10. The distance of the point (a, b) from the origin is twice its
distance from the point (-1, -2). Find the relation between a
and b.

Answer:

x = -4    y = -1

Step-by-step explanation:

x + 4y = -8

4y = -x - 8

y = -1/4x - 2

6x - 2(-1/4x - 2) = -22

6x + 1/2x + 4 = -22

13/2x + 4 = -22

13/2x = -26

x = -4

(-4) + 4y = -8

-4 + 4y = -8

4y = -4

y = -1

Answer:

x = -4 y = -1

Step-by-step explanation:

Solve for each variable by creating an equation and plugging it in to the other given equation.

- Equation to solve for x: x = -4y - 8

- Plug this equation into the other, solving for y so you have:

6(-4y-8)- 2y = -22 => -24y - 48 - 2y = -22 => -26y = 26 =>  y = -1

- Take this value and plug into the equation we created for x:

x = -4(-1) - 8 => x = 4 -8 => x = -4

- Check your work with given equation 6x -2y = 22:

6(-4) - 2(-1) = -22 => -24 +2 = -22 => -22 = -22

Answer:

[tex]\frac{1}{3(x-2)}[/tex]

Step-by-step explanation:

Hi there!

We need to multiply the fractions:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{x^{2}+x-6}[/tex]

Before we multiply, we can cancel out and factor the polynomials to make multiplying easier

First, we can factor x²+x-6

1 (in front of +x) is the sum of two numbers and -6 is the product of those numbers

Those numbers are -2 and 3

so when we factor, we get:

(x-2)(x+3)

here are the fractions so far:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{(x+3)(x-2)}[/tex]

we can cancel out x+3 on both fractions

[tex]\frac{1}{12x}[/tex]×[tex]\frac{4x}{x-2}[/tex]

we can also cancel out 4x from both fractions

[tex]\frac{1}{3}[/tex]×[tex]\frac{1}{x-2}[/tex]

now multiply the fractions together

[tex]\frac{1}{3(x-2)}[/tex]

So the first option is your answer

Hope this helps! :)

Answer:

The answer issssssssss A

Answer: i believe the answer is 29

Step-by-step explanation:

9514 1404 393

Answer:

  No

Step-by-step explanation:

The ratios of triangle side lengths are ...

  4 : 6 : 8 = 2 : 3 : 4

This is an arithmetic progression.

The only arithmetic progression of side lengths that makes a right triangle is ...

  3 : 4 : 5

The triangle is not a right triangle, so AB is not a tangent.

Multiply both sides by 6 and you'll end up with x ≤ -108

The graph will involve a closed circle at -108 and shading to the left

See below.

We use a closed circle to include the endpoint -108 itself. If we didn't have the "or equal to" part, then we'd be using an open hole at the endpoint instead.

The shading to the left is to describe values smaller than -108. Overall, the entire thing consists of stuff smaller than -108 or -108 itself.

Answer:ak

Step-by-step explanation:

Answer:

9800 Fish

Step-by-step explanation:

According to The question,

The number of fish ten years before is [tex]10094 * \frac{100}{103}[/tex] ⇔ 9800 fish

Answer:

9800 Fish

Step-by-step explanation:

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

Answer:

Radius

Step-by-step explanation:

Any segment with one endpoint at the center of the circle and the other endpoint on the circle is the radius. This information is very important, because when you want to find the area of a circle you multiply the radius by itself twice then multiply that by pi. The diameter (second option) is a segment where one endpoint is on the circle and the other endpoint is on the other side of the circle. The diameter is twice the radius. Good luck!

Step-by-step explanation:

Y=kx+b

If m=1/k

Y=-5/3x+b

I don't know what your m means

So I can only write like this.

Answer:

The first chocie  (0,3), (1,6), (2,9)

Step-by-step explanation:

Just plug each point into the equation and see if it is correct.

y-3 = 3x

for (0,3) -->   3-3=3(0) -->0 = 0   true

for (1,6) -->  6-3 = 3(1) -->   3=3   true

fpr (2,9) -->9-3 = 3(2) -->  6=6   true

Answer:

There is a 15% chance a student chosen at random would have brown sandals.

Step-by-step explanation:

The required probability will be 0.15 that a student chosen at random would have brown sandals.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

the probability = number of favorable outcomes /  total number of outcomes.

We have been given that out of 200 students in a school, 30 have brown sandals.

To determine the probability that a student chosen at random would have brown sandals.

The probability = number of favorable outcomes /  total number of outcomes.

The probability = 30 / 200

The probability = 0.15

Thus, the required probability will be 0.15 that a student chosen at random would have brown sandals.

Learn more about the probability here:

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Answer:

3260 is the ratio of two similar trapizoids

Answer:

7:3

Step-by-step explanation:

(Ratio of perimeter)^2 = ratio of area.

