Find the value of x and y. Write your answers in simplest form

Answer: 5 Units

Step-by-step explanation:

Answer:

[tex]\sqrt{x+6}[/tex]

Step-by-step explanation:

So, there are a few things we need to go over to graph a function,

When a number is outside of a root, it changes the y value. For example:

y=[tex]\sqrt{x}+6[/tex]

With the +6, y will always be 6 higher than normal.

If it was -6, then y will always be 6 lower than normal.

What if the number is inside the root? Well, it works a little differently.

Instead of changing the y value, it changes the x value. For example:

y=[tex]\sqrt{x+6}[/tex]

So if you put a number in for x, lets say -6, wht would you get?

You would get -6+6=0

The square root of 0 is 0, so when x=-6, y=0

Normally, x would have to equal 0 for the y value to be 0.

So basically, when we see the number isnide of the root, we can think the our x coordinate being subtracted by that number.

This makes since, because if we subtract the +6 from x:

x-(+6)= x-6, and -6 is our x coordinate.

If it was -6 at the start, this would also work:

x-(-6)= x+6. So our x coordinate would start at 6.

Now, lets look at our graph.

As we can see, the x values start at -6, and the y values starts at 0.

This eliminates A and D, since the +6 would change the y value, not the x.

Remember that x-6 would make x a postive 6.

x+6 however, would make x a negative 6.

So we need x+6 in a square root.

This eliminates B, since it has a x-6, making the x coordinate postive 6, not negative 6.

So c is our answer.

Hope this helps!

Answer:

OA . -6

Step-by-step explanation:

correct me if I'm wrong

Answer:

35 is correct

Step-by-step explanation:

hope this helps.

Answer:

35°

Step-by-step explanation:

Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.

Answer:

X=2, y=-1

Step-by-step explanation:

-4x +8y=-16 equation 1

4x +3y=5 equation 2

     11y=-11 add two equations to eliminate x

y=-1

solve for x by inputting y value into either equation

4x+3y=5

4x+3(-1)=5

4x-3=5

4x=8

x=2

Answer:

Width = 3 m

Step-by-step explanation:

Formula for perimeter:

P = l + w + l + w

Plug in what we know:

14 = 4 + w + 4 + w

Isolate variable w (width):

14 = 8 + 2w

6 = 2w

3 = w

Check your work:

14 = 4 + 3 + 4 + 3

14 = 7 + 7

14 = 14

Correct!

(Don't forget to add units in your answer!)

Answer:

1 centimeter

Step-by-step explanation:

nope

Answer: 15

Step-by-step explanation: 5+9+11+12+13+14+17=81

Make an equation based on this and solve for the variable (x)

81+x/8=12

12*8=96

81+x=96

96-81=15

x=15

Answer:

What is your question for probabilities?

Answer:

64

Step-by-step explanation:

a rectangle with length and width equal is a square.

32/4 sides

equals 8 for each side.

l x w = A

8 x 8 = 64

Answer: 64 m ^2

Step-by-step explanation:

Ok well if it's length is the same as the width then we can divide the perimeter by 4 to see the length of each side

[tex]\frac{32}{4} =8[/tex]

Each side is 8m long so it's an 8x8 rectangle. Now we can find the area.

8x8=64

The area is 64 meters squared

[tex]y = \frac{1}{4} {x}^{4} + \frac{5}{2} {x}^{2} - 18x + k[/tex]

Step-by-step explanation:

[tex]dy = ( {x}^{3} + 5x - 18)dx[/tex]

Integrating the above expression, we get

[tex]y = \int( {x}^{3} + 5x - 18)dx[/tex]

[tex] = \frac{1}{4} {x}^{4} + \frac{5}{2} {x}^{2} - 18x + k[/tex]

where k is the constant of integration

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {21}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 \: ( \: x + 2 \: )[/tex]

Plugging in the value [tex]x = 5[/tex] in the above expression, we have

[tex] = 3\:( \: 5 + 2 \: )[/tex]

[tex] = 3 \: ( \: 7 \: )[/tex]

[tex] = 3 \times 7[/tex]

[tex] = 21[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

Answer:

the answer for your question is b

Answer:

64

Step-by-step explanation:13+51=64

Answer:

11b^3+14b^2+b+9

---------------------------

         b2

Step-by-step explanation:

Answer:

D. x + 10 pence

Step-by-step explanation:

Since the pen costs 10 pence more than the ruler, we need to add 10 to x.

