1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vovikov84 [41]
3 years ago
8

11. Write an equation for a line that is parallel to the line 6x - 3y = 15 and goes through the point

Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

y = 2x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 3y = 15 ( subtract 6x from both sides )

- 3y = - 6x + 15 ( divide all terms by - 3 )

y = 2x - 5 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = 2x + 8 ← equation of parallel line

You might be interested in
88 feet/second = 60 miles/hour. How many feet per second is 1 mile? (Hint: divide both side of the equation by the same amount.)
zalisa [80]

Answer:

1 mile/hour is equivalent to 1.47 feet/seconds

Step-by-step explanation:

Given

88 ft/s= 60 miles/hr

Required

Determine the equivalent of 1 mile/hour

88\ ft/s= 60\ miles/hr

Express 60 as 60 * 1

88\ ft/s= 60 * 1\ mile/hr

Divide both sides by 60

\frac{88\ ft/s}{60}= \frac{60 * 1\ mile/hr}{60}

\frac{88\ ft/s}{60}= 1\ mile/hr

Reorder

1\ mile/hr = \frac{88\ ft/s}{60}

Divide 88 by 60

1\ mile/hr = 1.46666666667\ ft/s

Approximate to 3 significant figures

1\ mile/hr = 1.47\ ft/s

Hence;

1 mile/hour is equivalent to 1.47 feet/seconds

8 0
3 years ago
find two numbers that have square roots between 7 and 8. one number should have a square root closer to 7 and the other should h
Bad White [126]

Step-by-step explanation:

7 = √49

8 = √64

So any positive integer between 50 to 63, both inclusive, have a square root between 7 and 8.

8 0
3 years ago
The graph of f (x) = x + 5 is a vertical translation 5 units
irakobra [83]

Answer:

A horizontal translation of 5 units to the left.

Step-by-step explanation:

Given the parent linear function:

\displaystyle f(x)=x

To shift vertically n units, we can simply add n to our function. Hence:

f(x)=x+n

So, a vertical shift of 5 units up implies that n=5. So:

f(x)=x+5

As given.

However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:

f(x-n)=(x-n)

Where n is the horizontal shift.

For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:

f(x-1)=(x-1)

Or:

f(x)=x-1

We notice that this is also a vertical shift of 1 unit downwards.

Therefore, we want a number n such that -n=5.

So, n=-5.

Therefore, it we shift our function 5 units to the left, then n=-5.

Then, our function will be:

f(x-(-5))=(x+5)\text{ or } f(x)=x+5

Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.

7 0
3 years ago
What is the volume of a cone (in cubic inches) of radius 5 inches and height 3 inches? Use 3.14 for π. Round your answer to the
Nimfa-mama [501]

Answer:

157.00

Step-by-step explanation: The reason for this answer is acually really easy because if you take 5 and 3 into googles calculator it'll show

4 0
3 years ago
Read 2 more answers
Solve equation by using the quadratic formula.<br> 2x2 + 13x = 0
Nadusha1986 [10]
THE answer is 17 because 2X2= 4+13= 17
Your Welcome :D
5 0
3 years ago
Read 2 more answers
Other questions:
  • The ratio of the number of Jackie's pink T-shirts to the number of her purple T-shirts is 4:3. Which of the following cannot be
    8·2 answers
  • The number of raffle tickets the student council sold over three days
    8·1 answer
  • What two numbers multiply to negative 18 and add to negative 3
    13·1 answer
  • QUESTION 1
    6·1 answer
  • Which number sentence is true?
    15·1 answer
  • Callie loves flowers. She picks 4 tulips for every daisy she picks. Callie's mom also gave her 6 tulips this week from her garde
    14·2 answers
  • Select all ratios equivalent to 3:2.<br> 4:6<br> 25:20<br> 27:18
    10·2 answers
  • Enzo and beatriz are playing at thier local arcade incredibly enzo wins 5 tickets form every game. And beatriz wins 11 thickets
    13·1 answer
  • 3y+4y+6=20 solve variable. include steps, also check your answer!
    15·1 answer
  • Can someone help me it will for sure help alot someone who is confident on doing it WILL GIVE BRAINLIEST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!