Which one doesn't belong?
4(x+3)=9
4+3x=9
4*x+12=9
9=12+4x

Answer:

Use the formula.

((x1+x2)/2 , (y1+y2)/2)

(2+4)/2 , (3 + 5)/2

3 , 4

Answer:

(3, 4)

Step-by-step explanation:

(2,3) and (4,5)

midpt formula:

[tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{2+4}{2} ,\frac{3+5}{2} )\\\\(\frac{6}{2} ,\frac{8}{2} )\\\\(3,4)[/tex]

Answer:

c. y + 1 = -⅕(x - 2)

Step-by-step explanation:

To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.

The equation would be in the form of y - b = m(x - a).

(a, b) = (2, -1)

Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕

m = -⅕.

Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).

Thus:

y - (-1) = -⅕(x - 2)

y + 1 = -⅕(x - 2)

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

Answer:

40 miles per hour

Step-by-step explanation:

After 1 hour the car traveled 40 miles, after 4 hours the car traveled 160 miles. 4 x 40 = 160. Therefore 40mph.

Answer:

0.002

Step-by-step explanation:

2 thousandths is in the thousandths place, which is 3 digits to the right of the decimal point. Hope this helped!

Answer:

24 sq units

Step-by-step explanation:

shape is a triangle with a height of 6 and a base of 8

A = bh/2

A = (6·8)/2

A = 24

Answer:

x = 1 and vertex = (1, - 7 )

Step-by-step explanation:

Given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 )

The the equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 4x² - 8x - 3 ← is in standard form

with a = 4, b = - 8 , then

x = - [tex]\frac{-8}{8}[/tex] = 1

That is equation of axis of symmetry is x = 1

Substitute x = 1 into the function for y- coordinate of vertex

y = 4(1)² - 8(1) - 3 = 4 - 8 - 3 = - 7

vertex = (1, - 7 )

(1)  Equivalent fractions (2) common denominator

Solution:

1. Equivalent fractions name the same amount.

Equivalent fractions are the same value with different numerator and denominator.

Example:

These values are same.

2. A common denominator is a common multiple of two or more denominators.

Example:

Here 6 is a common multiple of 2 and 3.

Hence the answer is (1)  Equivalent fractions (2) common denominator.

⻏尺闩讠㇄讠丂七 讠丂 闩尸尸尺⼕讠闩セᗪ

Short answer (I write nPr = P(n, r) and nCr = C(n, r) ):

P (6, 4) = 6! / (6 - 4)! = 6! / 2! = 720 / 2 = 360

C (6, 4) = P (6, 4) / 4! = 6! / (4! (6 - 4)!) = 360 / 24 = 15

Long answer:

P(n, r) counts the number of permutations of n objects taken r at a time, given by

P(n, r) = n ! / (n - r )!

A permutation is a unique arrangement of objects such that the order in which they are arranged is taken into account. For example, if the objects in question are the numbers in the set {1, 2, 3}, then

• there are 3! = 6 total possible permutations if we take all 3 numbers at once:

123, 132, 213, 231, 312, 321

• there are 3!/(3-2)! = 3!/1! = 6 total permutations if we only take 2 numbers at once:

12, 13, 21, 23, 31, 32

• there are 3!/(3-1)! = 3!/2! = 3 total permutations if we take only 1 number at a time:

1, 2, 3

• and there is 3!/(3-0)! = 3!/3! = 1 way of permuting the 3 numbers without taking any of them:

(the permutation itself is just empty space)

By contrast, C(n, r) counts the combinations of n items taken r at a time, given by

C(n, r) = P(n, r) / r !

A combination is like a permutation, but the order of the objects doesn't matter. Continuing with the previous example of arrangements of the numbers from {1, 2, 3}, we have

• 3! / (3! (3-3)!) = 1 combination taking all 3 numbers at once:

123

(the other 5 permutations listed earlier are made up of the same numbers, so we consider them duplicates)

• 3! / (2! (3-2)!) = 3 combinations taking only 2 numbers at once:

12, 13, 23

• 3! / (1! (3-1)!) = 3 combinations taking only 1 number:

1, 2, 3

• 3! / (0! (3-0)!) = 1 combination taking none of them:

(again, empty space)

The main point is that the order of objects is considered across permutations, while it's ignored across combinations.

