Describe the difference between vertical angles and linear pairs of angles

The fromula of a slope:

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

We have A(4, 3) and m = 3.

(0, 3)

[tex]\dfrac{3-3}{0-4}=0\neq3[/tex]

(5, 0)

[tex]\dfrac{0-3}{5-4}=\dfrac{-3}{1}=-3\neq3[/tex]

(3, 0)

[tex]\dfrac{0-3}{3-4}=\dfrac{-3}{-1}=3\qquad CORRECT[/tex]

(0, 0)

[tex]\dfrac{0-3}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}\neq3[/tex]

9 to the power of three, or cubed = 720 which is between 600 and 800.

The number you're looking for would be a decimal between approximately 8.375 and 8.6. When these numbers are cubed, they fall in the range of 600 to 800.

The question at hand is asking about cubing a number to get a result that is larger than 600 but smaller than 800. We are looking to find the cube root of numbers in this range. The integer cube roots closest to this range are the cube root of 512 (which is 8) and the cube root of 729 (which is 9).

However, neither of these is a number that you could cube to end up in the 600 to 800 range. Therefore, the desired number is not a whole number, but a decimal. If you estimate, any number between 8.375 and 8.6, when cubed, should meet the condition—meaning it would be larger than 600 but still less than 800.

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She takes 20 seconds

Answer: A.  20 seconds  

Step-by-step explanation:

We know that if a function has a repeating pattern then it is called a periodic function (like sine or cosine).

The period is the length of the smallest interval that contains exactly one copy of the repeating pattern. It is the horizontal distance required for the graph of a periodic function to complete one cycle.

From the graph it can be seen that, the horizontal distance required for the graph of a periodic function= 20 .

Therefore,  it takes 20 seconds by Callie to complete one full swing.

To find the circumference of the circle, we need to know its radius. However, in this question, we are given the area of a square instead. We can use the relationship between the circle and square to solve the problem.

To find the circumference of a circle, we need to know its radius.

However, in this question, we are given the area of a square instead.

We can use the relationship between the circle and square to solve the problem.

First, let's find the side length of the square. The area of the square is given as 144 m².

We can find the side length by taking the square root of the area: √144 = 12 m.

Since the square and circle are related, the side length of the square is equal to the diameter of the circle.

Therefore, the radius (r) of the circle is half of the side length of the square, which is 6 m.

Now, we can find the circumference (C) of the circle using the formula C = 2πr.

Substituting the value of the radius, we get C = 2 × 3.14 × 6 ≈ 37.68 m.

Rounded to the nearest tenth, the circumference of the circle is approximately 37.7 m.

Final answer:

To calculate the circumference of the circle from the area of the square, we find the diameter of the circle (equal to the side length of the square) and divide it by two to get the radius. We then apply the formula C = 2πr using 3.14 for π to find the circumference, which is 37.7 m to the nearest tenth.

Explanation:

To find the circumference of the circle when the area of the square is 144 m², we need to understand the relationship between the square and the circle. First, let's determine the side length of the square. The area of the square (A) is given by the formula A = a², where a is the side length of the square. If the area is 144 m², we take the square root of 144 to find that a = 12 m. Now, since the circle fits perfectly inside the square, the diameter of the circle is equal to the side length of the square, which is 12 m. Hence, the radius (r) of the circle is half of that, so r = 6 m.

Now, we use the formula for the circumference of a circle, which is C = 2πr. Substituting the value of π with 3.14 and r with 6 m, we get C = 2 * 3.14 * 6. This results in a circumference of 37.68 m. To give the answer to the nearest tenth, we round it to 37.7 m. Therefore, the circumference of the circle is 37.7 m.

