line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?

Answer:

SinA = CosB

SinB = CosA

CosA = SinB

CosB = SinA

Answer:

We use Pythagoras' theorem:

[tex] \bf {AC}^{2} = {AB}^{2} + {BC}^{2} \\ \\ \bf {AC}^{2} = ( \frac{12}{13})^{2} + ( \frac{5}{13} )^{2} \\ \\ \bf {AC}^{2} = \frac{ {12}^{2} }{ {13}^{2} } + \frac{ {5}^{2} }{ {13}^{2} } \\ \\ \bf {AC}^{2} = \frac{144}{169} + \frac{25}{169} \\ \\ \bf {AC}^{2} = \frac{169}{169} \\ \\ \bf {AC}^{2} = 1 \\ \\ \bf AC = \sqrt{1} \Rightarrow \red{ \boxed{ \bf AC = 1} } [/tex]

Answer:

AC = 1

Step-by-step explanation:

This is Pythagoras' theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

⇒ Th.P ⇒ AC² = AB² + BC²

<=> AC² = (12/13)² + (5/13)²

<=> AC² = 144+25/169

<=> AC² = 169/169

<=> AC² = 1

⇒ AC = √1 = 1.

Answer:

the vertex of the parabola is at (1,2)

Answer:

x=5, y=6

Step-by-step explanation:

By the HL theorem, if the corresponding hypotenuses and one side of two triangles are equal, they are congruent.

So put the hypotenuses equal to each other, and put the side lengths equal to each other.

3x-2=2y+1

x=y-1

Sub 'y-1' into the first equation for x:

3(y-1)-2=2y+1

3y-3-2=2y+1

y=6

x=y-1=6-1=5

Answer:

cool neither do i

Step-by-step explanation:

Answer:

C) Infinitely many

Step-by-step explanation:

7x+3-x=3(1+2x)

6x+3=3+6x

Subtract 3 from both sides

6x = 6x

Infinitely many solutions

Answer:

552

Step-by-step explanation:

Answer:

V = 552 mm^3

Step-by-step explanation:

To find the volume of a prism, you multiply the base and the height. We can write an equation to model the situation:

V = Bh

Where V is the volume, B is the base, and h is the height.

We can substitute the values we have:

V = 92 x 6

V = 552 mm^3

Answer:

The exponential form of [tex]\log_{4} 4 = 1[/tex] is [tex]4 = 4^{1}[/tex].

Step-by-step explanation:

After some research in the web, we find that correct statement is:

Rewrite [tex]\log_{4} 4 = 1[/tex] in exponential form.

We obtain its exponential form by using the definition of logarithm:

[tex]4^{\log_{4} 4} = 4^{1}[/tex]

[tex]4 = 4^{1}[/tex]

Answer: 24% of students

Step-by-step explanation:

6 students divided by 25 total students = 0.24. You would multiply 0.24 by 100 or move the decimal two places to the right to get the percentage. In this case, the percentage would be 24%. 24% of students do not play spring sports.

[tex]6/25 = 0.24 *100 = 24 percent[/tex]

Answer:

a) false, median is 1 for each store

b) false, median at store 2 is 1  

c) true

Step-by-step explanation:

Answer: (9 3/4)= 78/8  is greater than 77/8 = (9 5/8)

Step-by-step explanation:

there for 9 3/4 is 1/8th greater than 9 5/8

Answer:

A. The range of both data sets is 40

Step-by-step explanation:

Range = the maximum value - the minimum value

✔️For the Seventh-Grade Students' data set,

Maximum value = 45

Minimum Value = 5

Range = 45 - 5 = 40

✔️✔️For the Eight-Grade Students' data set,

Maximum value = 45 (the value at the whisker to your far right)

Minimum Value = 5 (value indivl ated by the whisker on your far left)

Range = 45 - 5 = 40

Therefore, the two data sets can be described as having the same range of 40.

Answer:

Answer:

just set the 2 equations equal to each other. answer is 7, 13/3

Step-by-step explanation:

Answer:

D. [tex] y - y_0 = m(x - x_0) [/tex].

Step-by-step explanation:

The equation of a line can be written in the point-slope form if we know the the coordinates of a point the line passes through which is [tex] (x_0, y_0) [/tex]. And if we also know the slope = m of the line.

Therefore, the point-slope equation is given as:

[tex] y - y_0 = m(x - x_0) [/tex]

Answer:

2,2122.64

Step-by-step explanation:

equation -

3.14*(26*26) or 3.14*26^2

26*26=676

676*3.14=2,122.64

Hope this helps :)

Answer:

[tex]10 {}^{2} - 11(10 - 2) \\ 100 - 11 \times 8 \\ 100 - 88 \\ = 12[/tex]

Answer:

joe mama

Step-by-step explanation:

Answer:

Nice

Step-by-step explanation:

but tons of wut'

Answer:

126,300.

Step-by-step explanation:

Answer:

Your answer would be 126,350!

Step-by-step explanation: Since the ones place is directly beside the hundreds place to the right, you would use this number to determine whether you stay or round up. 9 is greater then 5, meaning you round up making the hundreds place a 5. Hope this helps! :)

Answer:

314.96

586.74

Step-by-step explanation:

Answer:314.96; 586.74

Step-by-step explanation:

1 inch = 25.4 millimeters

12.4 x 25.4 = 314.96

23.1 x 25.4 = 586.74

Multiply the number of inches by 25.4 to convert to millimeters :).

Answer:

The answer is Perpendicular

Answer:

6/52 is a reasonable answer

Answer:

11

Step-by-step explanation:

The line plot shows how many people read many many books with the number of "x"s above each number. So, through this graph,  we see that 0 people read 0 books, 5 people read 1 book, 3 people read 2 books, 6 people read 3 books, 3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books. The problem asks how many people read 4 or more books. So, we add up all the people that read 4 or more books shown on the graph, which is 4, 5, 6, 7, and 8.

3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books.

3 + 3 + 2 + 2 + 1 = 11. 11 students read 4+ books.