Find the vertex and vertex form of
the following:
f(x) = x^2 - 8x+9

Answer:

Step-by-step explanation:

The two angles shown are considered "alternate interior angles" because they lie on the INSIDE of two parallel lines, but on alternate/opposite sides of the transversal line. Alternate interior angles are congruent. You can use transformations to see that they are congruent. Therefore, you should set the two expressions equal to each other and solve for x.

The value of x is 25.

Given,

Line m is parallel to line n

The figure has two alternate interior angles.

- (2x - 10)°

- (65 - x)°

We need to find x.

It states that when two parallel lines are cut by a transversal the resulting alternate interior angles or alternate exterior angles are congruent.

We have ,

From the figure:

Two alternate interior angles.

- (2x - 10)°

- (65 - x)°

Since line m and line n are parallel and from the alternate angles theorem

we see that,

2x - 10 = 65 - x

2x + x = 65 + 10

3x = 75

x = 75/3

x = 25

Thus the value of x is 25.

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Answer:

C

Step-by-step explanation:

The easiest way to solve these problems is usually to just look at the x values and see if any of them appear more than once. If you have 2 or more of the same x value in one set, it isn't a function. If every x value is different, it is a function

Answer: I feel dumb too i dont like your teacher already that question is tooooooo complicated sry :(

Step-by-step explanation:

Answer:

320 mph

Step-by-step explanation:

200/5=40

40x8=320

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. The van travelled 320 miles in 8 hours.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

if a van traveled 200 miles in 5 hours

We need to find how long it travels in 8 hours.

Let x be the distance to travel in eight hours.

Let us make a equation

200/5=x/8

Apply cross multiplication

1600=5x

Divide both sides by 5

1600/5=x

320=x

Hence the van travelled 320 miles in 8 hours.

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Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

Answer:

It should be (67, 68, 69, 70) if im

not mistaken.

Step-by-step explanation:

Answer:

its 13 if i saw the numbers right

Step-by-step explanation:

evaluate then you get the below

1-(-4)x(-3)+12/(-6)

___________

-1

divide and get;

-(1-(4)x(-3)+12/(6))

remove parentheses and divide

-(1+4x(-3)-2)

multiply and get

-(1-12-2)

calculate

-(-13)

remove "()"

and you get 13

Answer:

Non-Linear and there is symmetry

Step-by-step explanation:

Answer:

  congruent, same, same

Step-by-step explanation:

In a rotation, the pre-image & image are congruent.

The corresponding angles have the same measurement.

The corresponding sides have the same measurement.

Answer:

a

Step-by-step explanation:

Given

x² + 2x - 3 = 0 ( add 3 to both sides )

x² + 2x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 3 + 1

(x + 1)² = 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 1 from both sides )

x = - 1 ± 2

Thus

x = - 1 - 2 = - 3

x = - 1 + 2 = 1

Answer:

4.8

Step-by-step explanation:

J/k - 0.2k when j = 25 and k = 5?

25/5 - 0.2 = ?

5 - 0.2 = 4.8

why we start from the division because in the mathematic rule say's

1. start the inner of the bracket

2. arrange the numbers and the variable

3. the exponents

4. multiplication and division

5. subtraction and addition

and if they ask for the variable we should start from the subtraction and addition

Answer:

Equation could you use to determine when Alex and Case will have the same amount of money is [tex]52+4x=35+5x[/tex]

Step-by-step explanation:

Let x be the pairs of mittens when Alex and Case will have the same amount of money

Alex has amount before orders = $52

He will sell 1 pair of mittens = 4

He will sell x pair of mittens = 4x

So, Alex's total amount = 52+4x

Case has amount before orders = $35

He will sell 1 pair of mittens = 5

He will sell x pair of mittens = 5x

So, Case's total amount = 35+5x

ATQ

52+4x=35+5x

52-35=x

17=x

Hence  the pairs of mittens when Alex and Case will have the same amount of money is 17  and equation could you use to determine when Alex and Case will have the same amount of money is [tex]52+4x=35+5x[/tex]

Answer:

65

Step-by-step explanation:

no step by step

Answer: 45

Step-by-step explanation:

31.50/3.5=9 This is how much it cost per pound.

9(5)=45 This shows how much it cost for 5 pounds with each pound costing $9.

Answer:

= -6

Step-by-step explanation:

sngdmmgngngngngngngngngngngnfbfbfbfbfbfbf

Answer: 40 ft by 4 ft

Step-by-step explanation:

See attached picture

Answer:

7 slices.

