Find the equation of the line. Use exact numbers.

Answer:

Step-by-step explanation:

Area=1/2(bh)

b=x

height=2x-2, units meters

30=(1/2)bh

60=bh=x(2x-2)

2x^2-2x=60

2x^2-2x-60=0

x^2-x-30=0

(x-6)(x+5)=30

x=6 as only positive root.

2x-2=10

Their product is 60 m^2, half of which is 30 m^2

The base is 6 m; the height is 10 m.

Answer:

I think the answer is C but i'm not an expert with this so sorry if you get it wrong :(

Step-by-step explanation:

Answer:

I think is c but I'm not really sure

Answer:

9 hours

Step-by-step explanation:

if they came in at 7:30 a.m and leaves at 11:45 a.m they have been there for 4 hours and 15 minutes.

If they arrive at 12:30 p.m and leave at 5:15 p.m they have been there for 4 hours and 45 minutes

so in total they have been there for 9 hours

Answer:

3*3*3*3*3

Step-by-step explanation:

exponents are how many times a number is multipleid by iteself

Answer:

3*3*3*3*3 = 243

Answer:

The answer to b is 22.5 hands is 3 paces

Step-by-step explanation:

I did it because nobody else would

We want to find equations for changes of units, which allow us to change the units of a given measure to an equivalent value.

a) [tex]C = H*\frac{2c} {9h}[/tex]

b) [tex]P = H*\frac{6p}{45h}[/tex]

--------------------------------

We know two relations:

a) We want to find an equation to express the relationship between hands, h, and cubits, c.

Let's start with the relation:

9 hands = 2 cubits

we can rewrite:

[tex]1 = (2 c)/(9 h)[/tex]

Now suppose that we have a measure in hands, H.

If we multiply this measure by 1, we do not affect the measure, then we have:

[tex]H = H*1 = H*\frac{2c}{9h}[/tex]

Notice that we are dividing by hands, so we are cancelling the hands units, and we are multiplying by cubits, so we changed the units.

Then we can define C as the equivalent measure to H, such that C is in cubits.

[tex]C = H*\frac{2c}{9h}[/tex]

b) Similar to before.

Again, let's use H as a measure in hands.

With the relation:

[tex]C = H*\frac{2c}{9h}[/tex]

We change from hands to cubits.

Now with:

5 cubits = 3 paces.

We can write:

1 = 3p/5c

If we multiply our measure in cubits by the above fraction, we can change the units from cubits to paces, so we will have that P, the equivalent measure to H in paces is given by:

[tex]P = C*\frac{3p}{5c} = H*\frac{2c}{9h}*\frac{3p}{5c}= H*\frac{6p}{45h}\\\\P = H*\frac{6p}{45h}[/tex]

If you want to learn more, you can read:

https://brainly.com/question/19146525

Answer:

C. 6x(x² + 4x - 12)

Step-by-step explanation:

Factor [tex]6x^{2}[/tex] out of [tex]6x^{4}[/tex]

[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] + [tex]24x^{3} - 72x^{2}[/tex]

[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] ([tex]4x[/tex]) [tex]-72x^{2}[/tex]

[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] ([tex]4x[/tex]) + [tex]6x^2[/tex] (-12)

[tex]6x^{2}[/tex]([tex]x^{2}[/tex] + [tex]4x[/tex]) +  [tex]6x^{2}[/tex] (-12)

[tex]6x^{2}[/tex]([tex]x^{2}[/tex] + [tex]4x[/tex] - 12 )

Answer:

Step-by-step explanation:

3x^2 + x + 6x + 2

3x^2 + 7x + 2

Answer:

3x^2 + 7x + 2

Step-by-step explanation:

(x+2) (3x+1)

(x+2) (3x) + (x+2) (1)

3x^2+ 6x + x + 2

3x^2 + 7x + 2

Answer:

$210

Step-by-step explanation:

30*7= 210

Answer: $210

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

1-x+4x=16

1 + 3x = 16

3x = 16 - 1

3x = 15

3x/3  = 15/3

x = 15/3

x = 5

Answer:

-5x

Step-by-step explanation:

Answer: x = 9.8181......

Step-by-step explanation:

(44)x =432

Take out Parentheses:

44x = 432

Divide both sides by 44:

x =  9.8181......

Step-by-step explanation:

AC = AB + BC

25x - 19 = 9x + 7 + 5x + 7

25x - 19 = 14x + 14

25x - 14x = 14 + 19

11x = 33

x = 33/11

x = 3

AB = 9x + 7

= 9(3) + 7

= 27 + 7

= 34

Answer:

8 ig

Step-by-step explanation:

u didnt tell us how much pounds they have

Answer:

B

Step-by-step explanation:

Answer:

80x⁸y³ is your answer. Hope it helps <3

Answer:

7

Step-by-step explanation:

Note the relation between x and y

The values of y are 2 less than the corresponding values of x, that is

x = - 3 → y = - 3 - 2 = - 5

x = 0 → y = 0 - 2 = - 2

x = 1 → y = 1 - 2 = - 1

x = 5 → y = 5 - 2 = 3

Thus

x = 9 → y = 9 - 2 = 7 ← missing value

Answer:

9.1%

Step-by-step explanation:

You can find this answer by dividing 12 by 11. When you do that, you get that  12 is 109.1% percent of 11. 11 is obviously 100% of 11, so it increased by the difference of the two percentages, 109.1-100 = 9.1%

Answer:

Explanation:

There is a theorem in geometry that says:

In a circle, if two chords are equal in measure, then their corresponding minor arcs are equal in measure.

