1) Write an equation that is parallel to the line 3x – 2y = 5 and passes through the point (1,2).
es

Answers

Answer 1

The easiest way to find the line parallel to 3x -2y =5 through (1,2), we must set 3x - 2y = 5 into slope-intercept form

   [tex]3x-2y =5\\-2y = -3x+5\\y = \frac{3}{2}x-\frac{5}{2}[/tex]

In slope-intercept form, y = mx + b, m is the slope. For two lines to be parallel, their slopes must be equal.

Thus the new line that is parallel to 3x - 2y = 5 must also have a slope of (3/2)x

    [tex]y= \frac{3}{2} x+b[/tex]

To find b, we must plug in (1,2)

   [tex]2 = \frac{3}{2}*1 + b\\b = \frac{1}{2}[/tex]

Thus the equation that is parallel to 3x-2y = 5 and passes through (1,2) is [tex]y = \frac{3}{2}x+\frac{1}{2}[/tex]

Hope that helps!

Answer 2

Answer:

3/2x+1/2

Step-by-step explanation:

just took on progress learning and was correct:)


Related Questions

John is trying to graph the inequality x < or = to 10. Should John draw an open or closed circle when graphing this inequality? Explain your reasoning.

Answers

John should use the closed circle when representing the inequality x ≤ 10.

What is an inequality?

An inequality is an expression that shows the relationship between two or more numbers and variables.

Given the inequality x ≤ 10. To graph this inequality, we need to represent it on a number line.

When representing on a number line, closed circle is used to represent ≤ or ≥ while open circle represents < or >.

John should use the closed circle when representing the inequality x ≤ 10.

Find out more on inequality at: https://brainly.com/question/24372553

Which of the following statements describes the process for solving 4x > -24

Answers

Step-by step Solution:

1. Divide 4 both sides

4x/4 > -24/4=> x > -6

2. Graph the inequality

Graph attached~

solve for x and y using elimination method:-
7x -2y = 3, 1/2 - 3y = 8

Answers

Answer:

take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?

Step-by-step explanation:

take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?

4. If you average $5.99 for breakfast, $13.95 for lunch, and $20.56 for dinner, how much should you
budget for food costs per day?

Answers

Answer: Your average would be about 41 dollars

Step-by-step explanation:

Why because if you add up all of the costs and round it, the answer is 41

32 A rectangle, a triangle, and two congruent semicircles were used to form the figure shown.
8 cm
4 cm
6 cm
-3 cm
Which measurement is closest to the area of the figure in square centimeters?
F 67 cm2
G 74 cm?
H 79 cm
J 88 cm2

Answers

Answer:

67

Step-by-step explanation

I did this in my math class yesterday

find the value of x. ​

Answers

Answer: 10.5

Step-by-step explanation:

For what value of p are 2p + 1, 13, 5p – 3, three consecutive terms of AP?​

Answers

Answer:

4

Step-by-step explanation:

The arithmetic progression terms, are

(2p+1), 13, (5p-3).

First find the distance between 2p+1 and 13.

[tex]13 -( 2p + 1 )= - 2p + 12[/tex]

Then find distance between 13, and 5p-3

[tex]5p - 3 - ( 13) = 5p - 16[/tex]

Terms in a AP progression should have same distances as each other.

[tex]5p - 16 = - 2p + 12[/tex]

[tex]7p = 28[/tex]

[tex]p = 4[/tex]

Answer:

Given 2p+1, 13 , 5p-3 are in AP. P is 4.

PLEASEHELP!!!!!!
Two runners start the race at the same time. The first runner's speed is 4/5 of the speed of the second runner. After 30 minutes, the runners are 2 miles apart. What is the speed of each runner?​
*not 1.78 & 2.22 :(*

Answers

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

What is a proportion?

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

[tex]v_2 = v_1 + 4[/tex].