Step-by-step explanation:

This is an easy division problem. If you remove the decimal places, and use long division accordingly, the answer would be 7 slices.

Answer:

Add 4.75 to both sides of the equation.

Step-by-step explanation:

using the notation from the options in the answer, say the money that Gianna had was m

And she paid  $4.75 for a strawberry smoothie.

then we can calculate the money she had by subtracting the $4.75  paid for a strawberry smoothie from m and equating it to her the balance she has currently

so mathematically

m-4.75=12.34

Add 4.75 to both sides of the equation we have

m-4.75+4.75=12.34+4.75

m=$17.09

The correct answer is

Gianna had $17.09 before she bought the smoothie

Answer:

A. add 4.75 to both sides of the equation.

C. 12.35 + 4.75 = 17.10

Step-by-step explanation:

Answer:

To find an equal ratio, you can divide or multiply by the same number on the top and bottom of the fraction. For example...

5 x 2 = 10

7 x 2    14

So, by multiplying 5 and 7 by 2, 10/14 is another fraction that is equal to 5/7. Here's some more possible answers if you need them...

5 x 3 = 15

7 x 3    21

5 x 4 = 20

7 x 4    28

Hope this helped you c:

The statement that is true based on the information that a school has 625 students and 25 teachers is that the school has a ratio of 25 students to 1 teacher.

According to the question,

We have the following information:

A school has 625 students and 25 teachers.

Now, we have to find the ratio using the given information.

Ratio of students to the teachers can be better understood in simple terms as the number of the students divided by the number of the teachers.

Ratio of students to the teachers = Number of students : number of teachers

Ratio of students to the teachers = 625:25

Dividing both the numbers by 25,

Ratio of students to the teachers = 25:1

So, the school has a ratio of 25 students to 1 teacher.

Hence, the correct option is C.

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

Explanation:

Start by graphing the system of equations

[tex]\begin{cases}x-y = 6\\2x+5y = -4\\ x = -1\end{cases}[/tex]

This is represented as the boundary lines. The first two equations produce solid boundary lines. The last equation makes a dashed boundary line. We use solid boundary lines whenever "or equal to" is involved with the inequality sign.

Note how 7 separate regions result from the intersecting lines. Check out the diagram below to see the different regions.

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

To graph [tex]x-y \le 6[/tex] which is the same as [tex]y \ge x-6[/tex], we will shade in regions 1, 2, 4 and 5. All of these regions are above the boundary line y = x-6

Ignore any other region (3,6, and 7) since they don't make the first inequality true.

Of regions 1, 4, 5 and 6, only regions 4 and 5 are below the boundary line 2x+5y = -4. So we cross off regions 1 and 6.

We're now down to just two regions: 4 and 5

We cross off region 5 because it is not to the right of the vertical line x = -1

All that's left is region 4. Any point in region 4 makes all of the three original inequalities true.

So the solution will only have region 4 shaded like choice D shows.

Answer:

29/24π

Step-by-step explanation:

To get coterminal angles, you simply have to add or subtract 2π

In this problem, we are looking for a coterminal angle that is between

0 and 2π, so we will add 2π to −19/24π.

−19/24π+2π

=

−19/24π+48/24π

=

29/24π

29/24π

is the answer to the question.

[tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).

Coterminal angles are the angles that have the same initial side and share the terminal sides.

To find the coterminal angle of an angle, we just add or subtract multiples of 360 degrees from the given angles.

According to the given question.

We have

Angle = [tex]\frac{19\pi }{4}[/tex]

Since, the coterminal angle is to be between 0 and 2π.

Therefore, we subtract 2π from [tex]\frac{19\pi }{4}[/tex]to get coterminal angle.

⇒ [tex]\frac{19\pi }{4} -2\pi[/tex] [tex]= \frac{19\pi -8\pi }{4} =\frac{11\pi }{4}[/tex]

Hence, [tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).

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Answer:

x= 3π

y= [tex]5\sqrt{4}[/tex]

z= [tex]\sqrt{104}[/tex]

Step-by-step explanation:

3×π= 9.424

[tex]5\sqrt{4}[/tex]= 10

[tex]\sqrt{104}[/tex] = 10.198

Hope this helps! :)

Answer:

x= 3π

y=

z=

Step-by-step explanation:

3×π= 9.424

= 10

= 10.198

Answer:

true!

Step-by-step explanation:

hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.