Those small tick marks on each of the chords means that they are equal in measure. So, following the theorem, the arcs are also equal in measure.

If they are equal and

arc AB = arc CB

arc AB = 24 feet

Then

arc CB = 24 feet

by substitution.

Answer:

  see attached

Step-by-step explanation:

Each spot in the triangle is the sum of the two numbers immediately above. The middle number of row 2 will be 1+1 = 2. The two numbers in row 3 will be 1+2 = 3 and 2+1 = 3. It continues like this. The second number in each row is the row number. Each row is symmetrical about the center.

Answer:

7 hours

Step-by-step explanation:

Answer:

v=−1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−14−7(9v+3)=13v+41

−14+(−7)(9v)+(−7)(3)=13v+41(Distribute)

−14+−63v+−21=13v+41

(−63v)+(−14+−21)=13v+41(Combine Like Terms)

−63v+−35=13v+41

−63v−35=13v+41

Step 2: Subtract 13v from both sides.

−63v−35−13v=13v+41−13v

−76v−35=41

Step 3: Add 35 to both sides.

−76v−35+35=41+35

−76v=76

Step 4: Divide both sides by -76.

−76v

−76

=

76

−76

v=−1

Answer:

v = 12.67

95% sure... I could be wrong, though.

Step-by-step explanation:

14-7(9v+3)=13v+41 ​

-14-63v-21=13v+41

-14-21=76v

6=76v

12.67=v

Answer:

1/3 ( 5y-2) = x

Step-by-step explanation:

5y = 3x+2

Subtract 2 from each side

5y -2 = 3x+2-2

5y-2 = 3x

Divide each side by 3

1/3 ( 5y-2) = 3x/3

1/3 ( 5y-2) = x

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

W (-3,-5) and T (2,-2)

The distance between them is

[tex] |WT| = \sqrt{ ({ - 3 - 2})^{2} + ( { - 5 + 2})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 3})^{2} } \: \: \: \\ = \sqrt{25 + 9} \\ = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.830951[/tex]

We have the final answer as

Hope this helps you

Answer:

√34

Step-by-step explanation:

[tex]W (-3,-5) =(x_1,y_1)\\T (2,-2)=(x_2,y_2)\\\\d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(2-\left(-3\right)\right)^2+\left(-2-\left(-5\right)\right)^2}\\\\d=\sqrt{\left(2+3\right)^2+\left(-2+5\right)^2}\\\\d=\sqrt{5^2+3^2}\\\\d=\sqrt{25+9}\\\\d=\sqrt{34}[/tex]

Answer:

25GB was used that month

Step-by-step explanation:

Here, we want to calculate the GB used for the month.

Since we have $59.99 for 20GB, then the extra that brought the bill to $75.99 must have been from the beyond charges.

The extra charges is thus $75.99 - $59.99 = $20

Now, since $4 is charged as extra and we have a total of $20, the number of extra GB is thus 20/4 = 5

So the total GB for that month is 20 + 5 = 25GB

Answer:

y = -3  x = 7

Step-by-step explanation:

2y - 3x = -27

5y + 3x = 6

3x cancels.

7y = -21

y = -3

Substitute y in 2y - 3x = -27

2(-3) - 3x = -27

-6 - 3x = -27

-3x = -21

x = 7

Answer:

The problem implies that we want to write the (average) amount of natural sweeteners consumed per person as a function of time. Let y represent the (average) amount of natural sweeteners consumed per person (in pounds), and let x represent the time measured in years since 1990. That is, x = 0 represents 1990. If y is a linear function of x, then we can use the slope-intercept form y = mx + b (where m is the slope and b is the y-intercept) to write the function.

 The slope can be interpreted as the rate of change of y with respect to x, which in this case means the change in consumption of natural sweeteners per year. The statement that consumption has decreased by 0.6 pounds per year tells us that the slope is m = -0.6  Also, the y-intercept is the same as the y-value of the function when x = 0. (In our case, that means time 0, that is, 1990.) Therefore the y-intercept is b = 133. Hope that helps! Let me know if you have any further questions.

Step-by-step explanation:

Answer:

Y=133+.6x

Step-by-step explanation:

Just did this

Answer:

10

Step-by-step explanation:

Very easy equation if you know how to do it. All you need to do is divide your total amount of something (in this case "150" as that's our amount of "money we're given") by whatever the price or amount is. (In this case 15. Each cartridge costs $15. I'm not amazing at explaining things like this.. Sorry about that. If you have any questions about this feel free to let me know!)

So to put it "all together":

150 ÷ 15 = 10.

10 is your answer.

Hope this helps and have a nice day!