PLEASEEE HELP !! in two the three sentences, explain how you would find the line of symmetry for the parabola whose equation is
y=x2+4x+16

Answer:

1) 114

2) 120

3) 35

4) 92

5) 83=10x+3

x=8

6) 2x+4+130=180

2x=46

x=23

7) 92+8x=180

x=11

8) 3x+8=35

x=9

9) 16x+4=180

16x=176

x=11

10) 76+x+104=180

x=0

Answer:

Step-by-step explanation:

Suppose

[tex]\left. { S = a _ { 1 } \frac { 1 - 5 ^ { 6 } } { 1 - 5 } } \\\\ { \Leftrightarrow S = \frac { a _ { 1 } } { 4 } ( 5 ^ { 6 } - 1 ) } \\\\ { \Leftrightarrow a _ { 1 } = \frac { 4 S } { 5 ^ { 6 } - 1 } } \right.[/tex]

then a1 = (4×15 624)÷(5^(6)-1)

            = 4

Answer:

11

Step-by-step explanation:

11x5+10=65

Answer: 11 on edge

Step-by-step explanation:

subtract 10 from both sides of the equation to get: 5x=55

then, divide both sides by 5 to get: x=11

so he used the gym 11 times last month!

Hope this helps have a great day!

Answer:

y>1.5x+3

Step-by-step explanation:

All you need to do is isolate y, no coefficients, using basic algebra.

3x-2y<-6

-3x both sides

-2y<-3x-6

divide by -2 and switch the comparing sign to the other direction.

y>1.5x+3

Answer:

y > 3/2x +3

Step-by-step explanation:

3x-2y<-6

Subtract 3x from each side

3x-3x-2y<-3x-6

-2y< -3x-6

Divide each side by -2, remembering to flip the inequality

-2y/-2 > -3/-2x -6/-2

y > 3/2x +3

Answer:

62.5 ft

Step-by-step explanation:

→You can set up a proportion, like so:

[tex]\frac{20}{8} =\frac{x}{25}[/tex]

→Cross multiply:

[tex]\frac{500}{8x}[/tex]

→Divide 500 by 8:

x = 62.5

Answer:

62.5 feet

Step-by-step explanation:

8/20

25/x

25*20/8 = x

x = 62.5

Answer:

B. [tex]\sqrt[9]{xy^2}[/tex]

Step-by-step explanation:

Answer:

[tex]x(\sqrt[9]{y^2} )[/tex]

Step-by-step explanation:

[tex]xy^{2/9}[/tex]

The power 2/9 is on the variable y.

[tex]x(y^{2})^{1/9}[/tex]

The power 1/9 can be written as the ninth root.

[tex]x(\sqrt[9]{y^2} )[/tex]

Answer:

1560

Step-by-step explanation:

1200*0.075 = 90

1200+90+90+90+90

Answer:

$1,560

Step-by-step explanation:

7.5% of $1,200 is 90. 90 times 4 (as in 4 years) is 360.

$360 plus $1,200 is $1,560.

Answer:

1.2

Step-by-step explanation:

She bought 1.2 bitcoins in $400.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that,

Number of bitcoins in $1 USD =  0.003

The to find the number of bitcoins in $400

We just multiply 400 by the number of bitcoin bought in 1 $1 USD

Therefore,

The number of bitcoin she bought in $400 is,

= 400 x 0.003

= 1.2

Thus,

Number of bitcoins in $400 = 1.2

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Answer:

4

Step-by-step explanation:

6 --6=12

2--1=3

12/3=4

Answer:

D .

Step-by-step explanation:

(x+2)2+y2=4.

this is because the equation for the circle is in the graph.

Answer:

D

Step-by-step explanation:

Answer:

Complementary angles add to 90 degrees.

If they are equal, each angle is 45 degrees.

Step-by-step explanation:

Answer:

Because the product is always non-termination,non-repeating decimal.

