Find the area of this parallelogram.

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

Standard form of a parabola:

Let's find the vertex of this parabola.

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

Simplify using PEMDAS.

Subtract 4 from both sides.

Now we have (h, k) and a of the vertex form.

In order to convert from vertex to standard form, simplify the equation by FOILing.

Distribute 3 inside the parentheses.

Combine like terms.

Therefore, we have the answer:

Vertex form:

Standard form:

Given:

The function is

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

To find:

The correct ordered pairs.

Solution:

We have,

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

For x=3,

[tex]g(3)=(\dfrac{1}{5})^3[/tex]

[tex]g(3)=\dfrac{1}{125}[/tex]

So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].

For x=-2,

[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]

[tex]g(-2)=(5)^2[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-2)=25[/tex]

So, the ordered pair is [tex](-2,25)[/tex].

For x=1,

[tex]g(1)=(\dfrac{1}{5})^1[/tex]

[tex]g(1)=\dfrac{1}{5}[/tex]

So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].

For x=-1,

[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]

[tex]g(-1)=(5)^1[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-1)=5[/tex]

So, the ordered pair is (-1,5). This is the correct answer.

Therefore, the correct option is D.

Answer:

11.76 ft or 12 ft

Step-by-step explanation:

tan 30= x/12            tan 22=  x/12

x= 6.92                    x= 4.84

6.92+4.84=11.76ft

11.76 rounded to the nearest foot= 12ft

Answer:

1,620,000 meters

Step-by-step explanation:

Speed-   450 meter----- 1 second

1 minute = 60 seconds

60 minutes (1 hour) = 3600 seconds

Distance in 1 hour

1 ------ 450

3600---- X

X= 3600 x 450

x= 1,620,000 meters

Answer:

4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

I hope this helps!

The area of a shape is the amount of space it can occupy.

The areas of the shapes are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

(a) Triangle

Given that:

[tex]Base = 27cm[/tex]

[tex]Height = 16cm[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 27cm \times 16cm[/tex]

[tex]Area = 216cm^2[/tex]

(b) Square

Given that:

[tex]Length = 17.6mm[/tex]

The area is:

[tex]Area = Length^2[/tex]

[tex]Area = (17.6mm)^2[/tex]

[tex]Area = 309.76mm^2[/tex]

(c) Semi-circle

Given that:

[tex]diameter =44in[/tex]

First, calculate the radius (r)

[tex]r = 0.5 \times diameter[/tex]

[tex]r = 0.5 \times 44in[/tex]

[tex]r = 22in[/tex]

The area is:

[tex]Area = \frac{\pi r^2}{2}[/tex]

[tex]Area = \frac{3.143 \times (22in)^2}{2}[/tex]

[tex]Area = 760.61in^2[/tex]

(d) Triangle

Given that:

[tex]Base = 20.4in[/tex]

[tex]Height = 14.6in[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 20.4in \times 14.6in[/tex]

[tex]Area = 148.92in^2[/tex]

Hence, the areas are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

Read more about areas at:

https://brainly.com/question/16418397

9514 1404 393

Answer:

  log₁₂(4)

Step-by-step explanation:

The applicable rule of logarithms (to the same base) is ...

  log(a^b) = b·log(a)

__

Then the expression simplifies as follows:

  [tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]

Answer:

7h+3=45

Step-by-step explanation:

Answer:

what the question

.

.

.

.

.

Answer:

the sale is an increase of 10 cars. 10 is 20% of 50 so therefore the dealer had an increase of 20% in sales.

6

Step-by-step explanation:

Answer: x=6

Step-by-step explanation: 3(x+2)=24

(3)(x)+(3)(2)=24

3x+6=24

3x+6−6=24−6

3x=18

3x/3=18/3

x=6

Answer:

2nd option is the right answer

Answer:

a, b, and d

Step-by-step explanation:

you can have the same output, but not the same input

Answer: a, b, d

Step-by-step explanation:

the x values (input values) CANNOT be the same in a set of coordinates; if they do have the same x values, then the are not a function.

both c and e have some of the same x values so they can't pass the vertical line test and therefore are not functions.

hope this helps!!

Answer:

8 and 9

Step-by-step explanation:

8^2 is 64 and 9^2 is 81 so 8 and 9

Answer:

n-2=10

n=10+2

n=12

please thnx my answer

Answer:

12

Step-by-step explanation:

n - 2 = 10

(add 2 to the other side (Addition property of equality))

10 = n

Answer:

you would see which bank has a good business and have loyal customers and which one is giving you a better offer

Step-by-step explanation:

HOPE THIS HELPED!

Answer:

e.

Step-by-step explanation:

Answer:

=-1/6

Step-by-step explanation:

-1/2 + (3/4 * 4/9)

3/4 * 4/9 = 12/36

12/36 simplify to 1/3

-1/2 + 1/3 = -1/6

Answer:

all real numbers greater than or equal to -3

Step-by-step explanation:

Range:  output values of a function (y-values)

Given function:

[tex]f(x)=\dfrac{3}{4}|x|-3[/tex]

This is an absolute value function so |x| ≥ 0

Therefore, as |x| ≥ 0:

[tex]\implies \dfrac{3}{4}|x|\geq 0[/tex]

[tex]\implies \dfrac{3}{4}|x|-3\geq -3[/tex]

So the range of the given function is [-3, ∞):

all real numbers greater than or equal to -3

Answer:

The correct option is;

[tex]\ \underset{JS}{\rightarrow} \right |[/tex]

Step-by-step explanation:

The given diagram consists of a a starting point, J having a direction passing through the point S and the line has one arrowhead on the right pointing to infinity, which is the symbol for a ray, JS

The denotation of a ray is made by the name of the ray having an overhead arrow as follows;

ray [tex]\ \underset{JS}{\rightarrow} \right |[/tex]

Option B is correct that is [tex]\overrightarrow{JS}[/tex].

It has magnitude, direction, and follows the law of vector addition.

As the direction is given from J to S. our JS vector becomes [tex]\overrightarrow{JS}[/tex].

Thus, option B is correct that is [tex]\overrightarrow{JS}[/tex].

More about the vector link is given below.

https://brainly.com/question/13188123

Answer:

The required answers are 2, 6 and 5/4respectively

Step-by-step explanation:

5x-2=8

or, 5x=10

or, x=2

4x-3=2x+9

or, 2x=12

or, x=6

6x+3=2x+8

or, 4x=5

or, x=5/4

Answer:

The correct answer is 100 minutes or 1 hour and 40 minutes

Step-by-step explanation:

Answer:

6, i think

Step-by-step explanation:

Answer:

2

3/4 + 3/4= 6/4 which goes into 8 twice

Answer:

9 free-throws

Step-by-step explanation:

75% of 36 = 27

36-27=9

She could have missed up to nine free throws

Answer:

3

Step-by-step explanation:

25% of 12 is 3. Brainliest pls :)

Answer:

y=-2x+5

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

First, subtract 4x from both sides. You will get 2y=-4x+10. Then divide both sides by 2 to isolate the y. You will get y=-2x+5.

Answer:

8 servings

Step-by-step explanation:

12 times 8 is 96 servings

Answer:

x=56

(I do not know 100% but give it a try)

Step-by-step explanation:

You need to input the vertical angles and see what the supplementary angles are and then you get your answer. 180-60=x    180-60= 120   120-40-24= 56

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691