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
erastovalidia [21]
3 years ago
15

| 10. Write an equation of a line that is parallel to

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

see explanation

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 )

Rearrange - 3x + 4y = 5 into this form

Add 3x to both sides

4y = 3x + 5 ( divide all terms by 4 )

y = \frac{3}{4} x + \frac{5}{4} ← in slope- intercept form

with slope m = \frac{3}{4}

• Parallel lines have equal slopes, thus

y = \frac{3}{4} x + c ← is the partial equation of the parallel line

To find c substitute (2. 1) into the partial equation

1 = \frac{3}{2} + c ⇒ c = - \frac{1}{2}

y = \frac{3}{4} x - \frac{1}{2} ← equation of parallel line

You might be interested in
When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba
Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25

And

z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

3 0
3 years ago
PLEASE ANSWER QUICKLY!!The diameter, D, of a sphere is 10.4 mm. Calculate the sphere's volume, V.
Svetlanka [38]

Answer:

About 588.7 mm^3

Step-by-step explanation:

The formula for the volume of a sphere is (4/3)*pi (or in this case 3.14)*r^3, where r is the radius.

We need the radius. We are given the diameter, 10.4.

The radius is half the diameter, so 10.4/2=5.2.

Use r=5.2 and put it into the formula:

(4/3)*3.14*5.2^3≈588.7

5 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
pogonyaev
Answer is A: when you add all the percents it’s 50 the rest is 50%
3 0
3 years ago
Read 2 more answers
8
blagie [28]

Answer:

The new function is g(x) = x² +1

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the function f(x) = x²

From graph ,

The parabola  y = x² is shifting to up with '1' units

                    y = x² +1

The new function is g(x) = x² +1

<u><em>Verification:-</em></u>

    y = x²+1

Put x=0 ⇒ y =1

The point (0,1) lies on the parabola y = x²+1

similarly put x =1 and y = 2

The Point (1,2) lies on the Parabola y = x²+1

∴ The new graph  y = x²+1

3 0
3 years ago
A truck has a total of b pounds of fruit in n identical boxes. How many
inysia [295]
The answer would be about
4 0
3 years ago
Other questions:
  • Complete the passage to describe velocity vs time graphs.A velocity vs time graph is a graph that shows the relationship between
    5·1 answer
  • Easy math problem help me.I will give brainliest
    6·1 answer
  • Given that 3(x - 1) - 2(x - 1) = 7, the value of x is
    6·2 answers
  • Ok guys ik that this isn't a part of academic but i wanna say a story ... since i had 15 subs ive always wanted 100 .. like so b
    10·1 answer
  • What are the volume of a rectangular pyramid with a length of 39 m, a width of 15 m, and a height of 16 m?
    15·1 answer
  • Solve.<br> {y= 2x – 6<br> {4x – 2y = 14<br> Use the substitution method
    6·1 answer
  • Porque el factor común está relacionado con la propiedad distributiva​
    15·1 answer
  • Some one plz help!!! due in 10 min
    11·1 answer
  • If R(x) and S(x) are inverse functions, which statement must be true?
    15·1 answer
  • Which property of real numbers IS shown below?<br> 3 + ((-5) + 6) = (3 + (-5)) + 6
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!