The first runner's speed is 4/5 of the speed of the second runner, hence:

[tex]v_1 = \frac{4}{5}v_2[/tex]

[tex]v_1 = \frac{4}{5}(v_1 + 4)[/tex]

[tex]\frac{1}{5}v_1 = \frac{16}{5}[/tex]

[tex]v_1 = 16[/tex]

[tex]v_2 = 16 + 4 = 20[/tex]

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at https://brainly.com/question/24863377

Answer:

Using proportions, it is found that the speed of the runners are of 16 mphand of 20 mph.What is a proportion?A proportion is a fraction of a total amount.After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:.The first runner's speed is 4/5 of the speed of the second runner, hence:Hence, the speed of the runners are of 16 mph and of 20 mph.

Step-by-step explanation:

Anyone know? Someone said 120 but that’s obviously not an option!

Answers

believe the answer is 11

The number of cars sold at a dealership over several weeks is given below. 14, 23, 31, 29, 33 what is the standard deviation for this set of population data? standard deviation: sigma = startroot startfraction (x 1 minus mu) squared (x 2 minus mu) squared ellipsis (x n minus mu) squared over n endfraction endroot 6.9 12.4 15.4 47.2

Answers

The standard deviation for this set of population data is 6.9. Then the correct option is A.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The number of cars sold at a dealership over several weeks is given below.

14, 23, 31, 29, 33.

Then the mean will be

[tex]\mu = \dfrac{14+23+31+29+33}{5}\\\\\\\mu = \dfrac{130}{5}\\\\\\\mu = 26[/tex]

Then the standard deviation is given as

[tex]\sigma = \sqrt {\dfrac{\Sigma _{i=1}^n(x_i - \mu)^2}{n}}\\\\\\\sigma = \sqrt{\dfrac{(14-26)^2+ (23-26)^2+ (31-26)^2+ (29-26)^2+ (33-26)^2}{5}}\\\\\\\sigma = \sqrt{\dfrac{236}{5}}\\\\\\\sigma = \sqrt{47.2}\\\\\\\sigma = 6.87 \approx 6.9[/tex]

The standard deviation for this set of population data is 6.9. Then the correct option is A.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

Answer:

6.9

Step-by-step explanation:

please help it’s due tmw and i really need help

5.
The height of a trapezoid (h) measures 4 cm. Its shorter
base (b) measures 3 cm. A similar trapezoid has a
shorter base measuring 15 cm. Use proportional
reasoning to find the height of that similar trapezoid.

Answers

Answer:

20

Step-by-step explanation:

if two trapezoids are the same proportions, and one is 3cm, and the other is 15, the makes that second 5 times larger than the first. therefore, the height is also 5 times larger

4 x 5=20

An engineer was supposed to draw a line exactly 7/10 centimeters long. An error was made, and he drew the line 9/10 centimeters long. How much longer than needed was the line the engineer drew?

Answers

Answer:

2/10 or 1/5 if you want it simplified

Step-by-step explanation:

9/10 is basically 9 and 7/10 is 7 so 9 - 7 is 2 and we need to add the /10 back so it's 2/10 or 1/5

Step-by-step explanation:

want to draw=7/10

mistakely draw=9/10

here,

9/10

- 7/10

2/0

therefore, the engineer draw the line 2/0 longer than he need

Identify the solution to the following inequality: -1/2 (x+3) > x - 3
A. X < 1
B. X > 3
C. X > 1
D. X< 3

Answers

Answer:

A

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )

- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1

- x - 3 > 2x - 6 ( subtract 2x from both sides )

- 3x - 3 > - 6 ( add 3 to both sides )

- 3x > - 3

divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity

x < 1

Answer:

A. x<1

Step-by-step explanation:

-1/2 (x+3) > x - 3

(-1/2)x-3/2>x-3

Multiply both sides by 2:

-x-3>2x-6

add both sides by 3:

-x-3+3>2x-6+3

-x>2x-3

minus both sides by 2x

-x-2x>2x-2x-3

-3x>-3

x<1

One angle of an isosceles triangle measures 124 degrees. What measures are possible for the other
two angles? Choose all that apply.
44
81°
11°
28°

Answers

Answer:

28°

Step-by-step explanation:

In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:

124+2x=180

2x=56x=28°

Please brainlest!

