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4 years ago

What is the equation of the line shown?

Mathematics

2 answers:

Aleksandr-060686 [28]4 years ago

7 0

Answer:

C) y=1/6x

Step-by-step explanation:

Because when x=6, y=1, when x=12, y=2. And when x=18, y=3.

tankabanditka [31]4 years ago

6 0

Answer:

y= 1/6x

Step-by-step explanation:

You might be interested in

8,502,000,000,000 in scientific notation

ElenaW [278]

Answer:

are you supposed to do math

3 0

3 years ago

What's is the answer to the equation 4(x+7)=9(x-1)+22 ?

Aleks [24]

Hello, there!

What's the answer to the equation 4(x + 7) = 9(x - 1) + 22

Answer: x = 3
------------------------------------------------------------------------------------------------------

Explanation:

First, let's simplify this
4 * x = 4x

4 * 7 = 28

Now, we have 4x + 28 = 9(x - 1) + 22

Now, let's simplify the right side by using the distributive property as well.

9 * x = 9x

9 * -1 = -9

Now, we have 4x + 28 = 9x -9 + 22

Let's combine like terms on the right side

-9 + 22 = 13

Npw, we have 4x + 28 = 9x + 13

Let's isolate the x. To do this, we will first subtract 28 from each side.

4x + 28 = 9x + 13
-28 -28

4x = 9x - 15

Now, we will subtract 9x from each side.

4x = 9x - 15
-9x -9x

-5x = -15

Now, we will multiply each side by -1 to make x a positive number.

-5x = -15
*-1 *-1

5x = 15

Finally, we will simplify this completely. To do this, we will divide each side by 5.

5x = 15
--- ----
5 5

x = 3

Our final answer is x = 3

I hope I helped!

Let me know if you need anything else!

~ Zoe

7 0

4 years ago

Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532

IgorC [24]

The answer is chicken $8, duck $5

x - the cost of a chicken
y - the cost of a duck

he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532

50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55 Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8

Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5

5 0

3 years ago

Read 2 more answers

Convert to scientific notation

andreev551 [17]

Answer:

8.245*10^6

Step-by-step explanation:

scientific notation is known as c*10^n

c : any number from 1-10

n : the power of base 10

the number in our case between 1 and 10 is 8.245

but then we want to move the decimal 6 spaces to the right, so we multiply that by 10^6

8 0

4 years ago

Given the general identity tan X =sin X/cos X , which equation relating the acute angles, A and C, of a right ∆ABC is true?

irakobra [83]

First, note that $m\angle A+m\angle C=90^{\circ}.$ Then

$m\angle A=90^{\circ}-m\angle C \text{ and } m\angle C=90^{\circ}-m\angle A.$

Consider all options:

$\tan A=\dfrac{\sin A}{\sin C}$

By the definition,

$\tan A=\dfrac{BC}{AB},\\ \\\sin A=\dfrac{BC}{AC},\\ \\\sin C=\dfrac{AB}{AC}.$

Now

$\dfrac{\sin A}{\sin C}=\dfrac{\dfrac{BC}{AC}}{\dfrac{AB}{AC}}=\dfrac{BC}{AB}=\tan A.$

Option A is true.

$\cos A=\dfrac{\tan (90^{\circ}-A)}{\sin (90^{\circ}-C)}.$

By the definition,

$\cos A=\dfrac{AB}{AC},\\ \\\tan (90^{\circ}-A)=\dfrac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}=\dfrac{\sin C}{\cos C}=\dfrac{\dfrac{AB}{AC}}{\dfrac{BC}{AC}}=\dfrac{AB}{BC},\\ \\\sin (90^{\circ}-C)=\sin A=\dfrac{BC}{AC}.$