What is the solution to this system of equations?
y = x +4
x+y= 2

Answer:

a. option is the correct answer

Answer:

11 cups

Step-by-step explanation:

Answer:

11 cups

Step-by-step explanation:

3 + 3 + 2 + 1 + 2 = x

6 + 3 + 2 = x

6 + 5 = 11

11 cups

or you can just solve directly.

--Applepi101

Answer:

Two possible lengths for the legs A and B are:

B = 1cm

A = 14.97cm

Or:

B = 9cm

A = 12cm

Step-by-step explanation:

For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.

Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:

A^2 + B^2 = H^2

If we know that H = 15cm, then:

A^2 + B^2 = (15cm)^2

Now, let's isolate one of the legs:

A = √( (15cm)^2 - B^2)

Now we can just input different values of B there, and then solve the value for the other leg.

Then if we have:

B = 1cm

A = √( (15cm)^2 - (1cm)^2) = 14.97

Then we could have:

B = 1cm

A = 14.97cm

Now let's try with another value of B:

if B = 9cm, then:

A = √( (15cm)^2 - (9cm)^2) = 12 cm

Then we could have:

B = 9cm

A = 12cm

So we just found two possible lengths for the two legs of the triangle.

2 Answers:

Parallel lines always have equal slope, but different y intercepts.

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

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

Answer:

please check explanations

Step-by-step explanation:

Min stands for the minimum value

This is the smallest value

Looking at the numbers, the minimum value is 1

Q1 is the lower quartile

We have the formula as;

Q1 = (n + 1)/4

where n is the number of terms and that is 10

Q1 = (10 + 1)/4 = 11/4 = 2.75

This is approximately 3 and that means the the lower quartile is the third term and that is 6

Median is the middle value and that is;

(12 + 13)/2 = 25/2 = 12.5

Q3 is the third quartile and that is;

Q3 = 3(n + 1)/4 = 33/4 = 8.25

The third quartile is the 8th term and that is 14

Max is the highest number and that is 19

Answer:       [tex]2^{8065}[/tex]

Given:

The histogram of a survey that represents the amount of electricity used by residents in a local community.

To find:

The approximate number of participants in the survey.

Solution:

Using the given histogram, we get the frequency table:

Electricity usage              Frequency

          50                                 23

         150                                 34

        250                                 25

        350                                 26

        450                                 42

Sum of frequencies is:

[tex]23+34+25+26+42=150[/tex]

It means the total number of participants in the survey is 150.

Therefore, the correct option is (a).

Answer:

no not even if its supposed to be a negative

Step-by-step explanation:

Answer:

m = 7

Step-by-step explanation:

- 3(12 - m) = - 1(m - 8)

- 36 - (- 3m) = - m - 8

- 36 + 3m = - m - 8

- 36 + 3m + m = - m + m - 8

- 36 + 4m = - 8

- 36 + 36 + 4m = - 8 + 36

4m = 28

4m ÷ 4 = 28 ÷ 4

m = 7

Answer:

20%

Step-by-step explanation:

5 numbers in total, only 1 option = 1/5

-Gage Millar, Algebra 2 tutor

Answer:ok

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

Given expression is,

[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]

Let the given expression is equal to y.

[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]

By applying logarithmic rule,

[tex](\frac{w^2}{w^6} )=w^y[/tex]

[tex]w^2\times w^{-6}=w^y[/tex]

[tex]w^{2-6}=w^y[/tex]

[tex]w^{-4}=w^y[/tex]

[tex]y=-4[/tex]

Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].

Option (1) will be the correct option.

Answer:

9 , 4 , 1 , 2

Step-by-step explanation:

Given that Hiro picked up 4 digit cards and the cards will make Multiple of 10

The numbers on the digit cards that will most likely make Multiple of 10 are :

9 , 4 , 1 , 2

Answer:

5 hours

Step-by-step explanation:

The pool will be completely drained when y = 0

0 = -4,000x + 20,000

subtract 20,000 from both sides

-20,000 = -4,000x

divide both sides by -4,000

x = 5

Have a good day!

Answer:

5 hours.

Step-by-step explanation:

When it is drained y will be = to zero, so

-4000x + 20000 = 0

-4000x = -20000

x = -20000/ -4000

= 5.

Answer:

The probability that she would succeed is 1/2

Step-by-step explanation:

Firstly. we have to calculate the area of the board

That would be the area of the rectangle

This is the product of the base and the height which is 50 cm * 40 cm = 2,000 cm^2

The area of the triangle is the area of the base and the height divided by 2

we have this as;

1/2 * 50 * 40 = 1,000 cm^2

The probability would be the area of the triangle divided by the area of the board

This is because she is aiming at the triangle while having the whole board to work against

This is 1,000 cm^2/2000 cm^2 = 1/2

Answer:

88.3

I just think so

I dont have a 20 letter explantion

Given:

Dimensions of the rectangular table are 40 inches by 25 inches.

To find:

The length of the diagonal of the table.

Solution:

Diagonal of a rectangle is:

[tex]d=\sqrt{l^2+w^2}[/tex]

Where, l is the length and w is the width of the rectangle.

Putting [tex]l=40,w=25[/tex] in the above formula, we get

[tex]d=\sqrt{(40)^2+(25)^2}[/tex]

[tex]d=\sqrt{1600+625}[/tex]

[tex]d=\sqrt{2225}[/tex]

[tex]d\approx 47.17[/tex]

Therefore, the length of the diagonal is about 47.17 inches.

Answer:

4.5

Step-by-step explanation:

(-1,2) (1, -2)

√(x2 - x1)² + (y2 - y1)²

√[1 - (-1)]² + (-2 - 2)²

√(2)² + (-4)²

√(4) + (16)

√20

= 4.5

Answer:

[tex]134.041\ \text{in}^3[/tex]

Step-by-step explanation:

r = Radius of sphere = Radius of basketball = 4 inches

h = Height of cylinder = 8 inches

Volume of unoccupied space will be the difference in volume between the cylinder and the basketball

[tex]\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3[/tex]

Unoccupied volume in the container is [tex]134.041\ \text{in}^3[/tex].

Answer:

the second one

Step-by-step explanation:

hai-

Answer:

La gráfica con la rectas citadas se encuentran contenidas en la imagen adjunta.

Step-by-step explanation:

Dado que las rectas [tex]r[/tex] y [tex]s[/tex] son polinomios de primer orden, basta con conocer dos puntos distintos de cada una:

Recta r

[tex]A(x,y) = (0, 0)[/tex], [tex]B(x,y) = (1, 2)[/tex]

Recta s

[tex]C(x,y) = (0, 1)[/tex], [tex]D(x,y) = (1, 3)[/tex]

A continuación, ubicamos los puntos en un plano cartesiano y trazamos las rectas respectivas:

Answer:

yes

Step-by-step explanation:

a square is a rectangle but a rectangle is not a square

meaing that a square is a rectangle but not all rectangles are squares

Answer:

3.927rad

Step-by-step explanation:

Each student reserved 2.2 pounds each

Step-by-step explanation:

I divided 22 by 10 and got 2.2 as for each student I am not sure if your teacher wants it simplified to the nearest whole number but if that's the case each student got 2 pounds of candy

Answer:

2nd Quadrant

Step-by-step explanation:

ordinate = y cordinate

abcissa = x cordiante

(-7,3)

( -,+) lies in second quadrant)

Hope u understand

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Thank You