b. Factorize using middle term break 3d2 - 16dc – 12c2

Answer:

11

Step-by-step explanation:

√121=11 so right answer is B

Answer:

(5x-1)(3x+2)

(if you don't want to do all of this you can use

Step-by-step explanation:

((3•5x2) +  7x) -  2

Factoring  15x2+7x-2

The first term is,  15x2  its coefficient is  15 .

The middle term is,  +7x  its coefficient is  7 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   15 • -2 = -30

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   7 .

     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1

     -3    +    10    =    7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  10

                    15x2 - 3x + 10x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (5x-1)

             Add up the last 2 terms, pulling out common factors :

                   2 • (5x-1)

Step-5 : Add up the four terms of step 4 :

                   (3x+2)  •  (5x-1)

            Which is the desired factorization

Answer:

(5x-1)(3x+2)

Step-by-step explanation:

hope this helps!!

Proof:

Consider [tex]\triangle WXZ, \triangle YZX:[/tex]

[tex]\overline W\overline X = \overline Y\overline Z[/tex] (given)

[tex]\angle WXZ = \angle YZX[/tex] (alternate angles are equal, [tex]\overline W\overline X\parallel \overline Y\overline Z[/tex])

[tex]\overline Z \overline X[/tex] is a common side

∴ [tex]\triangle WXZ \cong \triangle YZX[/tex] (SAS)

Hope this helps :)

Answer:

The answer is 1

Step-by-step explanation:

Start by solving the division part of the equation. In order to do that, you have to flip the fraction (reciprocal) and switch from division to multiplication, thus getting 3 x 3 = 9. Now you have 9 – 9 + 1, and from there you can simply work from left to right and get your final answer: 1.

Answer:

95

Step-by-step explanation:

The equation is

x×2=285-x

3x=285

x=95

Answer:

x = 75°

Step-by-step explanation:

There are many Circle Geometry Rules. We will be using the following:

The angle at the centre of the circle is twice the angle at the circumference.

x = the angle opposite 285 - x.

This means that 360 - (285 - x) = 2x

360 - 285 + x = 2x

75 + x = 2x

We can simplify this by taking away x from both sides.

75 = x

We can check this by substituting x into the orginal equation.

360 - (285 - x) = 2x

360 - (285 - 75) = 2 * 75

360 - 210 = 2 * 75

150 = 2*75

150 = 150

Answer :

Should be this I’m not sure though

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is an algebra expression. What we do is write it down in simplest form.

1. Write down equation

= 17 - 3 x n

= 3 x n + (-17)

I hope this answer helped. Have a great day everyone!

Answer:

24:56

Simplified: 8:7

Step-by-step explanation:

Answer:

A) 15x - 12

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

5x(3 - 12x) - 3(4 - 20x²)

Step 2: Simplify

Answer:

B

Step-by-step explanation:

I looked it up

The line with equation y=−2x+7 is rotated 90° clockwise about the origin, the coordinates of the image of its y-intercept is D  (−7,0).

The intersection of the graph of the function with the y-axis gives y-intercept of that function.

The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

To find the y-intercept of the line y=-2x+7. When x=0 we have that y=-2·0+7, y=7,

then point (0,7) is the y-intercept.

When we rotate this line 90° clockwise about the origin, then point (0,7) will be placed on the x-axis in positive x-direction.

Rotation preserves the distances, then the coordinates of the image are (7,0).

The correct choice is D  (−7,0).

Learn more about y-intercept here:

https://brainly.com/question/16540065

#SPJ2

Answer:

4/3 or 1.3

Step-by-step explanation:

y= 3x-4

To find x- intercept/zero, Substuite y=0.

0= 3 x -4

Move the variable to the left-hand side and change its sign

-3x= -4

Divide both sides of the equation by -3

x= 4/3

(1.3 as a decimal)

Answer:

Step-by-step explanation:

sinA = sinB

  a         b

sin(117) = sin(12)

   a             12

a * sin(12) = 12 * sin(117)

a = 12 * sin(117)

         sin(12)

a = 51.4

Answer: The last one - 5 1/3 divided by 1/6

Step-by-step explanation:

since you are trying to figure out how much she runs a day, u divide

Hope this helps :)

Answer:

the last one and the second one I think. Maybe the first one not very sure.

Answer:

Yes it is yellow

Step-by-step explanation:

You are correct

Answer:

54

Step-by-step explanation:

First add 7 to both sides to cancel out the -7

y/6-7(+7)=2(+7)

Then, multiply 6 to both sides to cancel the 6

y/6(6)=9(6)

y=54

Answer:

color = input("What color? ")

if (color == "yellow"):

  print("Correct!")

else:

  print("Nope")

Answer:

$8960

Step-by-step explanation:

Given

principal =  $8000

rate= 3%= 0.03

time = 4 years

Required

the final amount, we assume that this is a simple interest investment.

Step two:

[tex]A= P(1+rt)\\\\A=8000(1+0.03*4)\\\\A=8000(1+0.12)\\\\A=8000*(1.12)\\\\A=8960[/tex]

The final amount in the account is $8960

Answer:

28.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do you have the options?

For the vertical line test, you can only use the X  once per Y. You can not have more than one X.

Answer:

ABFE - 50

BFGC - 25

EFGH - 50

Step-by-step explanation:

Answer:

abfe 50. bfgc 25 efgh 50

Answer:

[tex]T_n = -97n[/tex]

Step-by-step explanation:

The actual sequence is: -97, -194, -291, -388

Required

Determine the nth term

nth term of an arithmetic progression is:

[tex]T_n = T_1 + (n - 1)d[/tex]

Where

[tex]T_1 = First\ Term = -97[/tex]

[tex]d = Common\ Difference = -194 - (-97) =-97[/tex]

So:

[tex]T_n = T_1 + (n - 1)d[/tex] becomes

[tex]T_n = -97 + (n - 1) * -97[/tex]

[tex]T_n = -97 -97n + 97[/tex]

Collect Like Terms

[tex]T_n = -97n + 97-97[/tex]

[tex]T_n = -97n[/tex]

Hence, a term of the sequence is:

[tex]T_n = -97n[/tex]

Answer: total cost of the estimated  items = $76

Step-by-step explanation:

 Step 1

Rounding up each item to the next dollar

Book 1 = $8.95 ≈ $9.00

Book 2 = $11.95≈ $12.00

Book 3 = $22.25≈$22.00

Book 4 =   $24.95≈$25.00

Calendar = $8.25 ≈$8.00

Step 2

The total estimated cost of items in Emma's shopping basket =$9.00+$12.00+$22.00+$25.00+$8.00

=$76  which did not exceed the amount of bookstore gift card of $80 sent by her grandmother.

Answer: 78$

Actual                            Estimate

$8.95 --------------------------$9.00

$11.95--------------------------$12.00

22.25--------------------------$23.00

$24.95------------------------$25.00

 $8.25--------------------------$9.00

Then add the estimate numbers to get $78