Find the value of x in each case:

Answer:

x² + y² = 100

6² + 8² = 100

36 + 64 = 100

100 = 100

Because this is a true statement, the answer is yes, it does lie on the circle.

Answer: 5

Step-by-step explanation:

4x+8=8x-12

20=4x

5=x

Answer:

5.

Step-by-step explanation:

Let's say that the mysterious number is x.

8 more than 4 times x equals 12 less than 8 times x.

8 + 4x = 8x - 12

8x - 12 = 4x + 8

8x - 4x = 8 + 12

4x = 20

x = 5

Hope this helps!

Answer:

Hey there!

The line 4x-3y=-9 can be converted to y=mx+b form.

4x-3y=-9

-3y=-4x-9

3y=4x+9

y=4/3x+3

The slope of a line perpendicular to this line would be -3/4.

The slope of a line parallel to this line would be 4/3.

Hope this helps :)

Answer:

15

Step-by-step explanation:

Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:

(y2 - y1)/(x2 - x1)

=> Rate of change of the line passing (1,15) and (3,45):

(45 - 15)/(3 - 1) = 30/2 = 15

Answer:

Width=8

Length=28

Step-by-step explanation:

Width=x

Length=3x+4

perimeter is 2 lengths and 2 widths

2x + 2(3x+4)=72

2x+6x+8=72

8x=72-8

8x=64

x=8, so the width is 8

the length Is 3(8)+4 = 28

Answer:

Negative 1/300

Step-by-step explanation:

I took the qiuz

Answer:

A (0,-3) and D(4,5)

Step-by-step explanation:

Given system of equations

y = x2 - 2x-3

y = 2x - 3

Solution to these will be value of x for which value of y in both equation will  same.

In graph, solution will point at which  curve of both equation intersect each other

To solve this we will equate the two  equations

[tex]x^2 - 2x-3 = 2x-3\\ =>x^2 - 2x-3 -2x + 3 = 0\\=> x^2 - 2x - 2x -3 + 3 = 0\\\=> x^2 - 4x = 0\\=>x(x-4) = 0\\Thus\\x = 0 \ or \ x-4 = 0\\x = 0 \ or \ x = 4[/tex]

Thus, value of x is 0 and 4

we will put this value in given set of equation.

y = 2x- 3

taking x  = 0

y = 2*0 -3 = 0-3 = -3

one solution is (0,-3)

taking x = 4

y = 2*4 - 3 = 8-3 = 5

Another solution is (4,5).

Though , the problem is solved we will see it this value satisfies other equation or not better understanding

y = x^2 - 2x-3

taking x = 0

y = 0^2 - 2*0-3 = -3

one solution (0,-3)

taking x = 4

y = 4^2 - 2*4-3 = 16-8 -3 = 8-3 = 5

other solution (4,5)

thus, we see both equation gives same set of solution.

Answer:

77

Step-by-step explanation:

you add the amount he earn which is 32+45+43 which will give you 120 and than you subtract the amount he spend which are 17 and 26, after that you will get 77 as your answer

Answer:

See below.

Step-by-step explanation:

June: $32

July: $45

August: $43

[tex]32+45+43=120[/tex]

Kyree has $120 in total.

School supplies: $17

Clothes: $26

[tex]26 +17=43[/tex]

[tex]120-43=77[/tex]

Kyree has $77 left.

:)

Answer:

The correct answer is C.

Step-by-step explanation:

I solved by finding for X. Hope this helps!

Answer:

option c is correct.

hope it will help u...

Answer:

-3x + 19

Step-by-step explanation:

f(x) = -5² - 4

f(x) = 25 - 4

f(x) = 21

(f+g)(x) = f(x) + g(x)

21 + -3x - 2

-3x + 19

Answer:

