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
Irina-Kira [14]
2 years ago
6

IF YOU ANSWER FIRST ILL GIVE BRAINLY

Mathematics
2 answers:
Digiron [165]2 years ago
8 0

Answer:

C

Step-by-step explanation:

We are given;

The equation of a line 6x-2y=4+6y

A point (8, -16)

We are required to determine the equation of a line parallel to the given line and passing through the given point.

One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,

First we get the slope of the line from the equation given;

We write the equation in the form y = mx + c, where m is the slope

That is;

6x-2y=4+6y

6y + 2y = 6x-4

8y = 6x -4

We get, y = 3/4 x - 4

Therefore, the slope, m₁ = 3/4

But; for parallel lines m₁=m₂

Therefore, the slope of the line in question, m₂ = 3/4

To get the equation of the line;

We take a point (x, y) and the point (8, -16) together with the slope;

That is;

Fynjy0 [20]2 years ago
5 0

Answer:

y=

4

3

x−22

Step-by-step explanation:

We are given;

The equation of a line 6x-2y=4+6y

A point (8, -16)

We are required to determine the equation of a line parallel to the given line and passing through the given point.

One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,

First we get the slope of the line from the equation given;

We write the equation in the form y = mx + c, where m is the slope

That is;

6x-2y=4+6y

6y + 2y = 6x-4

8y = 6x -4

We get, y = 3/4 x - 4

Therefore, the slope, m₁ = 3/4

But; for parallel lines m₁=m₂

Therefore, the slope of the line in question, m₂ = 3/4

To get the equation of the line;

We take a point (x, y) and the point (8, -16) together with the slope;

That is;

\frac{(y--16}{x-8}=\frac{3}{4}

x−8

(y−−16

=

4

3

\begin{gathered}4(y+16)=3(x-8)\\4y + 64 = 3x - 24\\4y=3x-88\\ y=\frac{3}{4}x-22\end{gathered}

4(y+16)=3(x−8)

4y+64=3x−24

4y=3x−88

y=

4

3

x−22

Thus, the equation required is y=\frac{3}{4}x-22y=

4

3

x−22

You might be interested in
What is the product in lowest terms?
Alisiya [41]
-5/12 × 8/13

First, we need to start out by applying the multiplication rule towards fractions. If you haven't learned or don't remember the rules, you can always look up fraction rules. The rule is: a/b × c/d = ac/bd. Basically, we are combining the numerators and both of the denominators.
- \frac{5 \times 8}{12 \times 13}

Second, let's now multiply what we have in the fraction. (5 × 8 = 40) and (12 × 13 = 156). Doing so will create a new fraction for us to use.
-\frac{40}{156}

Third, now obviously, we can simplify the fraction we just got into lower terms. To do that, we have to collect the greatest common factor (GCF) of both the numerator and denominator and list their factors to find the common factor that is the greatest.

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Out of the listed factors, which of those are the common ones? 1, 2, and 4 are the common factors. Since we are looking for the greatest common factor, it would be 4 since that is the higher number out of the commons. The GCF is 4.

Fourth, we can now divide our numerator (40) and our denominator (156) by the GCF we just found out, which was 4. 
40 \div 4 = 10  \\ 156 \div 4 = 39

Fifth, our last step is to create our new simplified fraction. All we have to do is take our new numerator and denominator to see the fraction. 

Answer in fraction form: \fbox {-10/39}
Answer in decimal form: \fbox {-0.2564}
4 0
3 years ago
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the mi
EleoNora [17]

Answer:

c) 120 ft

Step-by-step explanation:

Let's consider the rhombus has 4 sides, A, B, C, and D.

To find the length of each side, let's first find the length AE.

From the diagram, AE is half of AC and AC = 30 ft.

Therefore,

AE = ½ * 30

AE = 15 ft

Let's find the length AD, since we are looking for the distance around the perimeter.

AD = \frac{15}{sin30} = \frac{15}{0.5} = 30 ft

We are told the rhombus is formed by four identical triangles.

Therefore the distance around the perimeter would be: AD+AD+AD+AD=

30 ft + 30 ft + 30 ft + 30 ft

= 120 ft

The distance around the perimeter of the garden is 120 ft

8 0
3 years ago
Read 2 more answers
Hey guys, I'm relearning some Algebra and was confused about this problem. In the equation, the problem was divided by 3. This m
spayn [35]

Answer and Step-by-step explanation:

The signs didn't really "swap". Instead, the whole function was divided by -1, or we could say the function was divided by -3. That would turn:

-18x² - 15x + 3 = 0

into

(-18 / -3)x² - (15 / -3)x + (3 / -3) = 0

6x² + 5x - 1 = 0

And that gives the "swapped signs".

4 0
3 years ago
Read 2 more answers
Seven times a number minus the number is -48. Find the number.
charle [14.2K]

Answer:

-8

Step-by-step explanation:

(7)*(-8) = -56

(-56) - (-8) = -48

4 0
3 years ago
Read 2 more answers
Write the following functions with the following characteristics. 5) Given a quadratic function that has shifted 10 to the right
lapo4ka [179]

Answer:

(x-10)^{2} -7

5 0
2 years ago
Other questions:
  • Hat is 965.38 rounded to the nearest tenth? A. 970 B. 965.4 C. 965.3 D. 965
    10·2 answers
  • what property is illustrated by the statement 1×y=y? A. MULTIPLICATIVE IDENTY B. COMMUTATIVE C. ASSOCIATIVE PROPERTY OF MULTIPIL
    11·2 answers
  • What is the square root of 1,331
    12·2 answers
  • How many times is six going to 102
    5·1 answer
  • 12. What is the scale factor of a drawing if<br>the scale is 1 inch = 4 feet?<br>​
    5·1 answer
  • A certain law firm consists of 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in
    14·1 answer
  • Rosa is saving money for a trip. She has already saved $250 and plans to save $40 per week. This situation can be represented by
    8·1 answer
  • Matthew obtained a balloon mortgage but was late on a few payments during
    7·1 answer
  • PLEASE HELP I WILL GUVE BRAINLIEST (PICTURE INCLUDED)
    10·1 answer
  • Find the area of each shaded region in each figure.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!