All categories

3 years ago

How to convert (x+6)(x-2) to standard form

Mathematics

1 answer:

Aleks [24]3 years ago

8 0

The standard form is ax² + bx + c = 0

To convert it in standard form, multiply it.

(x+6)(x-2)

x² - 2x +6x -12

x² + 4x -12 = 0

Now this is in the standard form where,

a = 1

b = 4

c = -12

You might be interested in

Hi, could someone please help me with this Math problem, Thank you.

Naddik [55]

<h3>Explanation:</h3>

18. The 5 only needs to be "distributed" to terms that are inside the parentheses where 5 is on the outside. Here, the only term in the parentheses is 2x. Anne apparently also multiplied -3 by 5, erroneously. The -3 term is not inside the parentheses, so should be left alone when "distributing" the 5.

The left side of the equation simplifies to 10x -3, so Anne should have had ...

10x -3 = 20x +15

-18 = 10x . . . . . . . . . add -15-10x

-1.8 = x . . . . . . . . . . divide by 10.

The solution is x = -1.8.

___

19. Procedure: Subtract the right side of the equation from both sides. Use the distributive property as many times as necessary to eliminate parentheses. Collect terms. Divide by the coefficient of x. Subtract the constant.

5[3(x+4) -2(1 -x)] -x -15 = 14x +45 . . . . . . . original equation

5[3(x+4) -2(1 -x)] -x -15 -14x -45 = 0 . . . . . right side subtracted

5[3x+12 -2 +2x] -x -15 -14x -45 = 0 . . . . . . inner parentheses eliminated

15x +60 -10 +10x -x -15 -14x -45 = 0 . . . . . outer parentheses eliminated

(15 +10 -1 -14)x +(60 -10 -15 -45) = 0 . . . . . like terms associated

10x -10 = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . simplified

x - 1 = 0 . . . . . . . . . divide by the coefficient of x

x = 1 . . . . . . . . . . . . subtract -1 (same as add 1)

The solution is x = 1.

5 0

3 years ago

Secant TP and tangent TR intersect at point T Chord SR and chord PO intersect

DochEvi [55]

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

$TQ$ X TP=TR^2$

$10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6$

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall: x=11.6

2y=4 X 11.6

2y=46.4

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

The correct option is C

4 0

4 years ago

Pablo's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Pablo $5.50 per pound, and type

alexandr402 [8]

Answer:

We know blend A costs 5.50 and blend B costs 4.30. We know that Pablo made 153 pounds of coffee this month. Let's let A=amount of blend A used and B=amount of blend B used. Since he made 153lbs coffee, we know that

A+B=153.

But he spent 756.30. The total amount he spent on a blend of coffee is the price * amount used. So he spent 5.50*A on blend A and 4.30*B on B, so in total, he spent 5.50*A+4.30*B in coffee. But this must add to 756.30! So

5.5A+4.3B = 756.30

Now we have two equations:

A+B = 153

5.5A + 4.3B = 756.30

We need to solve for B. I hate decimals so let's get rid of them in the second equation by multiplying both sides of the equation by 100 (which simply moves the decimals on everything two to the right). So now we have

A+B = 153

550A + 430 B = 75630

Now let's multiply the first equation by 550 (so we can eventually get rid of pesky A). So multiply the left and right side of the first equation by 550, so we have

550A + 550B = 84150

550A + 430B = 75630

Now subtract the second equation from the first, notice that since both have 550A, they cancel, so we obtain

120B = 8520

Now divide by 120 into both sides to solve for B, we get

B= 8520/120 = 71

So Pablo used 71lbs of blend B.

Step-by-step explanation:

Hope this helps you!!!!! :D

8 0

3 years ago

*HELP QUICK BEST FIRST PERSON WILL BE NAMED BRANLIEST*

Viktor [21]

Answer:

Step-by-step explanation:

length = 6 x 1/3 = 2 inches

width = 4 x 1/3 = 4/3 inches

height = 8 x 1/3 = 8/3 inches

volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches

Another approach is the following:

There are 6 x 4 x 8 = 192 cubes inside the prism,

Each cube has a volume of 1/27 cubic inches.

Therefore total volume = 192 x 1/27 = 192/27 = 9

4 0

3 years ago

Which theorems and postulates can be used to determine if lines are parralel

solong [7]

Answer:

Step-by-step explanation:

Two lines are parallel if they have the same slope. Two parallel lines never intersect.

7 0

4 years ago