Which of the following statements must be true based on the diagram below

Answer:

-5/4

Step-by-step explanation:

.......................

     The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (-8 - (- 3)) ÷ (-2 - (-6))    

                                          =   - ⁵/₄

Checking my answer:  

Finding the Equation  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                ⇒  y - (-3) =  - ⁵/₄(x - (-6))

                                        y + 3 =  - ⁵/₄ (x + 6)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.

Slope-Intercept Form: y = mx + b

---m is the slope

---b is the y-intercept

y = 8/3x + 5

Hope this helps!! :)

y = 8/3x + 5

hope this helps !! :)

Answer:

(x-2)(x-2) or (x-2)^2

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.

If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.

Answer:

Keep in mind that x has a coefficient of 1.

x² = 9² = 81

-x² = - 1 · 9² = -1 · 81 = -81

(-x)² = (-9)² = 81

x² = -6² = -36

-x² = - 1 · -6² = -1 · 36 = -36

(-x)² = (-1 · -6)² = 36    

Answer:

r+51 peppers

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle TPQ,

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]

Now, We know

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]

[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]

Answer:

0=(-x+1)(x+6)

Step-by-step explanation:

Answer:

i hope its help you

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex] \red{ \rule{50cm}{0.01cm}}[/tex]

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

let's solve ~

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex] \red{ \rule{50cm}{0.01cm}}[/tex]

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

Answer:

angle relationship: same-side interior

value of x: 40

Step-by-step explanation:

the horizontal lines are parallel and the vertical line is the transversal, so 3x+x+20=180. combine the x's and subtract 20 from both sides to get 4x=160. then divide both sides by 4 to get x=40.

Answer:

Explanations (4) Similarity is a quality of scaling: two shapes are similar if you can scale one to be like the other, like these triangles ABC and DEF. Since all circles are of the same shape (they only vary by size), any circle can be scaled to form any other circle. Thus, all circles are similar!

Step-by-step explanation:

Welcome

Answer\

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

multiply length times width l x w

length is 10

width is 6

10 x 6 is 60

Answer:.

Step-by-step explanation:

Answer: roughly 40 percent

brainliest !!!

Answer:

C- 10+x=14

Step-by-step explanation:

Answer:

-6,-6 because -7x-1 would be -6x

Step-by-step explanation:

Answer:

-i

Step-by-step explanation:

[tex]i^{2}[/tex]=-1,[tex]i^{3}[/tex]=[tex]i^{2}[/tex]*i=-i

Answer:

1 hour

Step-by-step explanation:

am i right

Answer:

see explanation

Step-by-step explanation:

A translation of 6 units up means adding 6 to the y- coordinate

A translation of 3 units left means subtracting 3 from the x- coordinate

The translation rule is (x, y ) → (x - 3, y + 6 ) , then

A (- 1, 2 ) → A' (- 1 - 3, 2 + 6 ) → A' (- 4, 8 )

B (1, 5 ) → B' (1 - 3, 5 + 6 ) → B' (- 2, 11 )

Answer:

Equilateral triangle

Step-by-step explanation:

All the angles are equal. So, it is and equilateral triangle and each angle is 60

Answer:

x = -4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = -4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 5 from both sides.

Step 3: Divide both sides by -7.

Step 4: Check if solution is correct.

Therefore, x = -4.

Step-by-step explanation:

2k - (3k - 3k) = 2k

please give me a brainliest answer

Answer:

2k

Step-by-step explanation:

Because all the values in our equation have the same variable, k, we can simply combine them.

We can begin with the first part of the equation:

2k - 3k

As you can see, we have to subtract, so 2 - 3 = -1, therefore, our answer right now is :

-1k, or -k

Now, we add on our other part of the equation:

-1k + 3k

We have to add now, so -1 + 3, which is the same as 3 - 1, equal 2. So, our most simplified form of this number sentence is:

2k

Hope this helps :)

x/17.1 = 1.7/1.8

x = 17.1*1.7 /1.8

Height of tree = 16.15 m

Answer:

6

Step-by-step explanation:

We can use the points on the line to find the slope

(0,-1) and (1,5)

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = (5 - -1)/(1-0)

   = (5+1)/(1-0)

    = 6/1

   = 6

Answer:

m = 6 units

Step-by-step explanation:

To get from point (0, -1) to point (1, 5) that are on the line we have to go up 6 units and 1 unit to the right

slope = rise /run = 6/ 1 = 6

Answer:

letter A

Step-by-step explanation:

because that's my favorite letter

Answer:

126°

Step-by-step explanation:

1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.

2. Now, we know that adjacent of 54 is 126. Also, we know that [tex]l[/tex] ║ [tex]m[/tex] ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.

Answer:

a) Vertical.

Step-by-step explanation:

There is no value of ln x <= 0.

The asymptote ix x = 0 (that is the y-axis).

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees.

a.

90 + 2x + (3x - 20) = 180

90 + 2x + 3x - 20 = 180

70 + 5x = 180

5x = 110

x = 22

b.

2(22) = 44

c.

The interior angles of a triangle add up to 180 degrees.

please give me a brainliest answer