Write an equation of the line that passes through the given point as is (a) parallel and (B) perpendicular to the given line

A. y=
B. y=

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per n seconds

- Need to solve for n

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

[tex]\frac{1.86 * 10^5}{1}[/tex] = [tex]\frac{5.062 * 10^1^3}{n}[/tex]

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

n × (1.86 × 10^5) = 5.062 × 10^13

4. Solve for n by isolating the variable and dividing.

[tex]\frac{n (1.86 * 10^5)}{1.86 * 10^5}[/tex] = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]

n = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]

n = 2.72 × 10^8 (Make sure to include the unit, seconds)

The number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].

Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.

We need to find out how many seconds it takes light to travel from Sirius to Earth.

To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.

Let the number of seconds it takes light to travel from Sirius to Earth be n seconds

Now, the proportion=[tex]\frac{1.86\times10^{5}}{1} =\frac{5.062\times10^{13}}{n}[/tex]

⇒[tex]n=\frac{5.062\times10^{13}}{1.86\times10^{5}}[/tex]

⇒[tex]n=2.72\times10^{13-5}=2.72\times10^{8}[/tex]

Therefore, the number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].

To learn more about scientific notation visit:

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Answer:

7.11 > -7.1

Step-by-step explanation:

Answer:

3inchs

Step-by-step explanation:

So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3

Answer:

d=-11

Step-by-step explanation:

Answer:

A) d = -11

Step-by-step explanation:

d - 7 = -18 (add 7 on both sides)

   +7    +7

d = -11

Hope this helps!!!

Answer:

[tex]133m^2[/tex]

Step-by-step explanation:

What if i say NO?

jk

3*3=9

8+3=11

12-3=9

sp

9*11=99

2 area coverd so far

99+9=108

7*2=14

108+14=122

Lastly the tir

10-7=3

11-3-2=6

6*4=24

24/2=12

[tex]133m^2[/tex]

Answer:

29

Step-by-step explanation:

add 23 to cancel the negative then add 6 to get the final answer

Answer:

29 units.

Step-by-step explanation:

The distance is  6 - (-23)

= 6 + 23

= 29 units.

Answer:

A. 10[tex]\sqrt 11[/tex]

Step-by-step explanation:

Just took the test and got it right! Hope this helps!

The simplified form of expression is  [tex]10\sqrt{11}[/tex].

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Given expression

[tex](\sqrt{22})(5\sqrt{2})[/tex]

= [tex](\sqrt{22} )(\sqrt{25}) (\sqrt{2} )[/tex]

The expression is in the form of [tex]\sqrt{x} .\sqrt{y} .\sqrt{z} =\sqrt{x.y.z}[/tex]

= [tex]\sqrt{22.(25).(2)}[/tex]

= [tex]\sqrt{11.(2).(25).(2)}[/tex]

= [tex]\sqrt{11.(100)}[/tex]

= [tex]\sqrt{100} .\sqrt{11}[/tex]

= [tex]10\sqrt{11}[/tex]

The simplified form of expression is  [tex]10\sqrt{11}[/tex].

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Answer:

8 cm

Step-by-step explanation:

4+4=8 To get the diameter, double the radius and add them together.

Answer:

%50

Step-by-step explanation:

hope this helped luv!

Answer:

d=-13

Step-by-step explanation:

Let's solve your equation step-by-step.

−7(6+d)=49

Step 1: Simplify both sides of the equation.

−7(6+d)=49

(−7)(6)+(−7)(d)=49(Distribute)

−42+−7d=49

−7d−42=49

Step 2: Add 42 to both sides.

−7d−42+42=49+42

−7d=91

Step 3: Divide both sides by -7.

−7d−7=91−7

d=−13

Hope this helps have an amazing day :))

Answer:

1/2k+2=5+5/6k

-3 = 5/6k-1/2k

-3=2/6k

k= -9

Final Answer: [tex]k = -9[/tex]

Steps/Reasons/Explanation:

Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided​.

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

[tex]b.[/tex] [tex]-9[/tex]

[tex]c.[/tex] [tex]9[/tex]

[tex]d.[/tex] [tex]-21[/tex]

Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]

Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).

[tex]3k + 12 = 30 + 5k[/tex]

Step 4: Subtract [tex]3k[/tex] from both sides.

[tex]12 = 30 + 5k - 3k[/tex]

Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].

[tex]12 = 30 + 2k[/tex]

Step 6: Subtract [tex]30[/tex] from both sides.

[tex]12 - 30 = 2k[/tex]

Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].

[tex]-18 = 2k[/tex]

Step 8: Divide both sides by [tex]2[/tex].

[tex]-\frac{18}{2} = k[/tex]

Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].

[tex]-9 = k[/tex]

Step 10: Switch sides.

[tex]k = -9[/tex]

~I hope I helped you :)~

Answer:

40 mi / h = 120 mi / 3h  

Step-by-step explanation:

needed points so i juss looked it up btw its the right answer double checked it wit my smart as$ brother

Answer:

The answer is A

Step-by-step explanation:

I just did a test and got it right!

Answer:

1013500000

Step-by-step explanation:

Addition, mate.

it is 1,013,500,000

Step-by-step explanation:

Answer:

13 + 6i

Step-by-step explanation:

expand the brackets (basically drop them), then rearrange the numbers (8 + 5 + 7i - i) then you will get your answer.

Answer:

7:13

5:8

Step-by-step explanation:

Do 13 minus 5 and that is number of red apples. So the ratio is 8 to 13 total apples. So there are 5 green apples and 8 red apples so it’s going to be 5:8

Answer: 25%

Step-by-step explanation:

Answer:

thats correct

Step-by-step explanation:

i had that on my test and i ot it right

Answer:

it is a 2nd degree trinomial

Step-by-step explanation:

the highest power is the power two, and it has three parts

Answer:

24 total arrangements,  

Step-by-step explanation:

thats all i know for this question, the rest are lost within my brain... somewhere

Answer:25 percent

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

3/12 as a present is 25%

Answer:

Option D is the correct answer

Step-by-step explanation:

Since, diagonals of a rhombus bisects at right angles.

[tex]\therefore m\angle STP = 90\degree \\ [/tex]

9514 1404 393

Answer:

  D)  m∠STP = 90°

Step-by-step explanation:

In general, the diagonals of a rhombus are different lengths and the corner angles are not 90°. (The exception in both cases is when the rhombus is a square.)

However, it is always true that the diagonals are perpendicular bisectors of each other, so all angles at T are 90°.

  m∠STP = 90°

Answer:

7 : 3

Step-by-step explanation:

Answer:

7:3

Step-by-step explanation:

In the big square, there are 100 tiny squares.

There are 70 shaded squares.

There are 30 unshaded squares.

The ratio is 70:30

Simplify by dividing by 10 on both sides.

7:3

Final Answer: [tex]4.69[/tex]

Steps/Reasons/Explanation:

Step 1: You will need to find the perfect square root of a number that is less than [tex]22[/tex]. So [tex]4^{2}[/tex] is [tex]16[/tex].

Step 2: Write down the square root of [tex]16 = 4[/tex].

Step 3: Solve [tex]\frac{22 - 16}{4 * 2}[/tex] which is [tex]0.75[/tex].

Step 4: Add [tex]4 + 0.75 = 4.75[/tex], so [tex]\sqrt{22}[/tex] is approximately ≈[tex]4.7[/tex].

~I hope I helped you :)~

Answer:

Impossible

Step-by-step explanation:

Answer:the answer is the first graph

(0,-4) with a slope of 2

Step-by-step explanation: