Solve the following system of equations graphically.
x + y - 4 = 0
x - y = 0
The solution lies in quadrant _____.

I

II

III

IV

Given:

4(2 + a)= 24

Use Distributive Property:

8 + 4a = 24

Subtract 8 to both sides:

4a = 16

Divide 4 to both sides:

a = 4

Answer:

A = 4

Step-by-step explanation:

Assuming the question is asking what a is, then all you have to do is follow a few steps to get the right answer.

1) Use the distributive property to simplify the first part of the equation.

4(2+a) distribute the 4 to what is within the parenthesis, so multiply 4 to what is in the parenthesis. P.S: This also gets rid of the parenthesis.

(8 + 4a)

2) Now your equation looks like 8 + 4a = 24. Now, use inverse operations to isolate a. Inverse operations are basically using the opposite signs and processes to get some parts of an equation to another side.

2a. Subtract 8 from both sides of the equation:

8 + 4a - 8 = 24 - 8.

So now you have 4a = 16.

2b. Divide 4 from both sides of the equation.

4a/4 = 16/4

So now you have a = 4.

Final answer:

A = 4

Answer:

Option C

Step-by-step explanation:

9/3=3

12/3=4

so, the answer is 3/4

Option C

Answer:

Think of it as 9 / 3 = 3

                       12 / 3 =  4      

so it is 3/4. The ratio is equal because 3/3 = 1 so you are dividing by 1

Hope this helps                    

Step-by-step explanation:

Answer:

(18,0)

Step-by-step explanation:

2x + 3y – 36 = 0

The x intercept is when y = 0

Solve for x

2x + 3*0 – 36 = 0

2x +0 -36 = 0

2x -36 =0

Add 36 to each side

2x-36+36 = 36

2x = 36

Divide each side by 2

2x/2 = 36/2

x = 18

Answer:

Acute and Scalene.

Step-by-step explanation:

By definition, an acute triangle is one that has three angles that are less than 90 degrees. This triangle falls under the category.

By definition, a scalene triangle is one that has three sides with different measurements. This triangle falls under the category.

Hope this helps!

Answer:

-7

Step-by-step explanation:

2x+3=x-4

Let's start by subtracting 3 from both sides

2x=x-7

Now, subtract x from both sides

x=-7

Let's plug it in to make sure!

2(-7) +3= (-7)-4

-11=-11

Answer:

x= -7

Step-by-step explanation:

You subtract both sides by x meaning the x on the right side will turn to zero and then you subtract both sides by 3

Answer:

No

Step-by-step explanation:

One infinity cannot be larger than another

Answer:

The image of the circle is 9·x² + 9·y² - 42·x + 33·y = 22

Step-by-step explanation:

We convert the equation to the form (x - h)² + (y - k)² = r²

Where:

(h, k) = Coordinates of the center of the circle

We therefore have;

x² + y² - 2·x + 3·y = 8 which gives;

x² - 2·x + 1 - 1 + y² + 3·y + (3/2)² - (3/2)² = 8

(x - 1)² + (y + 3/2)² - 1 - (3/2)² = 8

(x - 1)² + (y + 3/2)²  = 8 +  1 + (3/2)² = 45/4

Therefore, the center = (1, -3/2) and the radius = √5 × 3/2

The line joining the centers of the actual (1, -3/2) and reflected circle (h, k) is bisected by the line of reflection, therefore the midpoint of the line is on the line of reflection with coordinates;

Midpoint between (1, -3/2) and  (h, k) = [tex]\left (\dfrac{{h - 1}}{2}, \, \dfrac{k - 3/2}{2} \right )[/tex]

Which gives;

y = 2·x - 3 being equivalent to [tex]\dfrac{k - 3/2}{2} = 2\times\dfrac{{h - 1}}{2} - 3[/tex]

Which gives;

4·h -2·k -13 = 0.......(1)

Similarly the slope of the reflecting line is perpendicular to the line joining the centers of the actual and reflected circles

Therefore;

The slope of the line, y = 2·x - 3 = 2, hence we have;

[tex]\dfrac{\left ( \dfrac{k - 3/2}{2} \right ) + 3/2}{\left (\dfrac{{h - 1}}{2}-1 \right )} = \dfrac{1}{2}[/tex]

Which gives;

2·h -4·k -12 = 0.......(2)

Multiplying equation (2) and subtracting from equation (1) gives

4·h -2·k -13 - 2×(2·h -4·k -12) = 0

6·k + 11 = 0

k = -11/6

From which we have;

2·h -4×(-11/6) -12 = 0

Hence;

h = 7/3

Therefore, the center of the reflected circle = (7/3, -11/6)

The equation of the reflected circle is therefore;

(x - 7/3)² + (y + 11/6)² = 45/4

Which gives;

9·x² + 9·y² - 42·x + 33·y - 22 = 0

or x² + y² - 42/9·x + 33/9·y = 22/9.