Answer:

172.12 sq in

Step-by-step explanation:

The figure is comprised of a semicircle, and 2 rectangles

Area of semicircle = 1/2(3.14)4^2 = 25.12

Area of rectangle with length of 9 and width of 7 = 7(9) = 63

Area of rectangle with length of 14 and width of 6 = 6(14) = 84

Total area = 25.12 + 63 + 84 = 172.12 sq in

Answer:

2 + y = 11      y = 9

Step-by-step explanation:

Steps

2 + y = 11

subtract 2 from both sides

2 + y - 2 = 11 - 2

y = 9

Answer:

22.78

Step-by-step explanation:

22 x 0.05 = 1.1

22 - 1.1 = 20.9

20.9 x 0.09 = 1.881

20.9 + 1.881 = 22.781

Answer:

C. 586.2 cm²

Step-by-step explanation:

Area of the figure = area of triangle + area of rectangle + area of semicircle

= (½*b*h) + (L*W) + ½(πr²)

Where,

b = 18 cm

h = 7 cm

L = 22 cm

W = 18 cm

π = 3.14

r = ½(18) = 9 cm

Substitute

Area = (½*18*7) + (22*18) + ½(3.14*9²)

Area = 63 + 396 + 127.17

Area = 586.17 ≈ 586.2 cm²

Ok, I hope im right. (Others correct me if im not. But when I worked out this problem I got y is approximatly 4,882 attendees after 6 years.

Gathering info from the graph I created a table

(0,20) , (1,30) , (2,45), ...

I found the difference between the points listed. For example, 30÷20 is 1.5. So, each point is multiplied times 1.5 to continue the sequence.

Use the equation: y=a(1+r)^t

Remember what each variable stands for. That way you can plug in the correct information

Continuing..

y=a(1+r)^t

y=20(1+1.5)^t ; combine like terms

y=20(2.5)^t

b) Plug in the # of years. 6 in our case, everywhere you see a t

y=20(2.5)^6

y is approximately equal to 4882.8125

Round because we can only have whole numbers. we're talking about people.

I hope I got this right. But, if not, I tried

Answer: 9

Step-by-step explanation: because 3/4 of an hour is 45 minutes and 45/5 is 9 and it’s in 5 min segments that’s why you divide 45 by 5

sorry for the first one i read the question wrong

Answer:

119 sq cm

Step-by-step explanation:

(5 * 8) + (4 * 8 * 2) + (5 * 3)

Answer:

116

Step-by-step explanation:

4×3=12

8×5=40

4×8×2=64

12+40+64=116

[tex]f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7[/tex]

Answer:

^5 √ 10

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation: ARM architecture

Answer:

surface area = 84 cm^2

Step-by-step explanation:

[tex]interquartile \: range = \frac{1}{2} (Q _{3} - Q _{1} ) \\ = \frac{1}{2} (38 - 34) \\ = \frac{1}{2} (4) \\ = 2[/tex]

Answer:

The other dude made 0 sence

Step-by-step explanation:

Its 12

Answer:

???

Step-by-step explanation:

Answer:

whts the question??

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When multiplying exponents, you would add the degrees.

A, B, and D's degrees add up to [tex]5^{-2}[/tex] , which is equal to 1/25.

C adds up to [tex]5^{2}[/tex], which is 25, therefore making it C

Answer:

Step-by-step explanation:

Given function is,

f(x) = -4(x - 3)² + 1

A). Negative sign of the coefficient (-4) tells that the parabola opens downwards.

    And 4 represents that the parent function is stretched vertically by 4 units.

B). By comparing this equation with the vertex form of the quadratic function,

    f(x) = a(x - h)² + k  

    Here, (h, k) is the vertex of parabola.

    Vertex of the given parabola → (3, 1)

C). Axis of symmetry → x = 3

D). Domain of the given quadratic function → (-∞, ∞)

     Range of the given function → (-∞, 1)

Answer:

it's a trapezoid

Step-by-step explanation:

((major base + minor base) x height) / 2

((7+5)x8) / 2 = 52