Answer:

length=(3x-2)

Step-by-step explanation:

area of rectangle=length*breadth

3x^2 + 7x - 6=length * (x+3)

3x^2 +(9-2)x -6=length *(x+3)

3x^2+9x-2x-6=length*(x+3)

3x(x+3)-2(x+3)=length*(x+3)

(x+3)(3x-2)=length*(x+3)

(x+3)(3x-2)/(x+3)=length

(3x-2)=length

Answer:

(3x - 2)

Step-by-step explanation:

Given that the area A = length × width

A = 3x² + 7x - 6 ← factor to obtain length

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 6 = - 18 and sum = + 7

The factors are + 9 and - 2

Use these factors to split the x- term

3x² + 9x - 2x - 6 ( factor the first/second and third/fourth terms )

= 3x(x + 3) - 2(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 2)

We know (x + 3) is the width , then (3x - 2) is the length

Step-by-step explanation:

the answer is in the above image

Answer:

[tex]-12^{2}[/tex] + 9a - 5

Step-by-step explanation:

combine like terms :

-7[tex]a^{2}[/tex] - 5[tex]a^{2}[/tex] = -12[tex]a^{2}[/tex]  

+3a - (-6a) = 9a    

-9 - (-4) = -5          

Answer:

Step-by-step explanation:

Area of rectangle:

Given:

The area is:

A = (2x - 7)(3x² + 4x) =

   2x(3x² + 4x) - 7(3x² + 4x) =

   6x³ + 8x² - 21x² - 28x =

   6x³ - 13x² - 28x

Answer:

Area of rectangle = 6 x ³ - 13 x ² + 28

step by step explanation

Given That :-

To Find :-

Area of rectangle = Length × Width

Using Formula

Area of rectangle = Length × Width

substitute the values.

Area of rectangle = ( 2 x - 7 ) × ( 3 x ² + 4 )

= 2 x ( 3 x ² + 4 ) - 7 ( 3 x ² + 4 )

= 6 x ³ + 8 x - 21 x ² + 28

= 6 x ³ - 13 x ² + 28

The area of the shaded region is (area of the circle) - (area of the square) - (area of the triangle)

Option A is the correct answer

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The shaded region consists of the area inside the circle but outside the square, as well as the area inside the equilateral triangle but outside the square.

Now,

The area of the circle is πr²

Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.

Let's say the side length of the square is s.

By the Pythagorean theorem,

s² + s² = (diameter)²

2s² = (2r)²

s² = r²

The area of the square is s² = r².

The area of an equilateral triangle with side length s is √(3)/4 x s².

Since the side length of the square is equal to the height of the equilateral triangle, the side length of the equilateral triangle is also equal to s.

The area of the shaded region.

= (area of the circle) - (area of the square) - (area of the triangle)

Thus,

The area of the shaded region is (area of the circle) - (area of the square) - (area of the triangle)

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

[tex]R_2[/tex]  is 3 ohms

In a circuit containing two resistors [tex]R_1[/tex] and [tex]R_2[/tex] connected together in parallel, the total resistance [tex]R_T[/tex] is given by;

[tex]\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]              ---------(i)

Make [tex]R_2[/tex] subject of the formula;

=> [tex]\frac{1}{R_2} = \frac{1}{R_T} - \frac{1}{R_1}[/tex]  

=> [tex]\frac{1}{R_2} = \frac{R_1 - R_T}{R_TR_1}[/tex]

=>   [tex]{R_2} = \frac{R_TR_1}{R_1 - R_T}[/tex]       ---------------(ii)

From the question,

[tex]R_1[/tex] = 6Ω

[tex]R_T[/tex] = 2Ω

Substitute these values into equation (ii) as follows;

=> [tex]{R_2} = \frac{2*6}{6 - 2}[/tex]

[tex]{R_2} = \frac{12}{4}[/tex]

[tex]R_2[/tex] = 3Ω

Therefore, the value of [tex]R_2[/tex] = 3 ohms or [tex]R_2[/tex] = 3Ω

Answer: is 3 ohms.

