4.(06.02 MC)
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB In slope-Intercept form that contains point (3,-2). (4 points)
O y = 2x + 4
O y = 2x - 8

4.(06.02 MC)The Equation Of Line AB Is Y = 2x + 4. Write An Equation Of A Line Parallel To Line AB In

Answers

Answer 1

Answer:

The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

y = 2x- 8

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the equation of a line

y = 2x + 4

comparing with the slope-intercept form of the line equation

The slope of the line AB is m = 2

We know that the parallel lines have the same slope.

Thus, the slope of the new line is also 2.

now we have,

The slope of new line m = 2The point = (3, -2)

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (x₁, y₁) =  (3, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y - (-2) = 2(x - 3)

y + 2 = 2x - 6

subtracting 2 from both sides

y + 2 - 2 = 2x - 6 - 2

y = 2x- 8

Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

y = 2x- 8

Related Questions

4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer

Answers

Step-by-step explanation:

let the angles be ' 7x, 8x and 5x'

as we know, the sum of all the angles of a triangle is 180 degree, so,

7x + 8x + 5x = 180

20 = 180

x = 180/2

x = 90 degrees

7x = 7 × 90 = 630 degree

8x = 8 × 90 = 720 degrees

5x = 5 × 90 = 540 degrees

therefore, 5x is the smallest degrees

Natalie bought a 3 - pack of erasers for $1.47. How much did each eraser cost?

Answers

Answer:

Each eraser costs $0.49

Step-by-step explanation:

If three erasers cost $1.47, and you have to find the value of one eraser, all you have to do is divide $1.47 by three.

1.47 ÷ 3 = 0.49

To prove this, you can multiple 0.49 by three.

0.49 × 3 = 1.47

Therefore, your answer will be $0.49 per eraser.

(Remember to add the money symbol because some hardcore teachers won't accept the answer without it, or will deduct points. The symbol looks like this: $)

Answer:

$0.49

Explanation:

1.47 divided by 3 is 0.49.      

°ω°  

:⊃

°∨°

what is x=9 z=2 times?​

Answers

Answer:

x=9

z=2

Step-by-step explanation:

helppppppppppppppppppppppppppp

Answers

Area of cylinder = 2 pi r h + 2 pi r^2
= 2 * 3.14 * 4 * 12 + 2 * 3.14 * 4^2
= 301.44 + 100.48
Area of cylinder = 401.92 cm^2

One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.

Answers

Answer:

Step-by-step explanation:

20 + g = 25

-20        -20

        g = 5

The bars in this graph represent the favorite sport listed
by teenagers in a random sample.
Is this graph misleading?
Favorite Sports
O Yes, because the scale does not start at 0
Yes, because the bars are not the same height
O No, because the bars are all the same width
O No, because the scale starts at 0
20
18
16
Frequency
14
12
10
Basketball Football Lacrosse Soccer Volleyball
Favorite Sport

Answers

Answer:

A.) yes because the scale does not start at 0

Step-by-step explanation:

edge

Answer:

A

Step-by-step explanation:

3xy - 4y when y = 2 and x = 5​

Answers

Answer:

22

Step-by-step explanation:

the answer is 22!! :) mark me as brainliest please so I can help more people ?!

What language your figure the thunder rose

Answers

Answer: ok buddy

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Select all the correct answers.

Janine needs to calculate the value of log , 81

Which expressions could she input into her calculator to find this value?

In 81

12



in 81

In 12

log 81

log 12

log 81

In 12

log 12

log 81

Answers

Answer:

In 81 / In 12 ;

log 81 / log 12

Step-by-step explanation:

Log 12 81

Log 81 base 12

According to rule of logarithm :

Log 81 base 12 = (log 81 base 10) / log 12 base 10)

Obtaining the value :

(log 81 base 10) / log 12 base 10) = 1.7684564

Using trial and error method :

log 81 / In 12 = 0.7680308

In 81 / In 12 = 1.7684564

In 81 / 12 = 0.3662040

Hence, the correct answers are :

In 81 / In 12

log 81 / log 12

plsss help me solve question 2

Answers

I think it’s 305 ft if I did it right but I could be wrong

Jack was 14 years older than Priscilla. Together their ages totaled 158 years. What were their ages?