Step-by-step explanation:

If we have [tex]a[/tex] is irrational;  [tex]b[/tex] is rational such that [tex]b \neq 0[/tex] , then [tex]a \cdot b[/tex] is irrational.

A way to represent this is:

[tex]a\in\mathbb{R}\setminus\mathbb{Q}, b\in\mathbb{Q},ab\in\mathbb{Q}\implies a\in\mathbb{Q}\implies\text{Contradiction}\therefore ab\not\in\mathbb{Q}.[/tex]

Note that we have a contradiction, because [tex]a[/tex] is not a rational number, as I stated in the beginning. Therefore, ab is irrational.

Answer: A

Step-by-step explanation:

Multiplying an irrational number by a rational number will always be an irrational number because irrational numbers do not repeat and terminate.

So for example multiplying pi by a rational like two you will have an irrational number because pi is an irrational number.

[tex]\pi * 2[/tex] = 6.28318530718  as you could see that is an irrational number because there is no repetition or termination.

We know that [tex]A=hl[/tex]. Given [tex]A[/tex] and [tex]h[/tex] we can find [tex]l[/tex].

How? Well here is a procedure.

[tex]

A=hl \\

\frac{A}{h} = \frac{hl}{h} \\

\frac{A}{h} = l \\

l=\frac{200}{25}=\boxed{8\mathrm{in}}

[/tex]

Hope this helps.

Answer:

The slope of line passes (x1, y1) and (x2, y2) could be calculated by:

    slope = (y2 - y1)/(x2 - x1)

=>A line passes (5, 1) and (2, -2) has the slope:

    slope = (-2 - 1)/(2 - 5) = (-3)/(-3) = 1

Hope this helps!

:)

The angle at which the pizza slices were cut would be 39.75°. The round-off to the nearest whole number would be 40°.

To find out the angle at which the pizza slices were cut, we need to first find out the angle of each slice of the pizza.

As per the question,

The total area of the pizza= 34 square inch

The total angle of the pizza= 360 degrees

We already know the area of a pizza= [tex]\pi r^2[/tex]

[tex]\pi[/tex]= 3.14

The diameter of the pizza, given= 14 inch

Therefore, the radius of the pizza= 7 inch

Area of the pizza= [tex]3.14*7^2[/tex]

=153.94

Now, the angle of the slice can be determined by:

The angle of the slices= (Area of each slice/Area of the pizza)* Total angle

The angle of the slices= (34/153.94)*360

=79.51

Since you ate 2 slices,

the angle of one slice = 79.51/2

=39.75 or the round-off would be 40.

Therefore, the angle at which the pizza slices were cut is 40°.

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Answer:

F. and D.

Step-by-step explanation:

square root of 81 is 9 because 9 is a number which produces a specified quantity when multiplied by itself.

Answer:

B

Step-by-step explanation:

Subtitution method:

y=6x-4 (1)

y=7x-7 (2)

subtitute 7x-7 into (1) because both y1 and y2 are same

7x-7=6x-4

7x-6x=-4+7

x=3

subtitute x=3 into any equation

eg: y=6x-4 y=7x-7

=6(3)-4 or =7(3)-7

=14 =14

Therefore, The answer is (3,14)

Answer:A

Step-by-step explanation: It is a because you should trust me

Answer:

A

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = (n - 2) 180° ← n is the number of sides → A

The sum of the interior angles of a polygon with n sides is (n - 2) 180°.

The sum of all interior angles of an ordinary polygon is calculated via the method S=(n-2) × 180°, where 'n' is the number of sides of a polygon.

A polygon is a closed-dimensional form this is formed by means of enclosing line segments. not less than 3 line segments are required to make a polygon.

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Answer:

[tex]k = 3[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 0.5x[/tex]

[tex]g(x) = 0.5x - k[/tex]

Required

[tex]Find\ k[/tex]

Initial expression of f(x) is [tex]f(x) = 0.5x[/tex]

From the question; we understand that f(x) was shifted down by 3 units;

This implies that

[tex]New\ f(x) = 0.5x - 3[/tex]

Also from the question; we understand that this new f(x) is equivalent to g(x);

In other words;

[tex]New\ f(x) = g(x)[/tex]

Substitute[tex]New\ f(x) = 0.5x - 3[/tex] and [tex]g(x) = 0.5x - k[/tex]

This gives

[tex]0.5x - 3 = 0.5x - k[/tex]

Subtract 0.5x to both sides

[tex]0.5x - 3 - 0.5x = 0.5x - k - 0.5x[/tex]

Rearrange

[tex]0.5x - 0.5x - 3 = 0.5x - 0.5x- k[/tex]

[tex]-3 = -k[/tex]

Multiply both sides by -1

[tex]-3 * -1 = -k *-1[/tex]

[tex]3 = k[/tex]

[tex]k = 3[/tex]

So the smallest value in the set is 9.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

C.440.24

Step-by-step explanation:

To get the new balance first multiply the extra balance

[tex]\frac{2.5}{100}*429.50[/tex]

[tex]\frac{1073.75}{100}[/tex]

[tex]10.7375[/tex]

so add the new balance to 429.50

429.50+10.7375=440.2375=440.24

Answer:

C. $440.24

Step-by-step explanation:

Multiply 0.025 (the decimal form of 2.5%) to 429.50:

429.50 · 0.025 = 10.7375

Then add the sum to the original balance:

429.50 + 10.7375 = 440.2375

Round to nearest hundredth:

440.24

Answer:

x=9

Step-by-step explanation:

2x+3(6)=36

2x+18=36

2x=18

x=9

Answer:

x=9

Step-by-step explanation:

if y=6 its now 2x + 18 =36. Subtract 18 from both sides. 2x = 18. 2(9) = 18. Therefore x=9

Answer:

1.8

Step-by-step explanation:

Answer:

It is A again.

Step-by-step explanation:

Equation given:

[tex]F=kx-kx_{0}[/tex]

We have to isolate [tex]x[/tex]

[tex]F+kx_{0}=kx[/tex]

Divide both sides by [tex]k[/tex]

[tex]$\frac{F+k_{0}}{k}=x$[/tex]

Answer:

A

Step-by-step explanation:

y-int. = 2

Slope m= rise/run = 1/2

The line has an equation y = (1/2)x +2

Shading is under the line, so y≤(1/2)x +2. Answer is A.

Answer:

Im confused on how its wrote down

Step-by-step explanation:

Answer:

The correct option is B. 3√2(cos(135°) + i·sin(135°))

Step-by-step explanation:

The complex number is given as : 3 - 3i

Now, comparing this with the standard for : a + bi

⇒ a = 3 and b = -3

Now, r = √a² + b²

⇒ r = √18

⇒ r = 3√2

Now, The polar form is represented by :

z = r(cosθ + i·sinθ)

⇒ z = 3√2(cos 135° + i·sin 135°)

Therefore, the correct option is B. 3√2(cos(135°) + i·sin(135°))

Step-by-step explanation:

Answer:

1/2(3)-2/3(8)

3/2-9/3

3-9

2.3

9-32

6

-23

6

Answer:

(8, -1)

Step-by-step explanation:

To use elimination, we can add the two equations together to eliminate the y:

x-y = 9

x+y = 7

x + x -y + y = 16

2x = 16

x = 8

Plug that back into the original equation to get:

8-y = 9

y = -1

So the ordered pair is (8, -1)

Answer:

h = 39.8 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

We know the diameter d = 32 so the radius is 1/2 of the diameter

r = d/2=32/2 = 16

32000 = pi (16)^2 h

32000 = 256 ( pi) h

Divide each side by 256 pi

32000 / 256 pi = h

125/pi = h

Using 3.14 for pi

39.8089172 = h

Rounding to the nearest tenth

h = 39.8 inches