Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3? ​

Answer:

Step-by-step explanation:

[tex]U=\{1,2,3,4,5,6,7,8,9,10\}\\\\P=\{2,4,6,8,10\}\\\overline{P}=\{1,3,5,7,9\}\\\\Q=\{2,3,5,7\}\\\overline{Q}=\{1,4,6,8,9,10\}\\\\P\ \cap\ Q=\{2\}\\P\ \cup\ Q=\{2,3,4,5,6,7,8,10\}\\\\\overline{P\ \cup\ Q}=\{1,9\}\\\\\overline{P}\ \cap\ \overline{Q}=\{1,3,5,7,9\}\ \cap\ \{1,4,6,8,9,10\}=\{1,9\}[/tex]

1/3(21y+39)=-26 can be simplified into

7y +13 = -26

Next, subtract 13 from both sides

7y= -39

Now divide both sides by 7

Your answer is y=-39/7

Answer:

y = -7

Step-by-step explanation:

1/3 (21y+39) = -36

Distribute

7y +13 = -36

Subtract 13 from each side

7y+13-13 = -36-13

7y = -49

Divide each side by 7

7y/7 = -49/7

y = -7

Step-by-step explanation:

4-2x+8/3 = 6x+15/2

12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)

20-2x/3=6x+15/2

Do cross multiplication

2(20-2x) = 3(6x+15)

40-4x=18x+45

-4x-18x=45+40

-22x= 85

-x= 85/22

x= - 3.86..

hope it helps

Answer:

The property is the neutral element, in this case, it's the 0

The equation is justified using the additive inverse property of real numbers. The equation [tex]\(x + (37 + (-37)) = x + 0\)[/tex] is justified by the additive inverse property of real numbers.

According to the additive inverse property, for any real number a, there exists another real number -a such that their sum is equal to zero:

[tex]\(a + (-a) = 0\)[/tex]

In the given equation, 37 and -37 are additive inverses of each other, meaning [tex]\(37 + (-37) = 0\).[/tex] Therefore, the equation simplifies to:

[tex]\(x + (37 + (-37)) = x + 0\)\(x + 0 = x\)[/tex]

So, the equation is justified using the additive inverse property of real numbers.

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Answer:

EF ≈ 18.68

Step-by-step explanation:

Based on the info I am given I believe they are asking for the distance between E and F (i think you wrote B by mistake). (d = distance)

d =√ (x2 - x1)² + (y2 - y1)²   -->   (this is the distance formula)

d =√ (11 - (-7))² + (3 - (-2))²

d =√ (18)² + (5)²

d =√ 324 + 25

d =√ 349

d ≈ 18.68

Answer:

3/14

Step-by-step explanation:

5/7 = 10/14

1 - 10/14 - 1/14 = 1 - 11/14 = 3/14

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

The standard form of this exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

[tex]y=490(.2)^x[/tex]

Answer:

The Equation of the Line that Passes through the Points (2, −1) and (4, 5) is 3x - y - 7 = 0.

Answer:

y + 7 = 1/3 (x + 5)

Step-by-step explanation:

The format for writing a point-slope equation is:  y - y1 = m(x - x1).

Step-by-step explanation:

[tex]y - y1 = m(x - x1)[/tex]

where, m = 1/3, x1 = -5 and y1 = -7

[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]

[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]

[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]

[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]

[tex]y = \frac{1}{3} (x + 26)[/tex]

Hi :)

-3(3a + 2) + 3

-9a -6 + 3

-9a -3

Answer:

r = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

[tex]\frac{y}{x}[/tex] = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output.  This is direct proportion, and the constant of proportionality is (1/4).

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

Step-by-step explanation:

steps are in the picture.

Answer:

step 1. Subtraction Property Of Equality

step 2.Associative Property Of Equality

step 3.Division Property Of Equality

Answer:

x=25

Step-by-step explanation:

because i divided

Answer:

Answer:

Step-by-step explanation:

1st expression:4a(a-b)

2nd expression:9a(a-b)

So L.C.M=a(a-b)4×9

=36a^2-36ab

Answer:

2a+7b+17

Step-by-step explanation:

MATH

Answer:

17 hours

Step-by-step explanation:

total cost = fee + cost per hour * hours

100 = 15 + 5h

Subtract 15 from each side

100-15 = 5h

85 = 5h

Divide by 5

85/5 = 5h/5

17 =h

Answer:

Kim rent the bike for 17 hours.

Step-by-step explanation:

h=hours

15 + 5h = 100

Subtract 15 on both sides.