Answers

Answer:

Jack's age: 86, Priscilla's age: 72

Step-by-step explanation:

Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.

Answer:

Jack is 86 years old,

and Priscilla is 72 years old

Step-by-step explanation:

j = Jack

p = Priscilla

j - 14 = p $\Rightarrow$ j = p+14

j+p = 158

By subsituting the value of j ( first equation) into the second equation, we get:

p+14+p = 158

2p+14 = 158

2p = 144

p = 72.

So, j = 86

solve for e

3 + 8e + 5 = -3e +13 + 10e

Answers

3+8e+5=-3e+13+10e

combine like terms

9+8e=7e+13

subtract 9 from both sides

8e=7e+4

subtract 7e from both sides

e=4

13/x = 6/20 solve for x

Answers

The correct answer is

[tex] = \frac{130}{3} [/tex]

liters = 5,000 milliliters

Answers

Answer:

5 liters

Step-by-step explanation:

1,000 milliliters= 1 liter.

5,000/1,000 is 5 liters

Answer:

5 liters

Step-by-step explanation:

but not sure about answer

I need help plss dont lieplss and thank you

Answers

Answer:

B or C

hope this helps :)

Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X

Answers

Step-by-step explanation:

a^2 + b^2 = c^2

a = 6

b = x

c = 11

6^2 + b^2 = 11^2

36 + b^2 = 121

b^2 = 121 - 36

b^2 = 85

Find the square root of both sides.

b = 9.22

Can anyone help me pls

Answers

Answer: likely

Step-by-step explanation:

Likely because dog is 50% of the circle

Find the area of the following shape:

Answers

Answer:

63 in^2

Step-by-step explanation:

Area = base x height

Base: 7

Height: 9

9 x 7 = 63

Answer:

63 inches squared or [tex]63in^{2}[/tex]

Step-by-step explanation:

The answer is 63 inches squared.

The area of a parallelogram is always base times height.

In this case, the base is seven and the height is nine.

To find the area, we must multiply nine by seven

We get 63

But, we are multiplying inches and inches together

When we multiply something by itself, it becomes squared

Since we are multiplying inches by inches, it becomes inches squared

Therefore, the area of the shape is 63 inches squared, or

[tex]63in^2[/tex]

Which graph represents y = Two-thirdsx + 3?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (4, 0).
On a coordinate plane, a line goes through points (negative 3, 1) and (0, 3).
On a coordinate plane, a line goes through points (0, 3) and (3, 1).

Answers

Answer:

c edge 2021;)

Step-by-step explanation:

⅛ ÷ 2




Please help! I need to remember this!

Answers

Answer:

1/16

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

For this type of problem, I do KCF (Keep, Change Flip)

⅛ ÷ 2

Keep the fraction (⅛)

Change the sign to a multiplication (×)

Flip the "2" to its reciprocal ([tex]\frac{1}{2}[/tex])

Now we have a new expression

[tex]\frac{1}{8}[/tex] × [tex]\frac{1}{2}[/tex]

Now we multiply from across

The numerator × Numerator

The denominator × denominator

1 × 1 = 1

8 × 2 = 16

Our answer will be....

[tex]\frac{1}{16}[/tex]

Hope this helped!

Have a supercalifragilisticexpialidocious day!

The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.

Answers

Answer:

49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49

9. If the area of a square is given by the polynomial 4x2 – 36x + 81, then which of the following expressions represents the length of one side of the square?
A 2x - 9
B 2x + 9
C 4x - 18
D 4x + 18

Answers

Answer:

it is b

Step-by-step explanation:

Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes,and a watermelon that weighed 6.78 pounds.

What is the total weight, in pounds, of the fruit that Shawn bought last week?

Answers

Answer:

not sure but i think it should be 10.54

Help someone please

Answers

Answer:

a) 2/3

b) 1/9

c) 52/99

d) 2/11

e) 743/999

f) 29/111

Step-by-step explanation:

Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.

