use the diagram to find the value of x and y​

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is [tex]y=\frac{1}{2} x+1[/tex]

Answer:

[tex]Pr(x) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

And the probability of each is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex]  rewrite as multiplication

[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex]  look to factor

[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex]  , difference of 2 squares and perfect square

[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify

2(x+3)

Answer:

10 students

Step-by-step explanation:

The maximum number is 26 and 16 have already signed up so in order to know how many can join without exceeding the maximum. You subtract 16 from 26. which then leaves you with 10

Answer:

80

Step-by-step explanation:

This is a pentagon (5 sides), n=5

The sum of internal angles equals (n-2)*180 = 540°

We have

A = 90

B = 180-40

C = 180-x

D = 180-60

E = 180-90

Sum all the angles to equal 540°

90 + 180-40 + 180-x + 180-60 + 180-90 = 540

620-x = 540

solve for x

x = 620 - 540 = 80

Answer:

80

Step-by-step explanation:

the answer should be 80 just as mathmate explained

Bye !

Answer:

a₄ = 256

Step-by-step explanation:

Using the given definition , then

a₂ = a₁² = 2² = 4

a₃ = a₂² = 4² = 16

a₄ = a₃² = 16² = 256

Answer:

256

Step-by-step explanation:

a₁ = 2

a₂ = (a₁)² =  2 ² = 4

a₃ = (a₂)² = 4² = 16

a₄ = (a₃)² = 16² = 256

Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:

[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]

Therefore, we have:

[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Answer:

-16

Step-by-step explanation:

Substitute the values into the equation

[tex] = \frac{ ({ - 12 + 4}^{2}) }{ - 4} \\ = \frac{ {( - 8)}^{2} }{4} \\ = \frac{64}{4} \\ = - 16[/tex]

Answer:

B. 31°, 106°, and 43°.

Step-by-step explanation:

the sum of the measures of the angles in a triangle add up to 180°, so:

3x+1+11x-4+5x-7=180

19x-10=180

19x=190

x=10

now that we know x is equal to 10, we can find the three angle measures:

3x+1 ->  3(10)+1 = 31°

11x-4 ->  11(10)-4 = 110-4 = 106°

5x-7 ->    5(10)-7 = 50-7 = 43°

so, the answer is B.

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]slope = \frac{w - 2}{0 - ( - 1)} \\ \\ \therefore \: 6 = \frac{w - 2}{0 + 1} \\ \\ \therefore \: 6 = \frac{w - 2}{1} \\ \\ \therefore \:w - 2 = 6 \\ \\ \therefore \:w = 6 + 2 \\ \\ \therefore \:w = 8\\ \\ [/tex]

Answer: 6y is your answer

Step-by-step explanation:

[tex] \sqrt{36 {y}^{2} } [/tex]

[tex] = 6y[/tex]

Because √36=6

and,√y²= y

Answer: B) y=2x+1

Step-by-step explanation:

These are in slope intercept form which is y=mx+b

where m is the slope and b is the value of the y intercept

Since the y-intercept is 1 on this line that leaves us with A, B, and C

Using the communitive property on the equation in C we can make the equation go from y=1-2x to y=-2x+1

This is the same answer as A and since there can't be two of the same answer leaves B as the only possible answer.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]B)\text{ } y=2x+1[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

We can double check by algebraically working it out:

[tex]\boxed{\text{Slope:}}\\\\\text{Two points on the graph are } (-2,-3) \text { and } (1,3).\\\\m = \frac{3-(-3)}{1-(-2)}\\\\m= \frac{6}{3}\\\\\boxed{m=2} \\\\\text{The slope is 2.}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Y-Intercept:}}\\\\\text{The line passes through point (0, 1). The y-intercept is 1.}[/tex]

⸻⸻⸻⸻

[tex]\text{Using a slope intercept equation, we can develop the equation: } \boxed{y =2x+1}[/tex].

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

46 degrees

Step-by-step explanation:

Angles 4 and 6 are consecutive interior angles which means that they are supplementary. Angle 6 is equal to 180-134, so angle 6 is 46 degrees.

Add the file first cause there is none

Answer:

angle 1=94 degree

Step-by-step explanation:

-x + 106=5x + 34 (they are alternate interior angles)

106-34=5x+x

72=6x

72/6=x

12=x

substitute the value of x in 5x + 34

5*12 + 34

60+34

94

Now,

angle 1 =5x +134 ( they are vertically opposite angles)

angle 1=94 degree

Answer:

ANGLE 1= -X+106

ANGLE 1= 5X+34

5X+34. =-X+106

5X+X. =106-34

6x=72

X=12

angle 1= 5x+34

=(5×12)+34

=60+34

=94

Answer:

58988

Step-by-step explanation:

3556+55432

=58988

Answer:

hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol

Answer:

∠ MLK = 34°

Step-by-step explanation:

The tangent- secant angle MLK is half the difference of the measures of the intercepted arcs, that is

∠ MLK = [tex]\frac{1}{2}[/tex] (129 - 61)° = 0.5 × 68° = 34°

Answer: $36.3

Step-by-step explanation:

Since Christopher bought 3 toy trucks that costs $14.25 each. Then, the cost of the three toys will be:

= 3 × $14.25

= $42.75

Then, if he used a coupon for 15% off of the total purchase, then the final purchase will be:

= $42.75 - (15% × $42.75)

= $42.75 - (0.15 × $42.75)

= $42.75 - $6.4125

= $36.3375

= $36.3

Answer:

A = 125º

Step-by-step explanation:

Missing angle is the supplement of 157.5

180 - 157.5 = 22.5

----------------------------

Sum of angles in triangle is 180

22.5 + (-10x) + (-x + 20) = 180

Combine like terms

-11x + 42.5 = 180

Subtract 42.5 from both sides

-11x = 137.5

Divide both sides by -11

x = -12.5

---------------------------

A = -10(-12.5)

A = 125º

Answer:

(-29,-27.4)

Step-by-step explanation:

2p+59=1

     -59 -59

2p=-58

/2     /2

p=-29

5p+139=2

     -139 -139

5p=-137

/5      /5

p=-27.4

Answer:

Step-by-step explanation:

The vertex is always at the highest point of the parabola or the lowest point, depending upon which way it opens. Ours opens upwards, so the vertex is a min (aka, it's at the lowest point). That lowest point is located at (-1, 3), choice B.

Answer:

13 Rungs

Step-by-step explanation:

According to the Question,

The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.

Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.

Answer:

$15,728.24 will be left in the account after 5 years.

Answer:

Step-by-step explanation:

Question 11

1 / 1 pts

You deposit $1500 in a savings account that pays interest at an annual rate of 6%.  No money is added to or withdrawn from the account.  How much will be left after 5 years?

answer = 2,007.34 GOT IT RIGHT