Find the equation of the line passing through the points (2, -1) and (-6, -5)
y = 1/2x
y = 1/2x - 2
y = -1/2x
y = 2x - 5

Answer:

x = -1

Step-by-step explanation:

3(x + 2) = 2x + 5

Use the distributive property on the left side.

3x + 6 = 2x + 5

Subtract 2x from both sides. Subtraction property of equality.

x + 6 = 5

Subtract 6 from both sides. Subtraction property of equality.

x = -1

Answer: 1

Step-by-step explanation: 3(x+2)=2x+5

                                               3x+6=2x+5

                                                -3x   -3x

                                                    6=1x+5

                                                     -5     -5

                                                       1=1x

Step-by-step explanation:

(4x-6)+(8x+18) = 180°

12x+12 = 180

12x=168

x=14°........ ..(1)

8x+18=y+3.. (putting the value of x from equation1)

72+18-3=y

y= 87°

hope this helps you.

Answer:

31710786

Step-by-step explanation:

IF you meant it to convert into digits.

Answer:

1648

Step-by-step explanation:

Let's use the distributive property:

(16 x 100) + (10 x 3) + (6 x 3) =

1600 + 30 + 18 = 1648

-Chetan K

Answer:

4

Step-by-step explanation:

0.25x + 7 = 4(x-2)

0.25x + 7 = 4x - 8

0.25x - 4x = -7 - 8

-3.75x = -15

3.75x = 15

x = 4

Answer:

Measure 2 is 149

Step-by-step explanation:

Answer:

149°

Step-by-step explanation:

Since this is a supplementary angle to Angle measure 1, it makes the two equal 180. Your angle M2 = 149

Answer:

$4.00

Step-by-step explanation:

75% of 4

75% × 4 =

75/100 × 4 =

(75 ÷ 100) × 4 =

75 × 4 ÷ 100 =

300 ÷ 100 =

= 3

Hope this helps.

Step-by-step explanation:

2y+7-5y+6y-3+y=

(2-5+6+1)y +7-3 =

(4)y + 4 =

4y + 4

the others could be:

9y-5+9-5y

and

4y-1+2y-y-y+1+4

Answer:

Step-by-step explanation:

first you would want to flip the equation then multiply 9 on both sides to get

5(F-32)=9C

Then you would want to divide both sides by 5 which crosses out the 5 from the equation and is moved to the other side which then were you simplify getting

F-32=9C/5

Lastly you want to add 32 to both sides causing - 32 to cross out getting

F=9C/5 +32

making F=9C/5 + 32 our answer

Answer:

A = 1/8 or -1/8

Step-by-step explanation:

Subtract 4 from the y value and add 6 to the x value to get ABC to A'B'C'

Problem 10, Part A

The larger outer square is x cm by x cm, where x is some placeholder for a positive number. For example, if x = 10, then we have a 10 cm by 10 cm square.

Unfortunately, we don't know what number replaces x.

What we can determine is the connection between the larger square and the smaller one. The frame is 3 cm wide in all directions (aka it's a uniform width). What this allows for is that the smaller square is x-6 by x-6. The 6 is from subtracting two copies of 3, so ultimately we're subtracting off 2*3 = 6 to form the smaller dimensions.

You can think of it like x-3-3 = x-6

So we need to expand out (x-6)(x-6) like so

(x-6)(x-6)

y(x-6)

xy - 6y

x(x-6) - 6(x-6)

x^2-6x - 6x+36

x^2-12x+36

In the second step, I replaced one copy of (x-6) with y, after which I used the distributive rule. After distributing, I plugged in y = x-6 and distributed again. The last step is combining like terms. As an alternative, you can use either the box method or the FOIL rule to find the answer.

The expression x^2-12x+36 is the expanded form of the area of the smaller square, which is the picture itself without the frame involved.

===========================================================

Problem 10, Part B

We follow the same idea as the previous part. This time, we have a rectangle that isn't a square.

Along the horizontal, the (x+30) will drop to (x+30)-5-5 = x+20 when we consider just the picture without the frame. In other words, the smaller inner rectangle has a horizontal dimension of (x+20) cm.

The vertical component of this smaller rectangle is x-5-5 = x-10 cm

So,

area = length*width

area = (horizontal dimension)*(vertical dimension)

area = (x+20)(x-10)

area = y(x-10) ..... let y = x+20

area = xy - 10y ...... distribute

area = x(x+20) - 10(x+20) ... plug in y = x+20

area = x^2+20x - 10x - 200 ..... distribute again

area = x^2 + 10x - 200

Side note: the units for this area, and for part A, are in square cm.

