find the equation of the line in slope-intercept form that has
slope = -1/2 y-intercept = 6

This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.

Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3

-3 plus -3 = -6

-3 times -3 = 9

So this is why x^2-6x+9 = (x-3)(x-3)

We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.

Answer:

C. (x-3)(x-3)

Step-by-step explanation:

x² - 6x + 9 = 0

x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3) (x - 3) = 0

Answer:

To solve this equation first we need to find out how much is 35% of $98.

The percentage of a number is found by multiplying the percentage by the number:

35% x $98 = $34.3

So the 35% off the telescope equals a discount of $34.30.

Now let’s find the price after the discount.

We need to subtract the discount price from the original price:

$98 - $34.30 = $63.70

So we know that the price of the telescope after the discount is $63.70

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Answer:

Step-by-step explanation:

If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;

y is the area of the wetland after x years

In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;

[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]

The area of the wetland in 2 years based on the biologist prediction will be 4225 acres

Answer:

4225

Step-by-step explanation:

Answer:

C=5n

Step-by-step explanation:

A linear function

Directly proportional

Answer:

A. 16 pieces

Step-by-step explanation:

If Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons, after 8 weeks of voice lessons, Jodi be able to sing 16 pieces.

2 x 2 =4

8 x 2= 16

Therefore the answer is 16.

Hope this helps and I explained it well enough !

Have a nice day.

Answer:

-5*(-6) = 30

-27/9 = -3

Step-by-step explanation:

We know a negative times a negative is a positive, a positive times a positive is a positive, and a negative times a negative is a positive. This rule goes the same for division.

Using that rule -5*(-6) = 30. Which is a negative times a negative = positive.

-27/9 = -3 Which is a negative divided by positive = negative

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

Answer:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1

Consider the left side

tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]

= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product

= sin²y + cos²y

= 1

= right side ⇒ proven

Step-by-step explanation:

[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\

LHS

= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\

\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\

= \sin^2y + \cos^2 y \\\\

= 1\\\\

= RHS\\\\

\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]

Hence Proved

Answer:

C 11

Step-by-step explanation:

2y = 12 – 5x

Let x = -2

2y = 12 - 5(-2)

2y = 12 +10

2y = 22

Divide by 2

2y/2 = 22/2

y = 11

Answer:

C11 is the correct answer

Step-by-step explanation:

Answer:

X intercept is (-8,0), Y intercept is (-6,0)

Step-by-step explanation:

The intercept is where the line crosses the X and Y axis, so in this line, the line crosses the x axis at (-8,0) and the y axis at (-6,0).

Answer:

There are two different intercepts in this linear line. The x - intercept would be at (-8, 0), and the y - intercept would be at (0,-6). To find out which is the x - intercept and which is the y - intercept, remember that x is always horizontal and y is always vertical.

Step-by-step explanation:

Answer:

30 years

Step-by-step explanation:

41 minus 11=

Answer:

Shift left 1 and down 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When a discriminant is zero, the quadratic equation has one solution.

Answer: 25%

Step-by-step explanation:

450/1800

Answer:

25 percent is what percent of her income that goes towards her rent

Answer: All angles are congruient to 1

Step-by-step explanation:

So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.

Answer: it is 90

Step-by-step explanation: so they are all congruent

Answer:

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Step-by-step explanation:

Answer:

For a rectangle, you get the length and width and multiply them

For a Square, you have to find one side length and mulitply it by itself

or you can split the square with a diagonal into 2 triangles, get the area of each and add them up

or split the square in half and find the area of both rectangles and then add them together

Step-by-step explanation:

For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25

Answer: 4.722

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

Answer:C, X and Y

Step-by-step explanation:

I just took the test

Answer:

The age of the car in years is the independent variable

The average miles is the dependent variable

Step-by-step explanation:

Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.

Hope this makes sense :)

Answer:

Yes there are more 3-digit numbers that can be divided or not divided by 4, 7, or 9

Step-by-step explanation:

Any real number can be divided by those numbers but you may get decimals as well.

There are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9. Therefore, it's false.

It should be noted that for a number to be divisible by 9 and 7, it has to be divisible by 63. Therefore, we have all the three digit multiple of 63.

In this case, there are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9.

Learn more about real number on:

https://brainly.com/question/155227

#SPJ2

Answer:

Its the First and Last answer on Edg

Step-by-step explanation:

I took the test

Answer:

B

Step-by-step explanation:

you round 33 to 30 and 87 to 90

Answer:

Well I think it's B.. Sorry for the late answer.

Step-by-step explanation:

The answer is 12

Ham, swiss, mustard

Ham, swiss, mayonnaise

Ham, provolone, mustard

Ham, provolone, mayonnaise

Turkey, swiss, mustard

Turkey, swiss, mayonnaise

Turkey, provolone, mustard

Turkey, provolone, mayonnaise

Roast beef, swiss, mustard

Roast beef, swiss, mayonnaise

Roast beef, provolone, mustard

Roast beef, provolone, mayonnaise

Answer:

4.87 × 10-5

Step-by-step explanation:

Hopes this helps.

The answer is 4.87 x 10^-5

Answer:

Step-by-step explanation:

C=5/9(F-32)

Or F-32=9/5C

Put  C=50

F-32=9/5 ×50

F-32=90

F=90+32=122°F

Answer:

The temperature in Carlton was always cooler than in Borden.

Step-by-step explanation:

Answer:

d

Step-by-step explanation: