11. Write an equation for a line that is parallel to the line 6x - 3y = 15 and goes through the point
(-2,4).

Answers

Answer 1

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

Answer 2

The required equation of the parallel line is,

[tex]6x-3y+24=0[/tex]

Equation of parallel lines:

Parallel lines are lines that never intersect. Because of this, a pair of parallel lines have to have the same slope, but different intercepts (if they had the same intercepts, they would be identical lines).

Given, the equation of the line is [tex]6x-3y=15[/tex]

Let the equation of the parallel line be,

[tex]6x+3y+k=0[/tex]...(1)

Since, the equation (1) passes through the point (-2,4) then,

[tex]6(-2)-3(4)+k=0\\-12-12+k=0\\k=24[/tex]

Now, substituting [tex]k=24[/tex]  in equation (1) we get,

[tex]6x-3y+24=0[/tex]

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Related Questions

Solve for X. picture above

Answers

Answer:

x equals 17

Step-by-step explanation:

Find the total volume of the figure.

Answers

Answer:

The Volume is 2,200

Step-by-step explanation:

10+8.8= 18.8

13.7+25= 38.7

18.8+38.7= 57.5

This is the incorrect way

__________________________________________________

Correct way:

Volume= L×H×W

25 × 8.8 × 10 =  2,200

The total volume of the figure is 693 m³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given a composite figure consisting of a triangular pyramid and a triangular prism.

Total volume of the figure = Volume of pyramid + volume of prism

Volume of the pyramid = 1/3 × base area × height

Base area = 1/2 × √(13.7² - 8.8²) × 8.8

                 = 1/2 × 10.5 × 8.8

                 = 46.2 m²

Volume of the pyramid = 1/3 × 46.2 × (25 - 10)

                                       = 231 m³

Volume of the prism = base area × height

                                  = 46.2 × 10

                                  = 462 m³

Total volume = 231 m³ + 462 m³ = 693 m³

Hence the total volume is 693 m³.

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Find the distance between point F and point M.
A)7
B)9
C)10
D)11​

Answers

Answer:

c. 10

Step-by-step explanation:

its 10 spaces away

Please answer this ASAP need it fast.

Answers

Answer:

Step-by-step explanation:

[tex]-\frac{2}{3}a+\frac{5}{6}a-\frac{1}{6}[/tex]

Like term are       [tex]-\frac{2}{3}a+\frac{5}{6}a[/tex], LCD of 3 ,6 = 6

[tex]\frac{-2*2}{3*2}a+\frac{5}{6}a-\frac{1}{6}=\frac{-4}{6}a+\frac{5}{6}a-\frac{1}{6}\\\\=\frac{(-4+5)}{6}a-\frac{1}{6}\\\\=\frac{1}{6}a-\frac{1}{6}\\[/tex]

50 points!!! CPHJ ~ VBMW. Complete the statement below.

Answers

Answer:

M

Step-by-step explanation:

Similar angles would be the same location.

H is the 3rd letter in the first set, so it would be similar to the 3rd letter in the second set.

H is similar to M

Solve 8 = 2x + 4.
X = -4
X=-1
x = 0
X=7

Answers

Answer:

x = -1

Step-by-step explanation:

Write it in exponential form, 2^3 = 2^x+4

Since base is the same, Set the exponents equal, 3 = x + 4

Move the terms, variable goes to the left side and change the sign -x + 3 = 4

Subtract and calculate, -x = 1

Change the signs on both sides, x = -1

Answer:

x=-1

Step-by-step explanation:

i took the test

plz help asap ill give u 5 stars and mark u brainliest

Answers

Answer:

262.5

Step-by-step explanation:

1. do cross multiplication

2nd ans is 360 20x18 or just add 20 18 times

Answer:

262.5

Step-by-step explanation:

A segment is m units long. Find the distance between the midpoints of the first and the last parts in each case. a The segment is divided into three equal parts

Answers

Answer:

(2/3)m units

Step-by-step explanation:

The segment is m units long. After dividing it into 3 three equal parts, each part is m/3 units long. The midpoint of the first part is located at (m/3)/2 = m/6 units from the beginning of the segment. The midpoint of the last part is located at (2/3)m + m/6 = (5/6)m units from the beginning of the segment. Then, the distance between the midpoints of the first and the last parts is (5/6)m - m/6 = (2/3)m units

Line can be divided into segments.

The distance between the two midpoints is 2m/3

The length of the segment is given as:

[tex]\mathbf{Length = m}[/tex]

The length of each segment, after dividing them into 3 segments is:

[tex]\mathbf{Segment = \frac m3}[/tex]

The midpoint of the first segment is:

[tex]\mathbf{First= \frac m6}[/tex]

The midpoint of the third segment is the sum of the first two segments, and the half a segment

So, we have:

[tex]\mathbf{Third = \frac m3 + \frac m3 + \frac m6}[/tex]

[tex]\mathbf{Third = \frac{5m}{6}}[/tex]

So, the distance between the two midpoints is:

[tex]\mathbf{Distance = \frac{5m}{6} - \frac{m}{6}}[/tex]

[tex]\mathbf{Distance = \frac{5m - m}{6}}[/tex]

[tex]\mathbf{Distance = \frac{4 m}{6}}[/tex]

[tex]\mathbf{Distance = \frac{2m}{3}}[/tex]

Hence, the distance between the two midpoints is 2m/3

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A group of 140 high school students were asked, "Do you play a musical instrument?" The results are shown in the table below. If a musician is selected at random, what is the probability that the individual is a female student?



Males - only 24 play instruments and 41 don't
Females - only 43 play instruments and 32 don't


A. 43/140

B. 43/67

C. 43/75

D. 15/28

Answers

ANSWER:

A

Step -by -step verification:

Total number of female students that play instruments

Total number of students =43/140

If a musician is selected at random, the probability that the individual is a female student is; 15/28

How to Find the Probability?

We are given;

Total Number of High school students surveyed = 140

Number of males that play instruments = 24

Number of males that don't play instruments = 41

Number of females that play instruments = 43

Number of females that don't play instruments = 32

Thus, If a musician is selected at random, the probability that the individual is a female student is;

P(Female Student) = (43 + 32)/140 = 75/140 = 15/28

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9. Fill in the table below with the correct slopes:
If a line has a slope of
What is the parallel line slope? What is the perpendicular line
slope?
6
3
2

Answers

Answer:

-1/6 for the number 6 and 2/3 for -3/2

Step-by-step explanation:

You have to do the reciprocal, or just swap the numerator and denominator. but if the parallel is positive the reciprocal becomes a negative. If the parallel is negative, then the reciprocal is positive.

Glad I could help!

Factor completely. 81x4 - 1

Answers

Answer:

323

Step-by-step explanation:

Answer: 3x - 6^4

Step-by-step explanation:

I got the answer right

Sammy sold his sofa for $160 and made a loss of 20%. Find the amount he
bought it.
Person who solves this first gets brainliesr

Answers

Answer:

$200

Step-by-step explanation:

200/0.8

0.8 is the same as a loss of 20% or the same as 80%

Mr. Schrock is flying an airplane 300 feet above the ground. You were laying on the ground 400 feet from where he dropped a senior survivor T-shirt. What is the angle of the elevation as you look at the plane?

Answers

Answer:hi

Step-by-step explanation:hi

Please help meeeeeeeeeeeeeeee!!!!!!!!!!!!!!

Answers

Since the model is 1/13 the size of the tent, you multiply 6” by 13 to get 78”. Since you want feet, you divide 78” by 12” because there are 12 inches in a foot and you want to convert the unit to feet. The answer is 6.5 feet or 6.5’

f(x) = x2 + 4
What is f(-3)?

Answers

Answer:

f(-3) = 13

Step-by-step explanation:

f(x) = x² + 4        Substitute -3 for x

f(-3) = (-3)² + 4   Simplify the exponent

f(-3) = 9 + 4        Add

f(-3) = 13

If this answer is correct, please make me Brainliest!

Answer:

It’s 13

Step-by-step explanation:

Rhoda completed the right column of the table to help her find the sum of One-half and One-third.In which step did her first error occur? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

her error was in the second step

Step-by-step explanation:

her fraction was 1/2 but the way the bar was split is wrong it was supposed to have only two sides with 1 shaded in but has 6 with 3 shaded in

If two sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?

Answers

Answer:

10 < x <22

Step-by-step explanation:

The smallest side must be larger than the difference of the two sides

16-6 = 10

x>10

The largest side must be smaller then the sum of the two sides

6+16 =22

x< 22

Put this together

10 < x <22

Answer:

10 < c < 22

Step-by-step explanation:

Remember the Triangle Inequality Theorem.