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

[tex]50q+43 > -11q+70[/tex]

Solve for q

Adds 11 q both sides

[tex]50q+43 +11q > 70[/tex]

[tex]61q+43 > 70[/tex]

Subtract 43 both sides

[tex]61q > 70-43[/tex]

[tex]61q > 27[/tex]

Divide by 61 both sides

[tex]q > \frac{27}{61}[/tex]

The solution is the interval ------> (27/61,∞)

All real numbers greater than 27/61

In a number line the solution is the shaded area at right of 27/61 (open circle)

Answer:

x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

Step-by-step explanation:

Solve for x:

2 x^2 - 5 x + 5 = 0

Hint: | Using the quadratic formula, solve for x.

x = (5 ± sqrt((-5)^2 - 4×2×5))/(2×2) = (5 ± sqrt(25 - 40))/4 = (5 ± sqrt(-15))/4:

x = (5 + sqrt(-15))/4 or x = (5 - sqrt(-15))/4

Hint: | Express sqrt(-15) in terms of i.

sqrt(-15) = sqrt(-1) sqrt(15) = i sqrt(15):

Answer: x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

The quadratic equation has an imaginary roots, which is can be calculated using the quadratic formula.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic equation:

2x² - 5x + 5=0

Here a = 2, b = -5, and c = 5

[tex]\rm x = \dfrac{-(-5) \pm\sqrt{(-5)^2-4(2)(5)}}{2(2)}[/tex]

[tex]\rm x = \dfrac{5 \pm\sqrt{-15}}{4}[/tex]

[tex]\rm x = \dfrac{5 \pm i \sqrt{15}}{4}[/tex]  (√(-15) = 15i; i is the iota)

The roots are:

[tex]\rm x = \dfrac{5 + i \sqrt{15}}{4} \\\\\rm x = \dfrac{5 - i \sqrt{15}}{4}[/tex]

Thus, the quadratic equation has an imaginary roots, which is can be calculated using the quadratic formula.

Learn more about quadratic equations here:

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Answer:

12 total picks, 4 green and 8 orange

Step-by-step explanation:

green(g)=4

orange(O)=2g

since g=4,

O=2(4)

O=8

8+4=12

In order to better find the points on this graph, we need to convert it from standard form to slope-intercept.

We can do that by solving for y.

-7y + 8 = 21x - 6

Subtract 8 from both sides.

-7y = 21x - 14

Divide both sides by -7

y = -3x + 2

Now that the equation is in slope-intercept, we can find two points on the line.

We know that (0, 2) will be the first point, because 2 is the y-intercept.

We can plug 1 into the x value of the equation to find the corresponding y value.

y = -3(1) + 2

y = -3 + 2

y = -1

The second point is (1, -1)

It's the linear function.

The slope-intercept form: y = mx + b.

-7y + 8 = 21x - 6      subtract 8 from both sides

-7y = 21x - 14     divide both sides by (-7)

y = -3x + 2

We need only two points:

for x = 0 → y = -3(0) + 2 = 0 + 2 = 2 → (0, 2)

for x = 2 → y = -3(2) + 2 = -6 + 2 = -4 → (2, -4)

Answer: D

Step-by-step explanation:

   y = x² - 8x + 5

  -5                -5

y - 5 = x² - 8x           complete the square by adding [tex](\frac{-8}{2})^{2}[/tex] to both sides

y - 5 + 16 =  x² - 8x + 16      the right side is a perfect square:  (x - 4)²

y + 11 = (x - 4)²

    -11            -11

y        = (x - 4)² - 11

"More" means you're adding. So the problem would look like this...

3t + 4

I hope this is what you're looking for. :)

y=7 and x=-3c

Tell me if i got it wrong!

note that +(-) is equivalent to -

thus the equation can be written as

n - 11 = 24 ( add 11 to both sides )

n = 24 + 11 = 35

In the given equation (L = 1.25m), 1.25 means that the length of the Maya hair increased by 1.25 centimeters every month.

Given :

The following steps can be used in order to determine the meaning of 1.25:

Step 1 - According to the given data, Maya shaved her head and then began letting her hair grow.

Step 2 - It is also given that, L is the length of the hair in centimeters and m represents the month after she shaved her head.

Step 3 - The equation that represents the given situation is:

L = 1.25m

Step 4 - In the above equation 1.25 means that the length of the Maya hair increased by 1.25 centimeters every month.

