solve the equation
1.2²(4a-8)=16
​

Answer:

Step-by-step explanation:

Rewrite  

9

x

2

as  

(

3

x

)

2

.

(

3

x

)

2

−

16

Rewrite  

16

as  

4

2

.

(

3

x

)

2

−

4

2

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where  

a

=

3

x

and  

b

=

4

.

(

3

x

+

4

)

(

3

x

−

4

)

Answer:

A

Step-by-step explanation:

kapa

Answer:

[tex]\sqrt{3}:3\\1:\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The tangent ratio is defined as:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

The cotangent ratio is defined as:

[tex]\displaystyle \cot\theta=\frac{\text{adjacent leg}}{\text{opposite leg}}[/tex]

As shown above, the tangent and the cotangent are the ratios of the two legs in any possible order.

If the triangle has angles of 30°, 60°, and 90°, then we can take one of the acute angles and find the tangent and cotangent to know the required ratios:

Let's take for example the 30° angle:

[tex]\displaystyle \text{ratio of legs: }\tan 30^\circ=\frac{\sqrt{3}}{3}[/tex]

[tex]\displaystyle \text{ratio of legs: }\cot 30^\circ=\sqrt{3}[/tex]

Thus the possible ratios from the list are:

[tex]\sqrt{3}:3\\1:\sqrt{3}[/tex]

The reciprocals of those ratios are also applicable

Answer:

The influence is there is none

Step-by-step explanation:

Answer:

holy,  thats hard, I will try to do it for you

Step-by-step explanation:

Answer:

slope: 3

y-intercept: 3?

Step-by-step explanation:

Answer:

$6.18 per hour

Step-by-step explanation:

You can get this number by multiplying 0.03 by 6

Answer:

<6 and <8

<1 and <7

Step-by-step explanation:

Supplementary are angles that add up to 180 degrees. (A straight line)

Answer:

h in what?

Step-by-step explanation:

Answer:

The answer is 3

Hope this helps!

Answer:

x = 20

Step-by-step explanation:

Assuming you require the value of x

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

7x - 15 is an exterior angle of the triangle, thus

7x - 15 = x + 28 + 4x - 3 , that is

7x - 15 = 5x + 25 ( subtract 5x from both sides )

2x - 15 = 25 ( add 15 to both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Answer:

yes its a right trinagle

Step-by-step explanation:

well first it has a right corner which is a right angle you can tell by putting your hand like a L

Answer:

80%

Step-by-step explanation:

300/3=100

60/3=20

100-20=80

Answer:

X ≥ 12, (Or A)

Step-by-step explanation:

First, you would do two step equation.

3-2x     ≥   -17

+3        |     +3

----------|------------------

-2x      ≥       -14

Then you divide each side by -2

And you get, X≥12

Which, does not represent any of the graphs.

Answer:

d. Egyptians did not pay tax

Step-by-step explanation:

If the Egyptians were to pay tax from land they would use the area of the land.

Answer:

size I think, sry if wrong(

Answer:

C is correct

Step-by-step explanation:

3+6=9

2 sides on a triangle must be greater than the other side

Answer:

1. 4[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

For question 1, you need to know the ratio between the recipe and the amount in question.

So if in the recipe, it says it uses 3/4 cup of diced ham, and the question uses 1 cup of diced ham, you can divide 1 by 3/4 to get 4/3. This is how many times bigger the amount used in the question than the recipe.

Then it asks for how many cups of potatoes, to do this, you look at the recipe and how many potatoes it uses: 3.5 cups

To solve it then, you just do 3.5 x 4/3 to get 4[tex]\frac{2}{3}[/tex] cups of potatoes

There's your answer.

Answer:

16 hours

because in 16 hours 2 inches per hour it will overflow

Answer:

Step-by-step explanation:

4 boxes with 7 pencils each

26

4*7 = 28

He has 28 pencils in total.

Number of extra pencils

= 28 - 26 = 2

Hope this helped,

Kavitha Banarjee

Answer:

78 adult tickets were sold

2x + x = 234

3x = 234

x = 78

Answer:

23

Step-by-step explanation:

15% of 20 = 3  then add the 3 to the 20 to get 23

23Answer:

Step-by-step explanation:

15/100*20 = 3

20+3 = 23

Answer:

The answer is D.

Step-by-step explanation:

Answer:

the answer is A. $32.23

Step-by-step explanation:

Answer:

$32.00

Step-by-step explanation:

To find the sales tax always multiply the sales tax to to the cost of you item.

Being your sales tax is 4%  you will Multiply 30.99 x .04 (not just 4)

30.99 x .04 = 1.2396  ( round to the nearest tenth) since the number after the 3 is 5 or above ,,,,round it off to 24...Making it $1.24 (tax)  Now add that to your cost of the shoes

$30.99 + $1.24 = $32,23

For future :  if the tax is 10, 20, 35%... You will multiply the cost of item by .10, .20, .35 (put the point in front of it .

Answer:

Multiply both terms of the numbers

hense you would do: 2(9a + 12) = 18a + 24

It doesn't have to be 2 however. If can be any number you want it to be

Step-by-step explanation:

Answer:

12+9a is equivelent to 9a+12 :-)

Step-by-step explanation:

Answer:

the answer is 56

Step-by-step explanation:

Answer:

The measure to angle 2 is 44.

Step-by-step explanation:

The segment towards the bottom is a straight line meaning it should equal 180°. 180 - 68 = 112. A triangle should equal 180° as well... so you add 112 to 24, then subtract that value from 180: 180 - 136 = 44

Answer:

I beleive the answer is C

Step-by-step explanation:

Correct me if im wrong, but im pretty sure c is the most logical answer, next to D

Answer: 120

Step-by-step explanation:

From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.

The number of different ways that the club members can structure the committee goes thus:

This can be solved by:

nCr = n! / r! (n - r)!

where n = 10

r = 3

= n! / r! (n - r)!

= 10! / 3! (10 - 3)!

= (10 × 9 × 8) / (3 × 2)

=120

Answer:

6.5%

Step-by-step explanation:

2,015/31,000 = .065