Find the equation of the line through the points (-2,-9) and (5,12)
y =

9514 1404 393

Answer:

  C

Step-by-step explanation:

You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.

__

Algebraic solution

Algebraically, you can set y = -x +3, and solve for x. That gives you ...

  x = 3 -y

Using the relation given at the start:

  0 < x < 1

  0 < 3 -y < 1 . . . . . substitute for x

Adding y gives ...

  y < 3 < y+1

We can separate this into two inequalities:

  y < 3, and

  3 < y+1

  2 < y . . . subtract 1

Now, we have ...

  2 < y < 3 . . . . . the location of point C

As you can see, it is much easier to use the number line directly to find the desired point.

Answer:

m=3 is the slope of this equation y=3x-4

Answer:

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6} = \frac{x - 6}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Dividing Fractions - KCF (Keep Change Flip)

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6}[/tex]

Step 2: Simplify

Extra:

If we were to graph this, we would need to watch out for domain restrictions or changes because we are combining 2 domains together when 1 of them has a restriction.

Answer:

(x-6)/2

Step-by-step explanation:

Turn the second fraction upside down and multiply two fractions

Answer:

an equation of the line L will be: y = 1/2x - 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the points

Determining the slope between (0, -2) and (6, 1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]

[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]

[tex]m=\frac{1}{2}[/tex]

The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the point (0, -2), we can determine that at x = 0, the value of y = -2.

Thus,

The y-intercept b = -2

now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation

y = mx+b

y = 1/2x + -2

y = 1/2x - 2

Therefore, an equation of the line L will be: y = 1/2x - 2

Answer:

Its B :)

Step-by-step explanation:

Look at the graph points and match them with the choices

Answer:

V2 has more room than the Aquarium.

Step-by-step explanation:

Ralph has 25% left of his Gatorade.

3 ÷ 12 = 0.25 -->  25%

Answer:

If I did my math right it should be 10.20

Step-by-step explanation:

-78.55 + 128.75 = 50.2

50.2 - 40 = 10.2

And then obviously just add the zero at the end bc its money

Answer:

3. See explanation

2. [tex]\displaystyle Yes[/tex]

1. [tex]\displaystyle [2, 1][/tex]

Step-by-step explanation:

3. Substitution, Elimination, and Graphing are ALL three methods to solve a system of equations, whether they are in three variables or two. The only differense is that with graphing, you will easily spot when a system is dependent [Infinitive Solutions], inconsistent [no solution], and\or consistent [one solution]. With elimination, you want to eliminate one set of variables [set to zero] so that it will be alot simpler solving the system, then latre on, substitute whatever value solved for the remaining set of variables back into the system to solve for the eliminated variable. Finally, with substitution, all you have to do is choose which variable you want to solve for in all three equations, or two. It really does not matter which one, as long as you follow the proper universal concept in using the Order of Operations.

2. This is self-explanatory really. The only time you cannot use any method is when the linear equations form parallel lines. Otherwise, you will always have one or infinite solutions.

1. See above imagery

I am joyous to assist you at any time.

Answer:

4

Step-by-step explanation:

Answer:

1/4 is the answer

Step-by-step explanation:

just look at it show you that it is 1/4

Answer:

dfadfadsadas

Step-by-step explanation:

2y = 7x + 6 or the simplified version would be y = 7/2x + 3

Step-by-step explanation:

u just gotta know that slope intercept form is the equation y=mx+b

Answer:

x = (-4 - z)/y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-4 = xy + z

Step 2: Solve for x

Answer:

B) 110.92 u²

Step-by-step explanation:

to find the surface area, find the area of each side and add them together.

here are all 6 sides:

4.5 * 6.8

4.5 * 6.8

4.5 * 2.2

4.5 * 2.2

2.2 * 6.8

2.2 * 6.8

4.5 * 6.8 = 30.6

4.5 * 6.8 = 30.6

4.5 * 2.2 = 9.9

4.5 * 2.2 = 9.9

2.2 * 6.8 = 14.96

2.2 * 6.8 = 14.96

30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96

110.92

Step-by-step explanation:

(3x+24)°=(8x-11)°

24+11=8x-3x

35=5x

x=7

Answer:

The answer is 22

Step-by-step explanation:

Answer:

3/10 ÷ 3 = 3/30 as simplified as 1/10 in fraction form. 3/10 ÷ 3 = 0.1 in decimal form.

Answer:

Choice C

Step-by-step explanation:

A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.

Choice A:

[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]

Nope that's not what we're looking for.

Choice B:

[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]

This would be a perfect arithmetic sequence but not the type of sequence we are looking for.

Choice C:

[tex]6^{*3},18^{*3},54^{*3},162[/tex]

Yes! See how this one is multiplying by 3 and not adding or subtracting.

Choice D:

[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]

Nope this is not it either.

Answer:

C) $6.46

Step-by-step explanation:

Equations

The price per gallon of milk (m) and the price per gallon of orange juice (j) are given below:

m = 5.71 + 0.25n

j = 4.66 + 0.60n

Where n is the number of months after December 31, 2018.

It's required to find the value of n when both prices are equal:

4.66 + 0.60n = 5.71 + 0.25n

Subtracting 0.25n:

4.66 + 0.60n - 0.25n = 5.71

Subtracting 4.66:

0.60n - 0.25n = 5.71 - 4.66

Operating:

0.35n = 1.05

n = 1.05/0.35

n = 3

The price per gallon of milk for n=3:

m = 5.71 + 0.25*3

m = 5.71 + 0.75

m = $6.46

Answer:

emily 37.44$ Andy 22.15$

Step-by-step explanation:

Andy needs 23 feet multiply 23 feet by 12 you get the amount of inches so 276 inches if the cost for 130 inches is 10.40 we need to increase this number proportionally to 276 So 130+113%=276.9 so 276. Now 10.40x113%=22.15.

Emily needs 13 yards, 13 yards is 39 feet, 39 feet is 468 inches, Now do same thing we did for Andy. 130+360%=468 exactly 10.40+360%=37.44

Answer:

The multiple choice question is A

one of the zeros is x=2

Answer:

4z -6< - 10= Z= < -1

5z - 3 >7= Z=< 2

Step-by-step explanation:

Answer:

p=500

Step-by-step explanation:

The value of p is 500 in the equation  100+0.05p=0.25p.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

The equation,

100+0.05p=0.25p

To solve the equation:

Simplify the equation,

100 = 0.25p - 0.05p

0.20p = 100

p = 100/0.20

p = 500

Therefore, 500 is the value of p.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ6

For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F

Given:

Temperature at the bottom of the mountain is 74°F

The top of the mountain is 5500 feet above you

Change (reduction) in temperature is 3.3 X 5500 / 1000

= 18.15°F

Temperature at the top of the mountain is 74°F – 18.15°F

= 55.85°F

Answer:

y=7x-8

Step-by-step explanation:

y=mx+b........slope-intercept form

where m=slope,b=y-intercept

y=7x-8

Answer: 34ft

Step-by-step explanation: