A grid shows the positions of a subway stop and your house. The subway stop is located at (0,-1), and your house is located at (-7,-4). What is the distance, to the nearest unit, between your house and the subway stop?

Answer:

Hope it helps ~

Answer:

x=24

Step-by-step explanation:

i cant quite explain how i did it

Answer:

x = 2

Step-by-step explanation:

What is needed to solve this equation is a common denominator. With a common denominator, you can get rid of subtracted fractions.

First, factor the denominator on the left side of the equation:

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

Then, create a common denominator on the right:

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

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

Put everything on one side:

[tex]0 = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)} - \frac{3}{(x + 3)(x - 2)}[/tex]

[tex]0 = \frac{2(x - 2) - 1(x + 3) - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{2x - 4 - x - 3 - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{x - 10}{(x+3)(x-2)}[/tex]

set each term equal to zero:

x - 10 = 0

x = 10

x + 3 = 0

x = -3

x - 2 = 0

x = 2 is the answer, since it is the only answer which is listed in the multiple choice question.

Parallel lines don't have any solutions since they never intersect

Answer:

When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

Given :

To Find :

⠀

Solution :

We know that,

[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]

Let's assume the length of the rectangle as 3x inches. and the width is 2x inches.

⠀

Now, Substituting the given values in the formula :

[tex]\qquad \dashrightarrow{ \sf{2(3x + 2x )= 60}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{2(6x)= 60}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{12x= 60}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{x= \dfrac{60}{12} }}[/tex]

[tex]\qquad \dashrightarrow{ \bf{x= 5}}[/tex]

Therefore,

[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 3x \: = 3(5) = 15 \: inches}}}\:[/tex]

[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 2x = 2(5) = 10 \: inches}}}\:[/tex]

Answer:

3

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

30% = .30

$12/0.30 = 40

[RevyBreeze]

[tex][Hello,BrainlyUser][/tex]

Answer:

$40

Step-by-step explanation:

Original Price = P

30% = .30 or .3

30% of P = 12

.3P = 12

P =12/.3 = $40

~[CloudBreeze]~

Answer:

2

Step-by-step explanation:

$52 7books $6 CB which means she brought 2 which is $12$8 TB and then 7-2 because he already brought 2 CB so that means that he brought 5TB which is 40 Then add 40 +12 = $52 for 7 books 

cookbooks be x

travel books be y

(1)×2

Subtract (3) from (1)

Now

Answer:

Step-by-step explanation:

PS:Can you please mark me brainly? It would mean the world to me.

Answer:Let x = length of the plot (in meters).

Then the two lengths use up 2x meters of the fencing,

. . . leaving 100 - 2x meters for the two widths.

This means each width is (100 - 2x)/2 = 50 - x meters.

The area of a rectangle is: Length x Width

. . . so we have: . A .= .x(50 - x)

We have a <u>parabola</u>: . A .= .- x² + 50x</sup>

We know that this parabola opens down (don't we?)

. . . so its vertex must be the highest point.

We're expected to know that the vertex is at: . x = -b/2a

For this problem, a = -1, b = 50, so we have: . x = -50/(2(-1) = 25

We have maximum A when x = 25.

This leaves 50 - x = 25 for the width.

Therefore, for maximum area, make the plot a 25-by-25 square.

Step-by-step explanation:

Answer:

1250 units squared

Step-by-step explanation:

if you're allowed to use a calculator;

the answers circle with circle with hat with circle

Answer:

A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:
I just took the test

Answer:

...

Step-by-step explanation:

Answer:

There is no model therefore the equation does not represent the model below

Step-by-step explanation:

Hope this helps mark brainliest please ;)

Answer:

1.26 grams

Step-by-step explanation:

18 g * 0.07 = 1.26 g

Answer:

See below

Step-by-step explanation:

(a) 4x - 22 = 74

(b) [tex] \dfrac{74 + 22}{4} [/tex]

(c) 24

Answer:

answer is c

Step-by-step explanation:

178.08 oz = 11.13 lb

11.13-10.91 = 0.22 lb

Mittens is heavier than Tiger by 0.22 pounds.

Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.

Given that;

Rachel weighed her two cats, Tiger and Mittens.

Tiger weighed 10.91 pounds,

And, Mittens weighed 178.08 ounces.

Now, To compare the weights:

First, we convert the weights into ounces.

1 pound = 16 ounces.