For more information, refer to the link given below:

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Answer:

Her commission on that sale is $3,498

Step-by-step explanation:

1. You have the following information given in the problem above:

- She sells the house for $159,000.

- Her rate of commission is 2.2% (0.022).

2. Therefore, to solve this problem you only need to multiply $159,000 by 2.2% (0.022), as following:

[tex](159,000)(0.022)=3,498[/tex] dollars

The volume of the cone can be calculated using fofmula

[tex]V=\dfrac{1}{3}\cdot b\cdot h,[/tex] wher b is the area of the base and h is the hieght.

Multiply the whole equation by 3:

[tex]3V=b\cdot h.[/tex]

Divide this equation by b:

[tex]h=\dfrac{3V}{b}.[/tex]

Answer: [tex]h=\dfrac{3V}{b}.[/tex]

We rearranged the equation v=1/3bh to solve for h, the height of the cone, by first multiplying by 3 to cancel the 1/3 and then dividing by b, resulting in h=3v/b.

The question is asking to Solving for Variable for h in the formula v=1/3bh, where v is the volume of a cone, b is the base area, and h is the height.

To find h, we need to rearrange the equation by first multiplying both sides by 3 to cancel out the 1/3 in front of bh.

So, it becomes 3v=bh.

Then, we divide both sides by b to isolate h, which gives us h=3v/b.

So the height of the cone is h=3v/b.

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In the binomial development, the main problem is calculation of binomial coefficients.

If we want to get term a∧8*b∧2 we see that this is the third member in binomial development (n 2) a∧n-2*b∧2

The given binomial  is ((1/3)a∧2 - 3b)∧6, the first element is (1/3)a∧2, the second element is (-3b) and n=6 when we replace this in the formula we get

(6 2) * ((1/3)a∧2)∧(6-2) * (-3b)2 = (6*5)/2 * ((1/3)a∧2)∧4 *9b∧2= 15*(1/81)*9 *(a∧8b∧2) =

= 15*9* a∧8b∧2 = 135*a∧8b∧2

We finally get numerical coefficient 135

Good luck!!!

The numerical coefficient of the [tex]a^8*b^2[/tex] term in the expansion of [tex]((1/3)a^2 - 3b)^6[/tex] is -45/16.

The numerical coefficient of the [tex]a^8*b^2[/tex] term in the expansion of [tex]((1/3)a^2 - 3b)^6[/tex] can be found using the binomial theorem, which states that [tex](x+y)^n = \sum (n choose k) x^(^n^-^k^) y^k[/tex] where the sum is from k=0 to n. Here, x = [tex](1/3)a^2[/tex], y = -3b, and n = 6.

In the term [tex]a^8*b^2, a^2[/tex] is raised to the 4th power and -3b is raised to the 2nd power. Hence, we are looking for the coefficient in the term in the binomial expansion where [tex](1/3)a^2[/tex] is raised to the 4th power and -3b is raised to the 2nd power.

This can be calculated by multiplying together the coefficient '6 choose 4', the 4th power of [tex](1/3)a^2[/tex], and the 2nd power of -3b.

That leads to coefficient =[tex](6 choose 4)*((1/3)^4)*(-3)^2 * a^8 * b^2[/tex]. After calculation this simplifies to -45/16.

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Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

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

Plug p = 1 and q = 2 into the factored form

10*(p+q) = 10*(1+2) = 10*(3) = 30

As a check, let's plug those p,q values into the original expression

10*p+10*q = 10*1+10*2 = 10+20 = 30

We get the same output of 30

A=wl

32 times 28=  896

i converted the feet and inches into just inches btw

we know that

distributive property of multiplication over addition:

[tex]a \times (b+c)=a \times b + a \times c[/tex]

now, we will verify each options

option-A:

3 × (4 + 5) = (3 × 4) + (3 × 5)

We can see that both sides match with property

so, this is TRUE

option-B:

3 × (4 + 5) = (3 + 4) × (3 + 5)

We can see that right side does not match with property

so, this is FALSE

option-C:

3 × (4 + 5) = (3 × 4) + 5

We can see that right side does not match with property

so, this is FALSE

Answer:

3.16 units

Step-by-step explanation:

It has been given that the triangles JKL and the triangle RST are congruent.

