Write an equation of the line in point-slope form that passes through the given points.
(5,5) and (6,7)
An equation of the line is

Answer:

(x-8) is the factor.

Step-by-step explanation:

The given trinomial is [tex]x^{2}-6x-16[/tex].

We need to find the factor of this trinomial.

[tex]x^{2}-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)[/tex]

The factors of [tex]x^{2}-6x-16[/tex] is (x-2) and (x-8).

So, the factor of [tex]x^{2}-6x-16[/tex] is (x-8). Hence, the correct option is (B).

Answer:

x=3

Step-by-step explanation:

arrow KPQ=30+x, arrow KRQ=360-30x-50=310-50

angle P= (310-30x)÷2

310-30x=2×110

x=3

Answer:

28

Step-by-step explanation:

Use the pythagorean theorem and solve for a:

a² + b² = c²

a² + 21² = 35²

a² + 441 = 1225

a² = 784

a = 28

So, the missing length is 28.

Answer:

-7 × 6

Step-by-step explanation:

-7×6 = -42

-7+6= -1

hope u can understand

[tex] \frac{14}{36} \times 522 \\ = 203km \\ \\ [/tex]

Answer:

Step-by-step explanation:

A. m<1 + m<2 + m<3 + m<4 = 360

B. The sum of the measures of angles of a triangle is 180°

C. The measure of all right is 90°

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

9514 1404 393

Answer:

  False; the triangle is "right"

Step-by-step explanation:

The segments lying on lines x=1 and y=-3 make a right angle with each other. The triangle is a right triangle, not an acute triangle.

Answer:

Q||R

Answer:

Q||R

(11x-28) +(7x-8) = 180

x = 54

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

To go from 20 to 1, you must divide 20 by 20. So, to find n, you must divide 60 by 20

Given that,

The ratio of acid and water is 1 : 5.

A bottle contains 228 ml of the mixture.

To find,

How much water were needed to make this amount of mixture.

Solution,

Let acid is x and water is 5x. ATQ,

x+5x = 228

6x = 228

x = 38

Acid = 38 mL

Water = 5x

= 5(38)

= 190 mL

Hence, 190 mL of water is needed.

Answer:

205

Step-by-step explanation:

Answer:  2.05 dollars

=================================================

Work Shown:

1 quarter = 25 cents

5 quarters = 125 cents .... multiply both sides by 5

1 dime = 10 cents

8 dimes = 80 cents .... multiply both sides by 8

(5 quarters) + (8 dimes) = (125 cents) + (80 cents) = 205 cents

205 cents = 205/100 = 2.05 dollars

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

Another way to approach the problem is to compute

5*25 + 8*10 = 205

that's the total number of cents

Answer:

2.996

Step-by-step explanation:

14.98 * 0.20 = 2.996

Hope this helps!

Should be D. F(X) = 1 over x+1

Answer:

D)F(x)=1/x+1

Step-by-step explanation:

Where

Domain x≠ -1

Vertical intercept (0,1)

I am 100% sure you can go with it

Step-by-step explanation:

48 us the correct answer

Answer:

48

Step-by-step explanation:

Answer:

[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]

Step-by-step explanation:

Column Vector

Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.

It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).

The vector directed from A to B is found by subtracting its corresponding coordinates:

[tex]\overrightarrow{AB }=<2-6,7-4>[/tex]

[tex]\overrightarrow{AB }=<-4,3>[/tex]

Now we express the vector as a one-column matrix as follows:

[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]

Answer:

There will be 200 pieces of candy in the big bag.

Answer:

:)

Step-by-step explanation:

Part A: To get an equation into standard form to represent the total amount  rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.

Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by

y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}

Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.

This means that the line modeling this situation crosses points at (2, 125) and (5, 275).

The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by

y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50

But if you are writing the equation in standard form it would be  

50x - y = -25

Part B:

When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).

If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by

y = 50x + 25.

Writing the equation using the function notation would give us this

f(x) = 50x + 25

Part C:

To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.

The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.

Answer:

$2.18

Tell me if I'm wrong :) Hope this help too!

Step-by-step explanation:

Answer:

Option 4: $2.18

Step-by-step explanation:

Lets first analyse our given information. We know that:

- Original Cost Per Jug: $0.80

- Mark Up cost: 150%

- Sales Tax: 9%

Answer:

42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2x³ - x² - 4x + 9

x = 3

Step 2: Evaluate

Answer:

x ≤ 5

Step-by-step explanation:

This one is pretty easy

Answer:

$262.5

Step-by-step explanation:

We are told that:

A credit card company charges a 3.5% transfer fee to transfer a balance to a new account.

The transfer fee be for a balance transfer of $7,500 is calculated as:

3.5% × $7500

= 3.5/100 × $7500

= $262.5

The transfer fee for a balance transfer of $7500 is $262.5

Answer:

Should be 129,37333333

Answer:

Step-by-step explanation:first you divide 530.2/3=176.73, then you subtract 47.36=129.37

Answer:

f(-5) = -81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -x² + 10x - 6

f(-5) is x = -5

Step 2: Evaluate

Answer:

3

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] / [tex]\frac{2}{9}[/tex] =

[tex]\frac{2}{3}[/tex] * [tex]\frac{9}{2}[/tex] =

3

Hope this helped! <3

Answer:

12

Step-by-step explanation:

4/5 * 15

~Rewrite

4/5 * 15/1

~Multiply

60/5

~Simplify

12

Best of Luck!

Answer:

[tex]x^2+12x-220=0[/tex] -- Proved

[tex]x = 10\ \ \ x = -22[/tex]

Step-by-step explanation:

Given

[tex]Volume = 924cm^3[/tex]

[tex]Dimension: 4cm; (x+1)cm; (x+11)cm[/tex]

Required

Show that [tex]x^2+12x-220=0[/tex]

The volume is calculated as:

[tex]4 * (x + 1) * (x + 11) = 924[/tex]

Open the brackets

[tex](4x + 4) * (x + 11) = 924[/tex]

[tex]4x^2 + 44x + 4x + 44 = 924[/tex]

[tex]4x^2 + 48x+ 44 = 924[/tex]

Collect Like Terms

[tex]4x^2 + 48x+ 44 - 924=0[/tex]

[tex]4x^2 + 48x -880=0[/tex]

Divide through by 4

[tex]\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0[/tex]

[tex]x^2+12x-220=0[/tex]

Solving further:

Expand the expression

[tex]x^2 + 22x - 10x - 220 = 0[/tex]

Factorize:

[tex]x(x + 22) - 10(x + 22) = 0[/tex]

[tex](x - 10)(x + 22) = 0[/tex]

Split:

[tex]x - 10 = 0;\ \ \ x + 22 = 0[/tex]

[tex]x = 10\ \ \ x = -22[/tex]

Answer:

whats the drop down answers

Step-by-step explanation: