x = 84

x = 84/4 = 21.

Answer:

£114

Step-by-step explanation:

Rate brainliest please

[tex] \frac{57}{360} \times 720 = 114[/tex]

Answer:

$3672

Step-by-step explanation:

3060 x 20% = 612

612 + 3060 = 3672

Answer:

16.50

Step-by-step explanation:

2.50 + 3(3) + 2(3.50) = 2.50 + 9 + 5 = 16.50

Answer:

2

Step-by-step explanation:

One thing on flour costs $2.50

Three things of shredded cheese costs $9.00

$9.00 + $2.50=11.50

$18.50-11.50=$7.00

$7.00/$3.50=(2)

Answer:

33

Step-by-step explanation:

3*4*2.75=33

The Triangles are congruent by SAS Criteria.

The step by step explanation is there in the image I attached.

Hope it helps you....

Please mark as brainlliest!!!

Answer:

Step-by-step explanation:

Given:

Required equations:

Solve by elimination, multiply the first equation by 10 and subtract from the second equation:

Find p:

Let's take the given as,

→ q = quarters (25)

→ d = dimes (10)

→ 1320 will be the amount

→ q + d = 72

→ 25q + 10d = 1320

Now we can solve for q,

→ (25q - 10q) + (10d - 10d) = 1320 - (10 × 72)

→ 15q = 1320 - 720

→ 15q = 600

→ q = 600/15

→ [ q = 40 ]

From this equation,

→ q + d = 72

We can solve for the d,

→ 40 + d = 72

→ d = 72 - 40

→ [ d = 32 ]

There are 40 quarters & 32 dimes.

Answer:

9.5 hours

Step-by-step explanation:

Step-by-step explanation:

回答 你今天在做什么 我父亲是一个地球仪 并将其邮寄给今日印度的中央政府组 为年轻人提供在线学习 答案是肯定的 我不确定你是否

Answer:

Step-by-step explanation:

Six times as much as 7 is equal to 42 would be the equation

Answer:

Opposite angles are equal

Corresponding angles are equal

Angles on straight lines adds to 180

Angles in triangle adds to 180

180-98=82

82+85=167

180-167=13

Answer is 13

Hey there!

“Which one of is greater 0.375 or 3/8?”

3/8

= 3 ÷ 8

= 0.375

.375 = 0.375

0.375 = 0.375

So, therefore NEITHER is greater because both numbers are EQUIVALENT to (EQUAL to) each other

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

⅜ = 0,375

3 ÷ 8 = 0,375

0,375 = 0,375

True.

Answer:

So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic ...

Answer:

true

Step-by-step explanation:

i just plugged in 2 for x. 40% chance im right lol

Answer:

true

Step-by-step explanation:

Answer:

What do you mean, I'll help.

Step-by-step explanation:

Step-by-step explanation:

Formulas and Formats we'll be using:

Slope Formula: [tex]m=\frac{y2}{x2} -\frac{y1}{x1}[/tex]

Slope-Intercept form: [tex]y=mx+b[/tex]

m = slope

b = y-intercept

Substitute (-6, 10) and (-3, -2) into the slope formula:

[tex]m=\frac{-2}{-3} -\frac{10}{-6}[/tex]

Simplify:

[tex]m=\frac{-12 \div 3}{3 \div 3}=\frac{-4}{1}[/tex]

[tex]m=-4[/tex]

*Per every -4 y, x increases by 1.

Points Included:

(-6, 10)

(-5, 6)

(-4, 2)

(-3, -2)

(-2, -6)

(-1, -10)

(0, -14)

Y-intercept:

Y-intercept represents x when it's equal to 0.

Using our points, we can determine that the y-intercept is at the point:

(0, -14)

-14 is the y-intercept.

Create a Slope-intercept form equation:

Formula: [tex]y = mx + b[/tex]

Substitute the slope, and y-intercept into the equation:

[tex]y=-4x-14[/tex]

Your equation is: [tex]y=-4x-14[/tex]

Answer:

8900

Step-by-step explanation: :þ

the answer would 1/4 of a gallon

simply because 4 of the containers equals one gallon

Answer:

1.8 meters

Step-by-step explanation:

It was easy for me

Answer:

Step-by-step explanation:

Answer:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1

Answer:

they are perpendicular

Step-by-step explanation: