How do I solve this equation and find the solutions?

Answer:

9.385 km

Step-by-step explanation:

Given the points :

home (1 -3) school (-1, 2) library (3, 2)

Distance between Home and school :

Distance = √(x2 - x1)² + (y2 - y1)²

Home = (1, - 3) ; School = (-1, 2)

x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2

Distance = √(-1 - 1)² + (2 - (-3))²

Distance = √-2² + 5²

Distance = √4 + 25

= 5.385 km

From school to library :

School = (-1, 2) ; library (3, 2)

x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(3 - (-1))² + (2 - 2)²

Distance = √4² + 0²

Distance = √16 + 0

Distance = √16

Distance = 4 km

Total distance in kilometers from home to library :

(5.385 + 4) km = 9.385km

Answer:

If they all get an equal slice, 1/4.

Step-by-step explanation:

Answer:

common ratio(r)= 8÷(-16/5)= -20/8= -2.5 or -5/2

Gn=G1r^(n-1)

the next term will be the 4th term, means n=4

G4= (-16/5)((-5/2)^(4-1)

=(-16/5)(-125/8)

=50

Therefore the next term will be 4th term(G4)=50.

The next term of Sequence is 50.

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio, or r.

An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.

Given:

-16/5 ,8, -20,

First, common ratio(r) = 8÷ (-16/5)

                                    = -20/8

                                    = -2.5 or -5/2

Now,[tex]G_n=G_1r^{(n-1)[/tex] and for n=4

[tex]G_4[/tex] = (-16/5) [tex](-5/2)^{(4-1)[/tex]

=(-16/5)(-125/8)

=50

Hence, the next term is 50.

Learn more about Geometric Sequence here:

https://brainly.com/question/11266123

#SPJ2

Answer: The answer would be 7.03

Step-by-step explanation: cause you gotta get the 28 in there i hope im right

Answer:

15 quarters

Step-by-step explanation:

Assuming q = quarters and d = dimes...

First, set up the equations. q + d = 28 since we have 28 coins, and the latter is because a quarter is worth $0.25 and a dime is worth $0.1 - totaling $5.05.

q + d = 28

.25q + .10d = 5.05

Try to get one of the variables equal to the equation above. In this case, I tried to get the "q" variables equal to each other.

q + d = 28

4(.25q + .10d) = 4(5.05)

After this, you "subtract" the two equations from each other. Remember that d = 1d, and 1 - .4 = .6

q + d = 28

q + .4d = 20.20

Divide both sides by .6 to get d by itself.

.6d = 7.8

There are 13 dimes.

d = 13

Subtract 13 from the total coins (28) to get the amount of quarters.

28 - 13 = 15

13 dimes, 15 quarters. Hope this helped!

Answer:

Part 1) [tex]16[/tex] inches of rain

Part 2) [tex]4^{\circ}[/tex] per hour

Step-by-step explanation:

Rainy day scenario:

From the information given, the rain in the rain gauge increases by 2 inches per day (24 hours = 1 day). The increase of rain over an 8 day period will be [tex]2\times8=16[/tex] inches of rain.  

Temperature scenario:

From the information given, the temperature drops [tex]48^{\circ} /12hours[/tex]. To find how many degrees the temperature dropped per hour:

[tex]48^{\circ}\div12/12hours\div12 = 4^{\circ}/1hour[/tex]

∴ The temperature drops [tex]4^{\circ}[/tex] per hour.

Hope this helps :)

Answer:

33 questions.

Step-by-step explanation:

Let x = 4 points questions.

Let y = 8 points questions.

Translating the word problem into an algebraic equation;

For the total number of questions;

[tex] x + y = 65[/tex] .........equation 1

For the total number of points;

[tex] 4x + 8y = 388[/tex] ..........equation 2

Given the following data;

Total number of questions = 65

Total number of points = 333

Solving the linear equation by using the substitution method;

Making x the subject in equation 1:

[tex] x = 65 - y[/tex] .......equation 3

Substituting "x" into equation 2;

[tex] 4(65 - y) + 8y = 388[/tex]

Simplifying the equation, we have;

[tex] 260 - 4y + 8y = 388[/tex]

[tex] 260 + 4y = 388[/tex]

Rearranging the equation, we have;

[tex] 4y = 388 - 260[/tex]

[tex] 4y = 128[/tex]

[tex] y = \frac {128}{4} [/tex]

y = 32 (For the 8 points question).

Substituting "y" into equation 3;

[tex] x = 65 - 32[/tex]

x = 33 (For the 4 points question).

Therefore, the number of 4 point questions on the test are 33 questions.

Answer:

Sorry I can’t read it wish I could help man have a good day and be safe, wear a mask in public, sanit- jk! Just be kind to others and be safe love ya!

Step-by-step explanation:

Answer: 742.5

Step-by-step explanation: 45% off of 1350= 742.5

Answer:

$607.50

Step-by-step explanation:

if you take 1350.00and multiply by 45% you will get $607.50

Answer:

Light + carbon dioxide → glucose + oxygen.

Step-by-step explanation:

A is the right one.

...

.

Answer: 30 degrees

Step-by-step explanation: A triangle has 180 degrees.

70 plus 80 equals 150 degrees.

180 minus 150 equals 30.