Tiger weighed 10.91 pounds.

That means,

= 178.08 / 16

= 11.13 pounds.

And 11.13 > 10.91

Now, Subtracting the weights,

11.13 - 10.91 = 0.22 pounds

Therefore, Mittens is heavier by 0.22 pounds.

Learn more about the subtraction visit;

brainly.com/question/2346316

#SPJ7

Answer:

l

Step-by-step explanation:

l

Answer:

[tex]\sf g = 13.18 \ units[/tex]

explanation:

the "g" refers to the opposite side of angle G

First solve for angle E:

E + 60° + 45° = 180°

E = 180° - 105°

E = 75°

Then using sine rule:

[tex]\sf \dfrac{a}{sin(A)} = \dfrac{b}{sin(B)}[/tex]

[tex]\rightarrow \sf \dfrac{18}{sin(75)} = \dfrac{g}{sin(45)}[/tex]

[tex]\rightarrow \sf \dfrac{18*sin(45)}{sin(75)} = g[/tex]

[tex]\rightarrow \sf g = 13.18 \ units[/tex]

[tex]\tt V=\dfrac{1}{3}\times base~area\times height\\\\V=\dfrac{1}{3}\times 8^2\times 12\\\\V=256~cm^3[/tex]

The mean of the normal distribution, using the formula for the z-score, considering the given data, is of 86.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.6 = \frac{78 - \mu}{5}[/tex]

[tex]78 - \mu = -1.6(5)[/tex]

[tex]\mu = 86[/tex]

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Ratio of $1.50 to $1.20

=[tex]\frac{1.50}{1.20}[/tex]=[tex]\frac{1.5}{1.2}[/tex]=[tex]\frac{15}{12}[/tex]=[tex]\frac{5}{4}[/tex]

Ratio will be [tex]\frac{5}{4}[/tex]

Answer:

The black colour will absorb the light.

By solving a system of equations, we will see that Train X travels 500km in 5 hours.

Remember the relation:

distance = speed*time.

First, if Sx is the speed of the train X and Sp is the speed of the train P, we know that:

Sx - 20 km/hr. = Sp

Then, we know that in the time T in which X travels 50 km, P travels 40km, we can write that as:

50km = Sx*T

40km = (Sx - 20km/hr)*T

So we have a system of equations.

Now we can solve this to find the speed Sx, to do it, we need to isolate T on one equation.

T = 50km/Sx.

Now we can replace that with the other equation:

40km = (Sx - 20km/hr)*50km/Sx.

Now we can solve this for Sx.

40km*Sx = (Sx - 20km/hr)*50km

40km*Sx = Sx*50km - 1,000 km^2/hr

40km*Sx - Sx*50km = -1,000 km^2/hr

-Sx*10km = -1,000 km^2/hr

Sx = (-1,000 km^2/hr)/(-10 km) = 100km/h

Now we want to know how long the train X takes to travel 500km, so we need to solve:

500km = 100km/h*T

500km/(100km/h) = 5h = T.

The train will travel 500km in 5 hours.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

x = 17

Step-by-step explanation:

The sum of all angle measures in any triangle is 180 degrees.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 95 from both sides.

Step 3: Divide both sides by 5.

Step 4: Check if solution is correct.

Thus, x = 17.

Answer:

It would be the first option 8x-8y=32

Answer:

do the cube root of 216

the answer is 6

because 6 * 6 * 6= 216

The mean score of the class is: 84.5

The median score of the class is: 87

The modal score of the class is: 84.5

Mean = sum of all data points divided by the number of data points.

Median = the middle value of the ordered data.

Mode = the data point with the highest frequency or that appears the most.

Thus:

Arrange the data in ordered form:

60, 70, 75, 80, 80, 80, 80, 80, 80, 85, 87, 87, 87, 88, 90, 90, 90, 91, 92, 93, 95, 98

Mean = 1858/22

Mean = 84.5

Median = (87 + 87)/2 = 87

Mode = 80

Thus:

The mean score of the class is: 84.5

The median score of the class is: 87

The modal score of the class is: 84.5

Learn more about mean, median, and mode of a data on:

https://brainly.com/question/542771

Answer:

Step-by-step explanation:

cosB = a/c = 4/5

so c = 5a/4 = 5*90/4 = 112.5

b² = c² - a² = 112.5² - 90² = 4556.25

b = 67.5