Then simplify (if possible).

a) 6/9 = 2/3

b) 1/9

c) 52/99

d) 18/99=2/11

e) 743/999

f) 261/999=29/111

Find the solution of the system of equations.
6x – 3y = -30
3x – 6y = 12

Answers

Answer:

Step-by-step explanation:

6x – 3y = -30

3x – 6y = 12

Multiply the top equation by 2 and write the bottom equation under it.

12x - 6y = - 60

3x - 6y =   12        Subtract

9x = - 72                 Divide by 9

x = - 72/9

x = - 8

6x - 3y = - 30

6*-8 - 3y = -30

-48 - 3y = - 30         Add 48 to both sides.

-3y = - 30 + 48

-3y = 18                   Divide by -3

y = -18/-3

y = -6

A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.

Answers

Answer:

29.92 miles per hour

87,089.76 metric tonnes

Step-by-step explanation:

Given that the top speed is 26 knots, recall that

1 knot = 1.15078 miles per hour

Hence,

26 knots = 26 * 1.15078

= 29.92028 miles per hour

To 2 decimal places

=29.92 miles per hour

Given that the boat has a  displacement of approximately 96000 tons, in metric tonnes...

Recall that

1 ton = 0.907185 metric tonnes

As such,

96000 tons = 0.907185 * 96000

= 87,089.76 metric tonnes

You deposited $125 in a savings account that earns a simple interest rate of
1.75% per year. You earned a total of $8.75 in interest. For how long was your
money in the account?​

Answers

9514 1404 393

Answer:

  4 years

Step-by-step explanation:

Each year, the interest earned is ...

  0.0175 · $125 = $2.1875

Then the time it took to earn $8.75 in interest was ...

  $8.75/(2.1875/year) = 4 years

Two Identical Buildings stand parallel on opposite sides of a road. Find the angle of depression from A to B

Answers

Answer:

8.7°

Step-by-step explanation:

The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.

The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:

base² = 43² + 15²

base² = 2074

base = 45.54 m

Using trigonometric function to find angle A:

tan(A) = base / height

tan(A) = 45.54 / 7

tan(A) = 6.506

A = tan⁻¹ (6.506)

A = 81.3°

Angle of depression = 90° - A = 90 - 81.3

Angle of depression = = 8.7°

What lines are perpendicular to 3x+6y=5

Answers

Answer:

u means that to make the equations

Answer:

the line on the point 1.2 and 4.5

Step-by-step explanation:

According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million residents in Britain. Compare the proportion of residents killed annually by guns using the (a) difference of proportions, (b) relative risk. Which measure is more useful for describing the strength of association

Answers

Answer:

[tex]P_D=61.1*10^{-4}[/tex]

[tex]R_r=480[/tex]

Step-by-step explanation:

From the question we are told that

Homicide rate in US [tex]R_U=62.4\ per\ one\ million[/tex]

Homicide rate in Britain [tex]R_B=1.3\ per\ one\ million[/tex]

Generally the equation for probability of homicide is mathematically given as

[tex]P=\frac{R}{10^6}[/tex]

Generally the equation for probability of homicide in US is mathematically given as

[tex]P_U=\frac{62.4}{10^6}[/tex]

[tex]P_U=62.4*10^{-4}[/tex]

Generally the equation for probability of homicide in Britain is mathematically given as

[tex]P_B=\frac{1.3}{10^6}[/tex]

[tex]P_B=1.3*10^{-5}[/tex]

a)Generally the difference b/w the probabilities P_D is mathematically given as

[tex]P_D=P_U-P_B[/tex]

[tex]P_D=62.4*10^{-4}-1.3*10^{-5}[/tex]

[tex]P_D=61.1*10^{-4}[/tex]

Therefore US annual homicide is [tex]P_D=61.1*10^{-4}[/tex] greater than Britain's

b)Generally the Relative risk is R_r is mathematically given as

[tex]R_r=\frac{P_U}{P_B}[/tex]

[tex]R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}[/tex]

[tex]R_r=480[/tex]

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