Hello!

~~~~~~~~~~~~~~~~~

1.2n+1=1-n

=

n = 0

Step-by-step explanation:  Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

Answer:

1.   2 1/4 cups  

2.  2 7/20 cups

Answer:

2 1/4 and 2 7/20

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

range = 2200 - 300 = 1900

To find standard deviation, we have:

standard deviation = range/4 = [tex] \frac{1900}{4} [/tex] = 475

The range rule of thumb estimate for the standard deviation is 475

Given:

Standard deviation,[tex] \sigma[/tex] = 475

Margin of Error, ME = 100

[tex] \alpha [/tex] = 1 - 0.90 = 0.10

Za/2 = Z0.05 = 1.64

Find sample size, n:

n ≥ [tex] [Z_\alpha_/_2 * (\frac{\sigma}{ME})]^2 [/tex]

n ≥ [tex][1.64 * (\frac{475}{100})]^2[/tex]

n ≥ 60.68

≈ 61

Minimun sample size,n = 61

Answer:

y=5 degrees

Step-by-step explanation:

It is an isosceles triangle so that means that there are two angles that equal 75, so that means the third side with 4y + 10 is equal to 30 degrees.

4y+10=30

4y=20

y=5 degrees

Answer:

271.80

Step-by-step explanation:

using the proprtionality we get

Answer:

All real numbers.

Step-by-step explanation:

Since the graph is a linear function, and the line doesn't have any holes or asymptotes, the graph can input any x-value and output any y-value. Therefore, our domain is all real numbers (any x-value can work).

Answer: All real numbers

Step-by-step explanation:

It is a infinite line, therefore all x values and all y values can be put in and will read a value :)

Answer:

1) Pr(all three) = 0.064

2) Pr(none) = 0.216

3) Independent event

Step-by-step explanation:

Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)

Where Pr = probability

This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure

Where p = success, q = failure

For n trials,

Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Pr (security) = 40% = 0.4

p = 0.4

q = 1-p = 1-0.4 = 0.6

Numbers selected at random = n = 3

See attachment for more details on the workings.

1) Probability all three of the selected homes have a security system = Pr(all three)

Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³

= 0.4×0.4×0.4

Pr(all three) = 0.064

2) Probability none of the three selected homes have a security system

= Pr(none)

Pr(none) = 1 × (0.4)^0 × (0.6)³

= 0.6³ = 0.6×0.6×0.6

Pr(none) = 0.216

3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.

Answer:

25 minutes

Step-by-step explanation:

10 ÷ 2 = 5

1 lap = 5 minutes

5/1 × 5 = 25

25 minutes

Hope this helped! :)

Answer:

25 minutes

Step-by-step explanation:

Let's set up a proportion using the following setup:

minutes/laps=minutes/laps

It takes 10 minutes to swim 2 laps.

10 minutes / 2 laps = minutes/laps

We don't know how long it will take to swim 5 laps. Therefore, we can say it takes x minutes to swim 5 laps.

10 minutes/ 2 laps= x minutes / 5 laps

10/2= x/5

We want to find out what x is. Therefore, we need to get x by itself.

x is being divided by 5. The inverse of division is multiplication. Multiply both sides by 5.

5*(10/2)=(x/5)*5

5*10/2=x

5*5=x

25=x

It takes 25 minutes to swim 5 laps.

Answer:

(30,0)

Step-by-step explanation:

y=0

-2/5 *x +12=0

2x/5=12

2x=12*5

2x=60

x=60/2

x=30

Hey there! :)

Answer:

(30, 0).

Step-by-step explanation:

Solve for the x-intercept, or zero of the equation by setting the equation equal to 0:

y = -2/5x + 12 becomes:

0 = -2/5x + 12

Subtract both sides by 12:

-12 = -2/5x

Divide both sides by -2/5:

-12 (-5/2) = -2/5x (-5/2)

30 = x.

Therefore, the x-intercept is at (30, 0).

Answer:

hope u will understand it....

Answer:

Hello!

___________________

A)Factor x^2 - 12x + 32 using the AC method. ( x - 8 ) ( x - 4)

B) Factor x^2 - 14x + 48 using the AC method. ( x - 8) ( x - 6)

C) Factor x^2 - 3x + 2 using the AC method. ( x - 2) ( x - 1)

Step-by-step explanation: Always factor by x^2 while using the AC method.

Hope this helped you! :D

Answer:

128 square feet

Step-by-step explanation:

Let the perimeter of the rectangular garden be expressed as 2(L+W)