QUICK whoever gives correct answer will get brainliest thank you.​

Answers

Answer: B

Step-by-step explanation:

For a relation to be a function, each input value can only have one corresponding output.

What is the ph of a koh solution that has [h ] = 1.87 × 10–13 m? round to the nearest tenth. what is the poh of a koh solution that has [oh–] = 5.81 ×10–3m? round to the nearest hundredth. what is the ph of a solution of nacl that has [h ] = 1.00 × 10–7 m? round to the nearest hundredth.

Answers

The ph and poh values were calculated using the formula.

It is given that

[H⁺] of KOH solution = [tex]1.87*10^{-13}[/tex]

What is the ph and poh formula?

[tex]ph = -log[H^{+} ][/tex]

[tex]poh = -log[OH^{-} ][/tex]

So, ph of KOH solution = [tex]-log[1.87*10^{-13} ][/tex]

The ph of KOH solution = 12.72

Similarly, poh of a KOH solution that has [OH⁻] = 5.81 ×10–3m is 2.24.

The ph of NaCl solution that has [H⁺] = 1.00 × 10–7m is 7.

Thus, the ph and poh values were calculated using the formula.

To get more about ph and poh visit:

https://brainly.com/question/13557815

Answer:

What is the pH of a KOH solution that has [H+] = 1.87 × 10–13 M? Round to the nearest tenth.

12.7

What is the pOH  of  a KOH  solution that has [OH–]  = 5.81 ×10–3M?  Round  to the nearest hundredth.

2.24

What is the pH of a solution of NaCl that has [H+] = 1.00 × 10–7 M? Round to the nearest hundredth.

7.00

Step-by-step explanation:

Find the area of the parallelogram:

Answers

Answer:

40cm²

Step-by-step explanation:

[tex]Solution,\\Here,\\\\Height(h)=5cm\\\\Base(b)=8cm\\\\Now,\\\\Area=base*height\\\\Area=8cm*5cm\\\\Area=40cm^{2}[/tex]

Question :-

Find the Area of Parallelogram whose Height is 5 cm and the Base is 8 cm .

Answer :-

Area of Parallelogram is 40 cm² .

Explanation :-

As per the provided information in the given question, we have been given that the Height of the Parallelogram is 5 cm . Its Base is given as 8 cm . And, we have been asked to calculate the Area of Parallelogram .

For calculating the Area , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf {Area \: _{Parallelogram} \: = \: Base \: \times \: Height} [/tex]

[tex] \longmapsto \: \: \sf {Area \: _{Parallelogram} \: = \: 8 \: \times \: 5} [/tex]

[tex] \longmapsto \: \: \bf {Area \: _{Parallelogram} \: = \: 40} [/tex]

Hence :-

Area of Parallelogram = 40 cm² .

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Find the base of a triangle if the height is 15m and the area is 30m^2. Please and thank you so much!

Answers

Answer:

The answer is 4m. I used my graphing calculator and this is how I got it step by step. Look at the pic.

Step-by-step explanation:

4
b x h / 2 = area
b x 15m / 2 = 30m^2
x2 both sides
b x 15 = 60
/15 both sides
b = 4

Hi there can anyone help
-42/x = 14/-2
what is x
thanks

Answers

Answer:

x=6

Step-by-step explanation:

14÷(-2)=-7

-42÷(-7)=6

Select the correct answer. What is the decimal form of 17%?A. 17B. 1. 7C. 0. 17D. 0. 17

Answers

Answer:

A

Step-by-step explanation:

You would move the decimal back only 2 places.

Answer:

0.17

Step-by-step explanation:

All you do is divide by 100.

If the sum of three consecutive number is 36,find the numbers?