Answer:

0.08

Step-by-step explanation:

5 ^-2 * cube root of 8

first of all, let us solve 5^-2

using the law of indices;

a^-2 = 1 / a ^2

following this law, we have;

5^-2 = 1 / 5^2

we know that 5^2 = 25

therefore,

5^-2 = 1 / 25

now, let is continue by solving the cube root of 8

now, there are three ways of solving this;

we could just simply think of any number that when multiplies itself three times times, it gives 8, or we could just simply use a calculator

regardless of what we use, we have to end up with the number 2 as the answer

leading is to our conclusion.

from all our solution, we have reduced our question to;

1 / 25 ( which is 5^-2) * 2 ( which is the cube root of 8 )

= 1 / 25 * 2 / 1

note that 2 is the same as 2 / 1. We put it like this when we want to carry out an operation on an integer ( e.g. 2) and and a fraction ( e.g. 1 / 25 )

so,

1 / 25 * 2 / 1 =

2 / 25 ( the two multiplies the 1 in 1 / 25 and the 25 multiplies the 1 in 2 / 1)

leaving our answer in decimal, we have;

0.08

hope this helps,

thanks!!!

Answer:

1/2

Step-by-step explanation:

Evaluating the expression, [tex]-5(-10-2(-3))2[/tex] is equal to 40.

Given the following expression:

To evaluate the given expression, we would apply BODMAS:

In this exercise, you're required to evaluate the given expression by simplifying it to its simplest form. Thus, we would have to apply BODMAS in order to achieve this.

In Mathematics, BODMAS is an abbreviation for the following:

Dealing with the brackets, we have:

[tex]-5(-10+6)2\\\\-5(-4)2\\\\20 \times 2 = 40[/tex]

Therefore, we have:

[tex]-5(-10-2(-3))2=40[/tex]

Read more on BODMAS here: https://brainly.com/question/24383445

Answer:

48

Step-by-step explanation:

25x4.8=120

10×4.8=48

I got 4.8 by doing this:

I already knew that 25×5 would equal 125.

but since they wanted 120, I instead multiplied 25 by 4 with decimals from 1-10 until I got 120, then I multiplied that with the 10 pages to get my answer.

Answer:

Step-by-step explanation:

Marca un punto en el 2 positivo de la línea y. La pendiente es 3/1. Comenzando en el punto que marcastes en la línea vertical “y”, tres subiendo y uno a la derecha, tres subiendo y uno a la derecha. Solamente hacen falta dos puntos para trazar una recta.

Answer:

281052

Step-by-step explanation:

To solve for the second year we add 135,649 and 9754, because there is an additional amount of flowers. Then we add the flowers from the first year to get the total amount of 281052.

Answer:

-6.5

Step-by-step explanation:

2n+3×6=5

2n+18=5

2n=5-18

2n= -13

n=-6.5

i hope it helps

Answer:

domain 0 ≤ y ≤ 72 and the range is 0 ≤ y ≤ 6

Step-by-step explanation:

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

(2x+6)-4x=4x-3-4x

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6

Answer:

One way you can name it is ∠PQN. Another way is ∠NQP.

Step-by-step explanation:

Hope this helps!

Answer:

B. y – 270 = 45(x – 2) ; $450

Step-by-step explanation:

In February, you have a balance of $270 in your bank account.

In January, you have a balance of $270 - $45 = $225 in your bank account.

In December, you have a balance of $225 - $45 = $180 in your bank account.

y = $180 + $45x, where x = 1, 2, 3, 4...

Balance in June: x = 6

y = $180 + $45x = $180 + $45×6 = $180 + $270 = $450

The complete question is:

In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

Answer:

$450 in June

Step-by-step explanation:

$X = 270 + 45 × ( number of month)  

In this problem, February, the month you start with, would be month 0.

June would be 4.

$X = 270 + 45 × 4

= 270 + 180

= $450 in June

$450 in June.

Answer:

Todd I think if I'm wrong sorry

The 3rd option where it's at (-2,0) and going down.

Answer:

third one(from left) in first row

Step-by-step explanation:

-|x| is same as ^ and f(0)=-2

Answer:

27777/100000

Step-by-step explanation:

i hope its right

Answer:

corollary,postulate,theorem,definition