What is the slope of the line on the graph

Step-by-step explanation:

(18x-44) is x and the answer is: -792

and (13 y -38) you would have to Remove the parentheses.

Answer:

x = 2.4 or x = 0.3

Step-by-step explanation:

3x² - 8x + 2 = 0

Quadratic formula

x = {-b ±√b² - 4ac} / 2a

a = 3

b = -8

c = 2

x = {-b ±√b² - 4ac} / 2a

= {-(-8) ±√(-8)² - 4*3*2} / 2*3

= (8 ± √64 - 24) / 6

= (8 ± √40) / 6

= (8 ± 2√10) / 6

= 8/6 ± 2√10/6

= 4/3 ± √10 / 6

x = 4/3 + √10 / 6 or 4/3 - √10 / 6

x = 2.4 or x = 0.3

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

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To summarize so far, we have these three facts

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

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Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

x³ + ax² + 5x + 3. x + 2 = 0

x = -2

(-2)³ + a(-2)² + 5(-2) + 3 = 0

-8 + 4a - 10 + 3 = 0

4a - 15 = 0

4a = 15

a = 15/4

Answer:

(ab) = 6

Step-by-step explanation:

a = 2 and b = 3

So, (2(3)) or 2 x 3 = 6

Answer: [tex]15.3\ \text{units}[/tex]

Step-by-step explanation:

Given

Coordinates of the corners are D(-2,-1), E(3,2), and F(0,4)

Length DE is

[tex]\Rightarrow DE=\sqrt{(2+1)^2+(3+2)^2}\\\Rightarrow DE=\sqrt{(3)^2+(5)^2}\\\Rightarrow DE=\sqrt{34}\ \text{units}[/tex]

Length EF is

[tex]\Rightarrow EF=\sqrt{(4-2)^2+(0-3)^2}\\\Rightarrow EF=\sqrt{(2)^2+(-3)^2}\\\Rightarrow EF=\sqrt{13}\ \text{units}[/tex]

Length FD is

[tex]\Rightarrow FD=\sqrt{(4+1)^2+(0+2)^2}\\\Rightarrow FD=\sqrt{(5)^2+(2)^2}\\\Rightarrow FD=\sqrt{29}\ \text{units}[/tex]

Perimeter of the triangle is

[tex]\Rightarrow DE+EF+FD=\sqrt{34}+\sqrt{17}+\sqrt{29}\\\Rightarrow DE+EF+FD=15.3\ \text{units}[/tex]

Answer:

32,432,400

Step-by-step explanation:

This you can use a permutation.

P(15,7)15x14x13x12x11x10x9

There are 32,432,400 ways to arrange it.

Answer:

[tex]4( {x}^{2} - 1) - ( {x}^{2} - 8x - 5)[/tex]

[tex]4 {x}^{2} - 4 - {x}^{2} + 8x + 5[/tex]

[tex]3 {x}^{2} + 8x + 1[/tex]

Answer:

A = 20

Step-by-step explanation:

Answer:

81.25

Step-by-step explanation:

Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.

Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.

Finally, add those two distances together so that you know the total distance:

49.75+31.5 = 81.25

Answer:

in the picture

HOPE ITS HELP

Answer:

1.256 million ???

Answer:

For the fifth box, the correct answer is 24.

Since there are 4 different letters, use the formula 1 x 2 x 3 x 4 / {(1) (1) (1) (1)}.

When you solve that, you should get 24/1 or just 24.

Not sure if you have heard of this formula, but it is much more efficient than counting all the possible outcomes.  

For the sixth box, the probability of pulling out the letters in the order of MATH is only one of the possible outcomes out of 24.

Thus, the fraction to represent this is 1/24.

Hope this clears up any misunderstandings.

Answer:

3=140°

Step-by-step explanation:

Answer:

the 2 statistical questions are B and C

Answer:

that is behavior that coefficient

Answer:

the square root of 5=2.2361

Answer:

x = 3

Step-by-step explanation:

I'm assuming x2 = x^2

x^2=6x−9

x^2−6x=−9

Answer:

D. Cubes feet

hope it's right:))

Answer:

should be feet and 3 which is cubed feet D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

n-23

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

there is no right angle

Answer:

No 2

Step-by-step explanation:

Solution :

Let, equation of line is y = mx + c .

Here, m is the slope( or gradient ) of the line and c is the y-intercept .

Putting point ( -6, -10 ) in above equation, we get :

-10 = -6m + c  ...1)

Also, putting point ( -3, -8 ) in above equation, we get :

-8 = -3m + c ...2)

Solving equation, 1) and 2) we get :

[tex]m = \dfrac{2}{3}\ and \ y = - 6[/tex]

Therefore, the gradient for the given x-y table is [tex]\dfrac{2}{3}[/tex] .

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...

Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)

Subtract the values in parentheses to get 4/6

Simplify the fraction to get the slope of  2/3