Answers

x+x+x= 36 what about 3x you divide by the co_efficient of 3 which you will get 12.....(so 12-1 on your left and +1 on your right hand side....so the numbers are ( 11+12+13=36)

hey pretty simple
can someone fill out the rest of this second (right side) graph for me
Thankss

Answers

Answer:

43 ,32 ,21 ,12, 5

Step-by-step explanation:

(x-3)(x-7)

(-2-3)(-2-7)  =45

(-1-3)(-1-7)    =32

(0-3)(0-7)    =21

(1-3)(1-7)      =12

(2-3)(2-7)    = 5

can anything be simplified 7x - 11x

Answers

yes 7 - 11 = -4

so 7x - 11x = -4x

I do not know this answer

Answers

Answer:

-2,-2 i think

Step-by-step explanation:

A) The initial value
B) The decay factor
C) The amount lost
D) The number of weeks

Answers

Answer:

A) The initial value

Consider all six-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digit can repeat. What is the probability of choosing a random number that starts with 9 from this group? Enter a fraction or round your answer to 4 decimal places, if necessary

Answers

Using the Fundamental Counting Theorem, it is found that there is a 0.2 = 20% probability of choosing a random number that starts with 9 from this group.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, we have that:

The first and last digit have to be odd, hence [tex]n_1 = 5, n_6 = 4[/tex].The others cannot repeat, hence: [tex]n_2 = 8, n_3 = 7, n_4 = 6, n_5 = 5[/tex].

Then, the total number is:

N = 5 x 4 x 8 x 7 x 6 x 5 = 33600.

Starting with 9, we have that:

The first digit is 9, the last digit has to be an odd which is not 9, hence [tex]n_1 = 1, n_6 = 4[/tex].The others cannot repeat, hence: [tex]n_2 = 8, n_3 = 7, n_4 = 6, n_5 = 5[/tex].

Then:

N9 = 1 x 4 x 8 x 7 x 6 x 5 = 6720.

A probability is given by the number of desired outcomes divided by the number of total outcomes, hence:

p = N9/N = 6720/33600 = 0.2.

0.2 = 20% probability of choosing a random number that starts with 9 from this group.

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

Which transformation is a translation?
A.
B.
田田田
由田中
c.
D.

Answers

Answer:

A, B, and C are rotations so it must be D

Step-by-step explanation:

Michelle Can swim 4 laps in 6 minutes and 12 seconds.If michelle Swims at The same pace,how long would it take her to swim 10 laps

Answers

20.5 im pretty sure i may be wrong

find jh in triangle HIJ

Answers

Answer:

2

[tex]2 \times area \div height \:[/tex]

Step-by-step explanation:

the answer is 5

Answer:

JH=16

Step-by-step explanation:

Hi there!

We are given ΔHIJ, where HI is parallel to KL, and that JK=10, JI=40, and JL=25

We want to find JH

We can use something called the Triangle Proportionality Theorem to help us find JH

The Triangle Proportionality Theorem essentially states that if there is a line parallel to one of the sides of a triangle that intersects the other 2 sides of that triangle, then that segment divides those sides proportionally

In other words, KL is parallel to HI and intersects both HJ and JI, and JK, JH, JL, and JI create a proportion, which is [tex]\frac{JK}{JH} =\frac{JL}{JI}[/tex]

We can substitute the values that we know into that equation

[tex]\frac{10}{JH} =\frac{25}{40}[/tex]

We can simplify 25/40 to 5/8.

[tex]\frac{10}{JH} =\frac{5}{8}[/tex]

Now we can cross multiply (use the means-extreme theorem)

Multiply 10 and 8 together, and set that equal to 5 times JH

80 = 5JH
Divide both sides by 5

16=JH
Hope this helps!
See more on the Triangle Proportionally Theorem here: https://brainly.com/question/20064024

simplify (6 - sqrt25)/4

Answers

Answer:

(6-5)/4= 1÷4=0.25

Step-by-step explanation:

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