What is the value of X?

Given:

A line passes through the points (9,9) and [tex](x_2,-1)[/tex].

The slope of the line is [tex]\dfrac{5}{6}[/tex].

To find:

The value of [tex]x_2][/tex].

Solution:

Slope formula:

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

The line passes through the points (9,9) and [tex](x_2,-1)[/tex]. So, the slope of the line is:

[tex]m=\dfrac{-1-9}{x_2-9}[/tex]

[tex]m=\dfrac{-10}{x_2-9}[/tex]

It is given that the slope of the line is [tex]\dfrac{5}{6}[/tex].

[tex]\dfrac{5}{6}=\dfrac{-10}{x_2-9}[/tex]

[tex]5(x_2-9)=-10(6)[/tex]

[tex]5x_2-45=-60[/tex]

[tex]5x_2=-60+45[/tex]

[tex]5x_2=-15[/tex]

Divide both sides by 5.

[tex]x_2=-\dfrac{15}{5}[/tex]

[tex]x_2=-3[/tex]

Therefore, the value of [tex]x_2[/tex] is [tex]-3[/tex].

Answer:

The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect. 

Step-by-step explanation:

Took the "quiz"

(Please mark Brainliest)

Answer:

D).  -5(x + 2)^2 - 2.

Step-by-step explanation:

Parabola which Opens down and vertex (-2, -2) is :

f(x) = a(x + 2)^2 - 2 where a is negative

Stretch by factor 5 gives:

-5(x + 2)^2 - 2.

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

Point-slope equation for line of slope 3 that passes through (1,-2):

y+2 = 3(x-1)

Answer:

Angle B=92

Arc DCB=228

Step-by-step explanation:

Arc DCB intercepts Angle A.

Arc DCB is twice of Angle A so that means Arc dCB=228

Angle C is supplementary so Angle B equal 92.

Answer:

254.34 ft^2

Step-by-step explanation:

The equation for area of a circle is π*r^2, where r is the radius of the circle. So we do 3.14*9^2 for the answer

Answer:

254.34 ft

Step-by-step explanation:

radius (9)

multiply it by itself (9x9)

so then you get 81

then the two radius squared (81) is multiplied by pi (3.14)

Answer:

the answer is .24

Step-by-step explanation:

when you multiply 0.1 x 2.4 it equals out to .24

0.1 x 2.4= .24

Answer:

50 \sqrt[]{2} feet

Step-by-step explanation:

Given the vertices  (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

Using the Distance Formula:

Since 1 Square Unit = 25 Square Feet

1 Unit =5 feet

Therefore, the length of the diagonal

Answer:

Given the vertices  (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

[tex]50 \sqrt[]{2} feet[/tex]

Step-by-step explanation:

Using the Distance Formula:

Since 1 Square Unit = 25 Square Feet

1 Unit = 5 feet

Therefore, the length of the diagonal is, [tex]50\sqrt{2} feet[/tex]

Answer:I'm confused on this but this is what I think it's saying. The absolute value of -18 is 18 and of 0 is 0

Step-by-step explanation:Honestly had no idea what this meant so if this isn't want your looking for please tell me so I can delete my answer

Answer:

Step-by-step explanation:

This figure is called a cyclic quadrilateral. The vertices of all sides lie on a circle.

That's property one.

Property 2 is that the opposite angles add to 180 degrees.

6y - 4 + 5y - 3 = 180 is the y angles. Combine like terms.

11y - 7 = 180                                         Add 7 to both sides.

11y - 7 + 7 = 180 + 7

11y = 187                                              Divide by 11

y = 187/11

y = 17

H = 17 * 6 - 4

H = 102 - 4

H =  98

F = 5y - 3

F = 5*17 - 3

F = 85 - 3

F = 82

=====================

11x + 8 +  8x + 1 = 180

19x + 9 = 180

19x = 171

x = 171/19

x = 9

E = 9*11 + 8

E = 99+8

E = 107

G = 8*9 + 1

G = 72 + 1

G = 73

Answer:

47/9

Step-by-step explanation:

5*9 = 45 +2 = 47

Answer:

Centre = (2, -3)

radius = 5units

Step-by-step explanation:

The standard form of a circle is expressed as;

x²+y²+2gx+2fy+c = 0

Centre = (-g, -f)

radius r = √g²+f²-c

Given the equation;

x²+y²-4x+6y-12 = 0

Compare

2gx = -4x

2g = -4

g = -2

Similarly;

2fy = 6y

2f = 6

f = 3

Centre = (-(-2), -3)

Centre = (2, -3)

Radius = r = √(-2)²+3²+12

r = √4+9+12

r = √25

r = 5 units

Answer:

Part 1: It is not a valid conclusion to say that track and field sports are more popular than soccer based on the survey. The survey was taken at a track and field event so the people that were surveyed are probably biased.

Part 2: A better way of determining which sport is more popular is by counting how many people show up to each event and comparing the results.  

Answer:

4.90

Step-by-step explanation:

Answer:

1. x=0.222222222222 2. x=3

Step-by-step explanation:

1.

3x=2/3

x=2/3/3

x=0.222222222222

2.

15x=36+3x

15x-3x=36

12x=36

x=36/12

x=3

Answer:

1.) x=0.22

2.) x=3

Step-by-step explanation:

Answer:

64 degrees.

Step-by-step explanation:

We are given that angle QRP is 32 degrees.

We are also given that angle PRS is 84 degrees.

Add those two angles to get the measure of angle QRS.

measure of angle QRS= 116 degrees.

Same-side interior angles are supplementary

So,

116+ angle PQR= 180

subtract both sides by 116.

PQR=64

Therefore the measure of angle PQR is 64 degrees.

I hope this helps

Answer:

the answer is O 2 in.

Step-by-step explanation:

Answer:

The answer is " x = - 1 "

Step-by-step explanation:

[tex]9t^{2}[/tex] - 54t + 81 = 36t + 180

^ The you solve the equation

t = 11, t = - 1

^ and then verify the solution

t = - 11 ( False ), t = -1 ( True )

Answer = t = -1

Answer:

A prism is a three-dimensional solid figure with two parallel faces, called bases, that are congruent polygons, and lateral flat faces which are rectangles in a right prism, and are parallelograms in an oblique prism.

Sample response: A triangular prism has a 3-sided base and 3 lateral faces. A rectangular prism has a 4-sided base and 4 lateral faces. The number of sides of the base of a prism is equal to the number of lateral faces of the prism.

 Step-by-step explanation:

Please mark as brainliest! Thanks and have an amazing day!

Answer:

B

Step-by-step explanation:

When flipping, the y-levels of E' and F' do not change, meaning that as they are transferred across the y-axis, they keep their parallel to the original points.

Answer:

105 in

Step-by-step explanation:

I hope this helps u! :D

Answer:

105 inches. yo can u mark brainliest?

Answer:

Step-by-step explanation:

We have the value of the hypotenuse and we are trying to find out the adjacent. This means we can use cos.

Cos (45) = x/10

10 * Cos (45) = 10 * (√2 / 2)

This should equal to 5√2

Answer:

3

Step-by-step explanation:

3 is the largest number that relates to the two numbers.

Answer:

6

Step-by-step explanation:

6x1=6

6x5=30

Answer: 30%

Step-by-step explanation:

Answer:

(-5, 2)

Step-by-step explanation:

The answer is where the two lines intersect