5h = 85

Divide 5 on both sides.

h = 17

Welcome to Brainly! I'm happy to help!

We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.

A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.

This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!

1,610×1,000=1,610,000 (one million six hundred and ten thousand!)

Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.

1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)

So, Tobias ran 4,830,000 millimeters!

Have a wonderful day and keep on learning! :D

Answer:

-10 [tex]^\circ C[/tex]

Step-by-step explanation:

Subtract 7 from -3.   -3 - 7 = 0=-10

The temperature that is 7°C below -3°C is equal to -10°C.

To find the temperature that is 7°C below -3°C, we need to subtract 7 from -3. When subtracting a positive number from a negative number, the result becomes more negative.

Starting with -3°C, we subtract 7°C:

-3°C - 7°C = -10°C

A negative temperature indicates a temperature below zero on the Celsius scale. In this case, -10°C means that the temperature is 10 degrees below freezing point.

The Celsius scale is based on the freezing and boiling points of water, with 0°C representing the freezing point and 100°C representing the boiling point at standard atmospheric pressure.

Since we are subtracting 7°C, we are moving further below the freezing point. So, -10°C indicates a colder temperature than -3°C.

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Complete question is:

Write down the temperature that is 7 °C below -3°C?

Answer:

(7/12) + (4q/6)

Step-by-step explanation:

[tex] \frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3} \\ = \frac{11}{12} + \frac{4}{6} q - \frac{1}{3} \\ = \frac{11}{12} - \frac{1}{3} + \frac{4}{6} q \\ = \frac{11}{12} - \frac{4}{12} + \frac{4}{6} q \\ = \frac{7}{12} + \frac{4}{6} q[/tex]

Answer:

Step-by-step explanation:

Like terms have same variable with same power.

(11/12  and 1/3 are like terms)  & (-1q/6 & 5q/6 are like terms}

[tex]\dfrac{11}{12}-\dfrac{1}{6}q+\dfrac{5}{6}q-\dfrac{1}{3}=(\dfrac{11}{12}-\dfrac{1}{3})-\dfrac{1}{6}q+\dfrac{5}{6}q\\\\=(\dfrac{11}{12}-\dfrac{1*4}{3*4})+[\dfrac{-1+5}{6}]q\\\\=(\dfrac{11}{12}-\dfrac{4}{12})+\dfrac{4}{6}q\\\\=\dfrac{(11-4)}{12}q+\dfrac{4}{6}q\\\\=\dfrac{7}{12}+\dfrac{4}{6}q[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{9 + x + 1 + 2x}[/tex]

[tex]\huge\text{= 9 + 1x + 1 + 2x}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (9 + 1) + (1x + 2x)}[/tex]

[tex]\huge\text{= 10 + 3x or 3x + 10}[/tex]

[tex]\huge\text{Answer: \textsf{3x + 10}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

C

Step-by-step explanation:

y=kx or xy=k are true such that k=0.3

in C, 1.2=4*0.3, 2.4=8*0.3, and 3.9=13*0.3, so C follows this rule

Answer:

M= 3.535

Step-by-step explanation:

Look at the line t then divide by 2

Answer:

[tex]\frac{38}{125}[/tex]

Hope this helped! Also, it would really help me out if you gave me a Brainliest. It boosts my confidence and makes my day! Would really appreciate! Thank you! (Also, if the answer is wrong, please tell me and I will check as fast as I can)

Answer:

x  = 4

Step-by-step explanation:

Let the number = x

x^3 = x^2 + 48

x^3 - x^2 - 48 = 0

The answer is 4, but I have no method of doing this rigorously. I can just show that it is true.

x^3 = 4^3 = 64

x^2 = 4^2 = 16

64 - 48 = 16

Answer:

PQ measures 36 units.

Step-by-step explanation:

Line RS bisects segment PQ at R. By the definition of a bisector:

[tex]\displaystyle PR = RQ[/tex]

Hence:

We are given that RQ = x + 9 and RP = 2x, and we want to determine PQ.

Solve for x. Substitute:

[tex]\displaystyle (2x) = (x+9)[/tex]

Hence:

[tex]\displaystyle x = 9[/tex]

PQ is given by:

[tex]\displaystyle PQ = PR + RQ[/tex]

Since PR = RQ:

[tex]\displaystyle PQ =2PR[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} PQ &= 2PR \\ &= 2(2x) \\ &= 4x \\ &= 4(9) \\ &= 36 \end{aligned}[/tex]

Hence, PQ measures 36 units.