For a triangle with sides a, b, and c:

- a + b > c

- a + c > b

- b + c > a

Let's arbitrarily say a = 6 and b = 16. Then:

a + b > c

6 + 16 > c

c < 22

a + c > b

6 + c > 16

c > 10

b + c > a

16 + c > 6

c > -10

Thus, the range of possible lengths of the third side, c, is 10 < c < 22.

Someone please answer this

Answers

Answer:

30.35

Step-by-step explanation:

Please mark me as brainliest it would mean a lot

Nina skated for 2 hour 14 mins she stopped at 8:24 what time did she start skating

Answers

Answer:

6:10

Step-by-step explanation:

To solve this problem, find the time 2 hours and 14 minutes before 8:24.

2 hours before 8:24 is 6:24.

14 minutes before 6:24 is 6:10.

Therefore, Nina started skating at 6:10.

Answer:

6:10

Step-by-step explanation:

Cuz if you do 8:24 - 2:24 you get 6:10

Are the data shown in this line plot skewed left, skewed right, or not skewed? skewed right skewed left not skewed

Answers

Answer:

where is the picture

Step-by-step explanation:

9. Musa's age is two thirds of Abu's age.
If the sum of their ages is thirty years, how old is Abu?​

Answers

Answer:

17

Step-by-step explanation:

Answer:

Abu is 18 years old

Step-by-step explanation: This is because 18x2/3 is 12, Musa's age, and 18+12=30.

I need help again (shock)

Answers

Answer:

Interior alternate

Step-by-step explanation:

They’re on the inside but opposite form each other

Answer:

Interior alternate

Step-by-step explanation:

If a circle has a diameter of 26 units, what is its area? (Use pie for

Answers

Answer:

[tex]530.93unit^2[/tex]

Step-by-step explanation:

[tex]A=\pi r^2\\=\pi *13^2\\=530.93unit^2[/tex]

Answer:

A = π169units^2  = 590.93units^2

Step-by-step explanation:

A = π r ^2

π 13^2 = π169

π169 = 590.93

A = π169units^2

Ch.3 Test Savings Accounts
1. Mike deposits $5,000 in a three-year CD account that yields 3.5% annual interest,
compounded weekly. What is his ending balance at the end of three years?

Answers

Step-by-step explanation:

5000 x 3 + 3.5% of 5000 x 3 = the answer

The 6sqrt(50) + 6 expression 1sqrt(2) written in the simplest radical form is:

Answers

Answer:

4. [tex] 36 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] 6\sqrt{50} + 6 \sqrt{2} [/tex]

= [tex] 6 \sqrt{25 \times 2} + 6 \sqrt{2} [/tex]

= [tex] 6 \times 5\sqrt{2} + 6 \sqrt{2} [/tex]

= [tex] 30 \sqrt{2} + 6 \sqrt{2} [/tex]

= [tex] \bold{36 \sqrt{2}} [/tex]

#CMIIW ^^

the first term of a geometric sequence is 3 and the comaon ratio is 5 find the 8th term.

Answers

Answer:

5

Step-by-step explanation:

Answer:

234375

Step-by-step explanation:

3, 15, 75, 375, 1875, 9375, 46875, 234375

The price of a cup of coffee was $2.85 yesterday. Today, the price fell to $2.50. Find the percentage decrease, Round your answer to the nearest tenth of a
percent

Answers

5.9%


Let's see what percentage of 2.55 is 2.40
or $2.40 = x% of $2.55

2.40 = (x/100)(2.55)
x = 2.40(100)/2.55
x = 240/2.55
x = 94.1%

$2.40 is 94.1% of $2.55

The decrease is from 100% to 94.1%

100-94.1 = 5.9% decrease in price

A set of symbols that expresses a mathematical rule is called a
-base?

-square unit?

-formula?

-area?

-perimeter?

Answers

Formula because that is the answer
Hi there !

The answer would be C. formula

Hope this helps !

Can someone help me with these

Answers

Answer:

1) b=2 [tex]\sqrt{2}[/tex]  a= 8  2) x=y=  2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

1) since the triangle is isosceles, b=2[tex]\sqrt{2}[/tex] and a= 2[tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex] which is 8

2) x and y equal eachother and is 4/[tex]\sqrt{2}[/tex] which is 2[tex]\sqrt{2}[/tex]

Using the data set provided below, order the values from greatest to least.


41, 45, 45, 47, 50, 53, 54, 55
Select one:
A. Mean > Median > Mode
B. Median > Mode > Mean
C. Mode > Mean > Median
D. Mean > Mode > Median
E. Median > Mean > Mode

Answers

The answer will be E
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