That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.

Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are [tex](-1,-2)[/tex] and [tex](2,-1)[/tex].

The length of the side RS is equal to the distance between point R and S.

RS [tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]= \sqrt{(2-(-1))^2+(-1-(-(-2))^2}[/tex]

[tex]=\sqrt{3^2+(-1+2)^2}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}=3.16[/tex]

Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.

Answer:

sq root of 10 over 2

Step-by-step explanation:

took it on edge

C. 26 degrees Celsius

Answer:

The temperature on the thermometer is 26°C

Step-by-step explanation:

The image is very clear.

To answer this question you need to know the scale of the thermometer.

As between 20 and 30 there are 5 "spaces" (four lines) , we should divide

10 (the difference between 30 and 20) by 5.

10/5= 2

So each line means 2 °C

As there are 3 lines painted in red after 20, the answer is:

20+3*2= 26°C

To find the time it takes for the area to be at least 5 times its original size, we need to solve an equation involving the rates of increase for the length and width of the rectangle. The original area is 32 km² and the rates of increase are both 3 km/sec. By substituting these values into the equation and solving for time, we can determine the answer.

To determine how long it takes for the area A to be at least 5 times its original size, we first need to find the original area and then solve for the time it takes for the area to reach 5 times that value.

The original area is equal to the length multiplied by the width, so it is A = 4 km * 8 km = 32 km².

Let's denote the rate at which the length and width increase as dl/dt and dw/dt respectively. We know that dl/dt = dw/dt = 3 km/sec.

To find the time it takes for the area to be 5 times its original size, we need to solve the equation 32 + 3l(t) * 3w(t) = 5 * 32, where l(t) and w(t) are the length and width at time t.

Simplifying the equation, we get 9lw - 160 = 0.

Since we're given the rates at which l and w increase, we can substitute l and w with their formulas: l(t) = 4 + 3t and w(t) = 8 + 3t.

Substituting these formulas into the equation, we get 9(4 + 3t)(8 + 3t) - 160 = 0.

Solving this equation will give us the value of t, which represents the time it takes for the area to be at least 5 times its original size.

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positive correlation

plz rate me

Answer:

Hello! I believe that this will help you find the line best fit.  

Step-by-step explanation:

Remember, for it to be a line best fit, you must find the two points that you think will be on the "line best fit".

The truth value for the following conditional i.e., conjunction statement P is false and Q is true is False.

Answer:

Step-by-step explanation:

This conditional statement:

Has a truth value of true if:

And has a truth value of false, if

Then, for this statements:

As both p and q are true, then, this statement is true.

As p is true and q is false, this statement is false.

As p is false, this statement is true, no matter the truth value of q.

∼p its the negation of p. if p is true, then ∼p is false. And this statement is true, no matter the truth value of q.

2 1/9 divided 2/3 = 19/6 OR 3 1/6

3/5 divided 1 1/4 = 12/25

7 9/16 divided 2 3/4 = 11/4 OR 2 3/4

Answer:

2 1/9 divided 2/3 = 19/6 OR 3 1/6

3/5 divided 1 1/4 = 12/25

7 9/16 divided 2 3/4 = 11/4 OR 2 3/4

Step-by-step explanation:

Step 1.  Subtract 4y from both sides

5y + 18 - 4y = -3.2

Step 2. Simplify 5y + 1.8 -4y to y + 1.8

y + 1.8 = -3.2

Step 3. Subtract 1.8 from both sides

y = -3.2 - 1.8

Step 4. Simplify -3.2 - 1.8 to -5

y = -5

Your answer is A.

[tex]5y+1.8=4y-3.2\qquad|\text{subtract 1.8 from both sides}\\\\5y=4y-5\qquad|\text{subtract 4y from both sides}\\\\\boxed{y=-5}\to\boxed{a.}[/tex]