L = length of the garden

W = width of the garden

If the length of the garden is twice its ​ width then L = 2W; W = L/2

P = 2(L+L/2)

Since the perimeter is L + 32 (One length of a rectangular garden that lies along a patio wall and the rest of the garden is enclosed by 32 feet of fencing.)

Substituting in the formula above:

32+L = 2(L+L/2)

32+L = 2L+L

32 = 2L

L = 16 feet

Since L = 2W

W = L/2 = 16/2

Width = 8 feet

Area of the garden = Length × Width

Area of the garden = 16×8

Area of the garden = 128 square feet

The area of the​ rectangular garden is equal to 128 square feet.

Given the following data:

Translating the word problem into an algebraic equation, we have;

The length of the garden is twice its​ width:

[tex]L=2W[/tex] = [tex]W=\frac{L}{2}[/tex]

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P=2(L+W)[/tex]

Where:

Substituting the parameters into the formula, we have;

[tex]32+L=2(L+\frac{L}{2})\\\\32+L=2L+L\\\\32+L=3L\\\\3L-L=32\\\\2L=32\\\\L=\frac{32}{2}[/tex]

Length, L = 16 feet.

For the width:

[tex]W=\frac{L}{2}\\\\W=\frac{16}{2}[/tex]

Width, W = 8 feet.

Now, we can calculate the area of the​ rectangular garden:

[tex]Area = LW\\\\Area = 16 \times 8[/tex]

Area = 128 square feet.

Read more on area of a rectangle here: https://brainly.com/question/25292087

Answer: y=-5

Step-by-step explanation:

A horizontal line appears on the graph if it goes through the y-axis. Knowing this, the coordinate tells us that the y-coordinate is -5. This tells us that the equation of the line is y=-5.

Answer:

line 2 and line 3

Step-by-step explanation:

line1=y=-9x+6. gradient 1= -9

line2=x+⅓y=-6

⅓y=-6-x. gradient2= -3

y=-18-3x

line3=y=-3x-8. gradient3= -3

line4=y+7=-1/9x-4/9

y=-1/9x-4/9-7. gradient4= -1/9

y=-1/9x-7⁴/9

parallel lines have the same gradient

Answer:

Step-by-step explanation:

the simple interest formula= principal* interest rate*time

simple interest : 100000*%2*2 years

simple interest= 4000 dollars

compound quarterly : A=principal(1+r/4)^t

since it is quarterly and have 4 quarters in a year, and 8 in two years.

compound quarterly: 100000(1+0.03/4)^8=106159.88

it is better to invest with compound interest because it add 6159 dollars in two years to the investment of 100000 dollars.

the difference between the interest: 6159.88-4000=2159.88

Answer:

A. All real number

B. Positive Real numbers

C. y intercept is 1

D. x axis

E. Decreasing

F. Base

Step-by-step explanation:

Given:

[tex]f(x) = (\frac{2}{3})^x[/tex]

A.

Domain of a function f(x) is the value of 'x' for which it has a defined value.

Here, f(x) can have any real number to be given to x.

So, domain is all real numbers.

B.

Range of a function f(x) is the value of f(x) when we give some value of x as input.

Here, we can not have negative value of f(x) because x is in the exponent.

So, the range is Positive Real numbers.

C.

y intercept of any function f(x) is the value of f(0).

[tex]f(0)=(\frac{2}{3})^0 = 1[/tex]

So, y intercept is 1.

D. Horizontal asymptote is the the line where value of [tex]x \rightarrow \infty[/tex]

x axis is the answer.

E. The graph is decreasing with increasing value of x(from left to right).

Because the base is less than 1.

F. The value of base determines whether the graph will be decreasing or increasing.

If base > 1, the graph will be increasing will increasing value of exponent (x).

Here the base is less than 1 so decreasing graph.

Please refer to the attached graph for better understanding of the given function.

Answer:

10,000 is the answer to ur question

Answer:

10000

Step-by-step explanation:

√100000000 = 10000

Answer:

D. The volume is the product of the area of the base, (2x - 1)(x - 3), and the height x + 4.

Step-by-step explanation:

Volume of a Rectangular Block: V = lwh

Since we are given variables l, w, and h, we simply plug them in:

V = (2x - 1)(x -3)(x + 4)

We can see that we would need to multiply all 3 to find our volume. Therefore, our answer is D.

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!