Explanation: edmentum/plato :)

Answer:

9

Step-by-step explanation:

Since we want the fewest number of groups possible, we need to maximize the number of people in each group. Since there can be a maximum of four people in each group, we can have a maximum of [tex]\left\lfloor \frac{35}{4}\right \rfloor=8[/tex] groups of four. The final three students can form the last group, hence the smallest number of groups possible is [tex]8+1=\boxed{9}[/tex]

Answer:

EQUATION: X - 12 = 7X. SOLUTION: X = - 2.

Step-by-step explanation:

First, we do not know the number. When the number is unknown, it is a variable. I chose the variable, "X."

12 less than signals that we subtract 12. So that would be X - 12.

A product of 7 AND that number means we multiply 7 by X. That can be notated as 7X.

12 less than X is EQUAL to the product of 7 and X. So X - 12 = 7X.

To find the solution, we want to know the value of X. Move X to one side of the equation.

X - 12 = 7X

-X           -X

_________

-12     =   6X

Divide both sides by 6 to get X by itself.

X = - 2.

Given:

Two brothers are sharing a certain sum of money in the ratio [tex]\dfrac{2}{3}:\dfrac{3}{5}[/tex].

The largest share was Gh¢500.00.

To find:

The total amount shared between them.

Solution:

It is given that, two brothers are sharing a certain sum of money in the ratio [tex]\dfrac{2}{3}:\dfrac{3}{5}[/tex].

First we need to make the denominators common.

[tex]Ratio=\dfrac{2\times 5}{3\times 5}:\dfrac{3\times 3}{5\times 3}[/tex]

[tex]Ratio=\dfrac{10}{15}:\dfrac{9}{15}[/tex]

[tex]Ratio=10:9[/tex]

So, the two brothers are sharing a certain sum of money in the ratio 10:9.

Let the shares of two brothers are 10x and 9x respectively. So, the larger share is 10x.

It is given that the largest share was Gh¢500.00.

[tex]10x=500[/tex]

[tex]x=\dfrac{500}{10}[/tex]

[tex]x=50[/tex]

Now, the total amount shared between them is:

[tex]Total=10x+9x[/tex]

[tex]Total=19x[/tex]

[tex]Total=19(50)[/tex]

[tex]Total=950[/tex]

Therefore, the total amount shared between them is Gh¢950.00.

Answer:

k = 11

Step-by-step explanation:

Given the points are collinear then the slopes between consecutive points are equal.

Using the slope formula

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

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = [tex]\frac{-1-1}{1-5}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with another 2 points and equate to [tex]\frac{1}{2}[/tex]

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)

m = [tex]\frac{4+1}{k-1}[/tex] , then

[tex]\frac{5}{k-1}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

k - 1 = 10 ( add 1 to both sides )

k = 11

Answer:

105mm

Step-by-step explanation:

To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall

Number of days in April: 30

Average daily rainfall: 3.5mm

Rainfall during the month = 30 * 3.5 = 105mm

Answer:

Step-by-step explanation:

[tex]\frac{2}{9}=\frac{2*3}{9*3}=\frac{6}{27}\\\\\frac{2}{9}=\frac{2*4}{9*4}=\frac{8}{36}\\\\\frac{2/2}{9/2}=\frac{1}{4.5}[/tex]

Answer:

Rate = 10.4%

Step-by-step explanation:

Given :

P = $30000

A = $42520

Interest earned = 42520 - 30000 = $12520

Time = 4years

Find R

     [tex]Interest = \frac{PRT}{100}[/tex]

        [tex]12520 = \frac{30000 \times R \times 4}{100}\\\\12520 = 300 \times 4 \times R\\\\12520 = 1200 \times R\\\\R = \frac{12520}{1200}\\\\R = 10.43 \%[/tex]

Round to 1 decimal place, Rate = 10.4%