Therefore

ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3

Answer:

0

Step-by-step explanation:

A= (4-1)^3

simplify A to be 3^3

Which gives us 27

B=(2*3)^2-9

simplify B

first multiply the 2 numbers in paranthesis which gives us 6. raise it to the power of 2 which is 39 and then subtract 9. Gives us 27.

C=15^3*4-12

Simplify the exponent first. 3*4 gives us 12 and 12-12 equals 0. Anything raised to the power of 0=1

If A-B^C is the equation we can write 27-27 raised to the power of 1 which is 0

Answer:

An algebraic expression is a type of expression that contains a variable or variables.

Answer:

Translation of 4 units to the right and 2 units down

Hope this helps!

the translation is 4 units to the right and 2 down

Answer:

271 prints.

Step-by-step explanation:

So to answer the question, we need to first write a formula to find the answer.

We know that the starting price per month is 6.95 dollars.

The full price is 17.79 dollars.

So we can start this off by writing:

17.79=6.95

Now, every time Jim prints, he charges 0.04 dollars. This will add to the orginal cost, which is 6.95. And remember this isnt a single payment, but a payment that varies depending on the amount of paper, p. So we can write this as:

17.79=6.95+0.04p

6.95 wont ever change, hense why it doesnt have a variable. 0.04 however, varies depending on the amount of paper, and thats why we included the variable p.

These two values combined make 17.79, hense why it is on the opposite side of the equals sign.

So, now we need to find how many papers, p, were printed.

To find this, lets just take our equation, and solve for P like an ordinary problem:

17.79=6.95+0.04p

So first off, lets subtract the 6.95 from both sides, because that iscolates the 0.04p, which contains the variable.

Now we have:

10.84=0.04p

Now, we could divide both sides by 0.04.

But remember, the whole point of doing this is to make 0.04p into 1p.

So another way of doing this is multiplying the 0.04 by 25, since 0.04*25=1.

So lets multiply both sides by 25:

10.84*25 is 271.

Since 10*25 is 250

And

.84*25 is 21.

So now we know:

271=1p

So 271 is your answer!

Hope this helps!

The equation that can be used to find the number of prints, p, is $17.79 = $6.95 + $0.04p and Jim ordered 271 prints last month.

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

We can write an equation to represent the total cost that Jim was charged by the website for last month's prints, p to represent the number of prints he ordered:

Total cost = Monthly fee + Cost per print x Number of prints

Using the values given in the problem:

$17.79 = $6.95 + $0.04p

To solve for p, one side of the equation. First, we can subtract $6.95 from both sides:

$10.84 = $0.04p

Then, we can divide both sides by $0.04:

p = 271

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Answer:

x=9

Angles = 50

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

4x+14 = 6x-4

Subtract 4x from each side

4x+14-4x = 6x-4-4x

14 = 2x-4

Add 4 to each side

14+4 = 2x-4+4

18 =2x

Divide by 2

18/2 =2x/2

9 =x

The angles are equal

4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50

Answhver:khglujlihluf

Step-by-step explanation:

Answer:

The inverse is 5/(2-x)

Step-by-step explanation:

Firstly, let us represent the inverse as y

thus;

y = (2x+ 1)/x-4

y(x-4) = 2x + 1

xy - 4 = 2x + 1

2x - xy = -4-1

2x-xy = -5

x(2-y) = 5

x = 5/2-y

Now, switch the alphabets again

y = 5/(2-x)

Answer:

a

Step-by-step explanation:

1. 1 1/99 miles per hour

Answer:

7 inches

Step-by-step explanation:

6x7=

42

Answer:

Purchase rate = 553.18 U.S dollar

Selling rate = 547.90 U.S dollars

Step-by-step explanation:

Purchase rate

1 U.S. dollar = NRs.103.72

Selling rate

1 U.S. dollar = NRs.104.32

How many American dollar can be exchanged withNRs.57, 376

Purchase rate

1 U.S. dollar = NRs.103.72

Amount of U.S. dollar = NRs.57, 376 / NRs.103.72

= 553.18164288468

Approximately

553.18 U.S dollar

Purchase rate = 553.18 U.S dollar

Selling rate

1 U.S. dollar = NRs.104.32

Amount of U.S. dollar = NRs.57, 376 / NRs. 104.32

= 547.89915966386

Approximately,

547.90 U.S dollars

Selling rate = 547.90 U.S dollars

Answer:

x = 104

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

24+x = 128

Subtract 24 from each side

24+x-24 =128 -24

x =104

Answer:

d

Step-by-step explanation:

if I divide the units of the scaled rectangle by the original you will get

[tex]18 \div 9 = 2 \\ 6 \div 3 = 2[/tex]

Answer:

C

Step-by-step explanation:

Area of the original one = 9 * 3 = 27 cm^2

Area of the scaled one = 18 * 6 = 108 cm^2

108 / 27 = 4

Answer:

y=-7x-3

Step-by-step explanation:

y=-7x+b

32=-7(-5)+b

32=35+b

-3=b

y=-7x-3