Answer:

x = -4

Step-by-step explanation:

5(8+x)=20

Divide each side by 5

5/5(8+x)=20/5

8+x = 4

Subtract 8 from each side

8+x-8  = 4-8

x = -4

The right answer is -4.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

4

Step-by-step explanation:

just because i just took it

Answer:

B

Step-by-step explanation:

because first it is 11, 12, after it is 13, and 14

: for 22, 23 and after 24

Answer:

B

Step-by-step explanation:

Answer:

x ≥ 7

Step-by-step explanation:

2x -9 ≥  5

          +9

      x ≥  14

           14/2

             =7

        x ≥ 7

Answer:

(x-4)(x-6)

Step-by-step explanation:

By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.

Answer:

The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Step-by-step explanation:

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.

So, Number of candidates required = 4

Total number of candidates = 15

Number of candidates which are members of the debate team. = 8

So, Number of candidates which are not the members of the debate team = 15-8 =7

The probability that all of the offices are filled by members of the debate​ team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]

The probability that none of the offices are filled by members of the debate​ team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]

Hence The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Answer:

y=-8x+13

Step-by-step explanation:

you flip the m value

then you plug in the point (1,-5) to find b (y-intercept)

then you get 13.

The equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.

Slope of line is defined as the angle of line. It is denoted by m.

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Let the equation of line : y = mx + c

Given that, the line passing through the point (1,−5) and

The line perpendicular to y = 1/8x +2

To determine the slope of the perpendicular line,

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line that is perpendicular to the given line is

m×1/8 = -1

m = -8

Substitute the value of slope m in the first equation,

y = -8x + c

To determine  the equation of the line, substitute the found slope (-8) and the point (1,−5) into the point-slope form of a linear equation:

5 = -8(1) + c

-5 = -8 + c

c = -5 + 8

c = 3

So, the required equation of line : y = -8x + 3

Hence, the equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.

Learn more about Slope of Line here:

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Answer:

8c to the pwr of 2 d to the pwr of 3

Step-by-step explanation:

i think

Answer: To find the SUM of this expression, you end up with 8c^2*d^3. (Vote me brainliest please)

Answer:

D. It assumes that all students taking geometry are in the 9th grade 

Step-by-step explanation:

Answer:

-1/24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6    + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then the graph of f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) has been shifted 4 units left and 3 units down, thus

g(x) = (x + 4)² - 3 → A

Answer:

The correct option is C.

Step-by-step explanation:

To have this credit card there is two fees, one that is fixed payed upfront and other that is payed after the second month. The fixed fee costs $62, and doesn't escalate with time, while the other one is $30 and starts to be charged after the second month. Therefore, the total cost of the card is the fixed fee plus the monthly fee multiplied by the number of months the user had the card subtracted by two, or as shown below:

[tex]C(g) = 62 + 30*(g-2)[/tex]

The correct option is C.

Answer:

A. a point that shows the y-intercept

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

Solution: x equals 4

x/14-(6/21)=0

1. Simplify 2/7

x/14- 2/7 is 0

It’s too much steps

Answer:

The answer is B on Edge

Step-by-step explanation:

Answer:( B)Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.

Step-by-step explanation:

9.2 hours; the number of hours students watch television in a week when they do not spend time with family

Step-by-step explanation:

We are given,

The x-axis represents the time spent with family and the y-axis represents the time spent on watching television.

Now, y-intercept is the point where the scatter plot crosses y-axis.

From the scatter plot and and according to the options, the data point is located at x= 0 and y= 9.2.

That is, the y-intercept represents that students watched television for 9.2 hours when they do not spend time with their family.

Answer:

No solution

Step-by-step explanation:

I'd suggest you try to solve this first:  3√(x + 8) = 4.  First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9.  We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function.  No solution.

If we now write 3√(x + 8) = -4   (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9.  If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.

The solution for the given equation is 16.

The given equation is 3√x+8=-4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

Now, 3√x+8=-4

⇒ 3√x=-4-8

⇒ 3√x=-12

⇒ √x=-12/3

⇒ √x=-4

Squaring both the sides, we get

x=16

Therefore, the solution for the given equation is 16.

To learn more about an equation visit:

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Answer:

A

Step-by-step explanation:

15 boxes multiplied by 2 is 30, 1/3 times 30 is 10

Answer:

c

Step-by-step explanation:

it can only be 0-9 that is in standard form- one digit then a decimal point

can u pls mark as brainliest?

Answer:

c

Step-by-step explanation:

hope that helps

Answer:

15n+18

Step-by-step explanation:

you have to multiply both integers(5n + 6) from inside the bracket with the number outside the bracket *3*

equation working below

3×5n=15n

3×6=18

final answer:

15n+18