Answer:

x = 6 , 50°

Step-by-step explanation:

(8x + 2)° + 70° + 60° = 180°

8x + 2 + 130 = 180

8x = 180 - 132

8x = 48

x = 6

Measure of missing angle 8(6) + 2 = 50°

Answer:

$63

Step-by-step explanation:

70 x 10% = 7

70 - 7 = 63

Answer:

63

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

You want to subtract the 2x from both sides, leaving you with x+5= -1 and then you want to subtract the 5 from both sides which gets you to your final answer of x= -6

Answer:

x = -6

General Formulas and Concepts:

Pre-Alg

Algebra I

Step-by-step explanation:

Step 1: Define equation

3x + 5 = 2x - 1

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer: 0.3 cm per hour

Step-by-step explanation:

got it off of quizizzes

Answer:

the answer is B

Step-by-step explanation:

pay attention to the word NOT

Answer:

Please use LaTeX I Assure you it is great

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

[tex]\frac{log 2^{2} }{log 2^{4} } =\frac{2 log ~2}{4 log~2} =\frac{2}{4} =\frac{1}{2}[/tex]

Answer:

1.2

Step-by-step explanation:

apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this‍

Answer:

8/125

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If you  find the difference between 45 and 31, you find the increase. Take that and make it a percentage of 68. I hope this helped! Have a great day.

Answer:

x = 7

Step-by-step explanation:

Given the equations

2x + 3y = 17 → (1)

2y + z = 1 → (2)

5x + 10z = 25 → (3)

Rearrange (2) expressing z in terms of y

z = 1 - 2y

Substitute z = 1 - 2y into (3)

5x + 10(1 - 2y) = 25

5x + 10 - 20y = 25 ( subtract 10 from both sides )

5x - 20y = 15 → (4)

Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term

40x + 60y = 340 → (5)

15x - 60y = 45 → (6)

Add (5) and (6) term by term to eliminate y, that is

55x = 385 ( divide both sides by 55 )

x = 7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].

The equation [tex]5x+10z = 25[/tex] can then be turned into:

[tex]5x+10(1-2y) = 25[/tex]

[tex]5x+10-20y = 25[/tex]

[tex]5x -20y = 15[/tex]

[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)

We can now use elimination to solve for one of the variable:

[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)

[tex]2x-8y=6[/tex]

[tex]2x+3y-(2x-8y) = 17-6[/tex]

[tex]11y = 11[/tex]

[tex]y = 1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]2x+3y = 17[/tex]

[tex]2x+3 = 17[/tex]

[tex]x = 7[/tex]

Hope this helps :)

Answer:

y - 13 = 3(x - 5)

Step-by-step explanation:

x represents week and y represents inches. Week 2 and week 5 = 2 to 5 = three number difference. The inches which is 4 and 13 have a 9 inched difference. So like I said week represents x and y represent inches so now u have to find the slope, which would be y/x so replace it with the numbers we got so it would now be 9/3. The simplified version would be 3. So the slope is 3.

Point-slope equation: y-y^1=m(x-x^1), y^1 and x^1 are just some random points on the graph, but since we don't have a graph we can use either week 2 and 4 inches or week 5 and 13 inches because if this were a graph, those would be existing points on the graph. And m is the slope so just replace m with 3. We'll use 5 and 13 so: y - 13 = 3(x - 5)

side note: kinda took a long time sorry haha, I had to refresh my knowledge on point-slope equations since it's been a long time since i learned it.

Answer:

Step-by-step explanation:

y + 4 = 14(x - 12)

y + 4 = 14x - 168

y = 14x - 168 - 4

y = 14x - 172

Answer:

x = 5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 16²

x² + 81 = 256 ( subtract 81 from both sides )

x² = 175 ( take the square root of both sides )

x = [tex]\sqrt{175}[/tex] = 5[tex]\sqrt{7}[/tex] ≈ 13.23 units ( to 2 dec. places )

Answer:

x = 5√7

Step-by-step explanation:

By pythagoras theorem,

(hypotenuse)² = (altitude)² + (base)²

(hyp)² - (base)² = (alt)²

(16)² - (9)² = x²

256 - 81 = x²

x² = 175

x = √175

x = 5√7

hope this helps you!

Answer:

Im pretty sure the first two are no..that's it

Answer:

A: No

B: Yes

C: Yes

D: No

Step-by-step explanation:

Answer:

x= -2, y = 5

Step-by-step explanation:

y = -4x-3

y = -2x+1

Set the two equations equal to each other

-4x-3 = -2x+1

Add 4x to each side

-4x-3 +4x = -2x+1+4x

-3 = 2x+1

Subtract 1 from each side

-3-1 = 2x+1-1

-4 =2x

Divide by 2

-4/2 = 2x/2

-2 =x

Now find y

y = -4x-3

y = -4(-2) -3

y = 8 -3

y =5

Answer:

250n + 1,000 ≥ 6,000

Step-by-step explanation:

You know that he makes 250 dollars per car her sells and he automatically makes 1000 per month. n is representing the number of cars he sold and that is multiplied by the worth of each car. If he needs a MINIMUM of 6000 dollars. he must make 6000 dollars or more which can also be shown as ≥. Hope this helped!

Answer:

I'm not sure....

10-8 = 2

lowest point

10+8 = 18

highest point

so the possible values of the third side are:-

3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17

I'm not sure this is what you are looking for but this is my answer....

i hope this helps...

have a great day ahead :)