All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning,
2. Write an equation for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.

Answer:

121cm −25πcm ≈42.46cm

Step-by-step explanation:

First, calculate the area of the whole figure, including the unshaded area.

(The area of a rectangle is the length times the width.)

Next, calculate the area of the inner figure.

π×5cm×5cm=25πcm

Finally, subtract the area of the inner circle from the area of the outer rectangle.

Answer:

The quadratic x2 − 5x + 6 factors as (x − 2)(x − 3). Hence the equation x2 − 5x + 6 = 0

has solutions x = 2 and x = 3.

Similarly we can factor the cubic x3 − 6x2 + 11x − 6 as (x − 1)(x − 2)(x − 3), which enables us to show that the solutions of x3 − 6x2 + 11x − 6 = 0 are x = 1, x = 2 or x = 3. In this module we will see how to arrive at this factorisation.

Polynomials in many respects behave like whole numbers or the integers. We can add, subtract and multiply two or more polynomials together to obtain another polynomial. Just as we can divide one whole number by another, producing a quotient and remainder, we can divide one polynomial by another and obtain a quotient and remainder, which are also polynomials.

A quadratic equation of the form ax2 + bx + c has either 0, 1 or 2 solutions, depending on whether the discriminant is negative, zero or positive. The number of solutions of the this equation assisted us in drawing the graph of the quadratic function y = ax2 + bx + c. Similarly, information about the roots of a polynomial equation enables us to give a rough sketch of the corresponding polynomial function.

As well as being intrinsically interesting objects, polynomials have important applications in the real world. One such application to error-correcting codes is discussed in the Appendix to this module.

Step-by-step explanation:

Answer:

2 + i

Step-by-step explanation:

Given

[tex]\frac{4+\sqrt{16-(4)(5)} }{2}[/tex]

= [tex]\frac{4+\sqrt{16-20} }{2}[/tex]

= [tex]\frac{4+\sqrt{-4} }{2}[/tex]

= [tex]\frac{4+2i}{2}[/tex]

= 2 + i

Answer:

Commission-An instruction/command given to a person or group of people.

Answer:

It’s basically an instruction, command, or role given to a person or group.

Step-by-step explanation:

Answer: 1,000 gigabytes

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

alternate angles are equal

angles in a straight line add upto 180°

therefore angle ABC =80°

But it is alternate to the one at x.

Answer:

x = 80°

Step-by-step explanation:

∠CBD = ∠ABF  

          = 100°

(Vertically opposite angles are equal and AD and EH are parallel with CG cutting across both lines)

∠x = 180°-100°

    = 80°

(∠ABF and ∠x are consecutive interior angles as they are within two parallel lines so they add up to 180°)

Answer:

-8 and 3

Step-by-step explanation:

The asked numbers are -8 and 3.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, two numbers multiply to -24 and add up to -5

Let the two numbers be x and y

x+y = -5...(i)

xy = -24

x = -24/y...(ii)

Put eq (ii) in eq (i)

-24/y + y = -5

-24 + y² = -5y

y²+5y-24 = 0

Factorizing,

y = 8 and 3

Taking y = 3, put it in eq(ii)

x = -24/3

x = -8

Hence, the asked numbers are -8 and 3.

Learn more about equations, click;

https://brainly.com/question/29657988

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Answer:

-5v+3v = -2v

k-2-6+5k = 6k - 8

Step-by-step explanation:

For -5v+3v

-5 + 3 = -2

V is left so it's -2v

For k-2-6+5k

k + 5k - 2 - 6

6k - 2 - 6

6k - 8

1) -5v + 3v

= -2v

2) k - 2 - 6 + 5k

First take all like terms (everything with the same letters):

k + 5k = 6k

6k - 2 - 6

-2 - 6

= -8

6k - 8

Answer:

She will learn 15 appetizer recipes.

Step-by-step explanation:

Here's why........because 2 weeks equals 5 so if you divide 6 and 2 you will get 3 and multiply that by 5 you get 15.

Answer:

i believe it would be 35(1000 x 8.5%)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7 is not a factor of 48, since 7 can not be multiplied by another whole number to get 48. (48 divided by 7 is 6.8)

Answer:

7

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

The last statement is false.

Answer:

1 is false.

Step-by-step explanation:

1. Look at the signs.

2. Look at the number itself. If you are dealing with a positive, you count up to get higher numbers. If you are dealing with a negative(a number with - at the beginning) you count up to get lower numbers.

3. Compare the decimal in the number to the decimal in the other number.

4. Look at the greater-than and less-than signs.

5. Use what you know about positive and negative numbers and decimals and apply that to the statement. If the statement makes sense, it is true. If the statement does not make sense, it is false.

Answer: 4096

Step-by-step explanation:

(2x+i)(2x-1)

Answer:

3

Step-by-step explanation:

simple

Answer:

A

Step-by-step explanation:

Answer:

I would love me a camaro

Step-by-step explanation:

Answer:

First car i wanted my whole  life!!!!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle addition postulate:

angle FGB = 105°

angle BGH = 54°

The measure of angle FGH.

angle FGB + angle BGH = angle FGH

By putting the respected values, we get

105° + 54° = angle FGH

or, 159° = angle FGH

The measure of angle FGH is 159° .

Answer:

The circumference of the tree will be: 25.12 inches

Step-by-step explanation:

The radius of the tree = r = 4 inches

As the tree is sold based on the circumference of the tree.

The formula of the circumference = C = 2πr

                                                               = 2(3.14)(4)     ∵ r = 4 inches

                                                               = 25.12 inches

Therefore, the circumference of the tree will be: 25.12 inches

Answer:

No

Step-by-step explanation:

Answer:

0 cannot go into 4

4 can go into 8

8 cannot go into 12

Answer:

here it is

Step-by-step explanation:

hope you understand

Answer:

Charlotte is right; m=1/3

Step-by-step explanation:

On the graph, you can pick 2 points to find slope with slope formula:

(y2-y1)/x2-x1)

Two points we can choose from the graph are (0,0) and (1,3).

Now we plug these into our formula:

(1-0)/(3-0)

1/3

HTH :)

Answer:

$150

Step-by-step explanation:

Well we know that 10% is going to equal 1/10 of 100%.

So now just multipy 15% times 10 to get the original price.

Answer:

[tex]101 * 102 = 10302[/tex]

Step-by-step explanation:

Given

[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]

Required

Find 101 * 102

[tex]101 * 102 =[/tex]

Express as a sum of 100

[tex](100 + 1) * (100 + 2)[/tex]

Compare this to [tex](x + a)(x + b)[/tex]

We have that:

[tex]x = 100[/tex]

[tex]a = 1[/tex]

[tex]b = 2[/tex]

Recall that:

[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]

Substitute 100 for x, 1 for a and 2 for b

[tex](100 + 1) * (100 + 2) = 100^2 + (1 + 2) * 100 + 1 * 2[/tex]

[tex](100 + 1) * (100 + 2) = 100^2 + 3 * 100 + 2[/tex]

[tex](100 + 1) * (100 + 2) = 10000 + 300 + 2[/tex]

[tex](100 + 1) * (100 + 2) = 10302[/tex]

Hence:

[tex]101 * 102 = 10302[/tex]

Answer:

she can by 5 pounds of raspberries

Step-by-step explanation:

4 - 19 = 15

15 ÷ 3 = 5

Answer:

i need a pic of the graph to tell you the answer

Step-by-step explanation:

There wiuld be 7 winning tickets and 28 losing tickets in the bag

Answer:

21

Step-by-step explanation:

Answer:

24

Step-by-step explanation: