Which of the following best describes the directrix of a parabola?

Answer:

D) 112°

Step-by-step explanation:

Reflection is a type of transformation that require the turning of a point or an object about a reference point line.

In the given question, when the point is first reflected about l, it rotates at an angle of  56°. Then reflecting it about m give a total rotation of 112° by the point. Thus, the point (-4, 1) is rotated twice the angle between lines l and m.

Answer:

27/25 simplified is 1 2/25 none of your answers work

Step-by-step explanation:

Answer:

27/25

Step-by-step explanation:

27/25

Simplify the fraction if possible.

= 27/25

The improper fraction cannot be simplified further.

Answer:

23

Step-by-step explanation:

[tex] \because \: f(x) = \bigg [ \frac{x}{1.50} \bigg] \\ \\ \therefore \: f(35) = \bigg [ \frac{35}{1.50} \bigg] \\ \\ \therefore \: f(35) =23.33 \\ \\ \therefore \: f(35) \approx 23 \\ [/tex]

Hence, 23 songs can be purchased with a $35 gift card.

Answer:

f(x) =  (y-intercept is 3)  ,(decreasing function),(average rate of change on (0,1) is -2)

g(x) = (y-intercept is 3), (increasing function) (average rate of change on (0,1) is 1)

Step-by-step explanation:

Answer:

b^ (m-n)

Step-by-step explanation:

When the bases are the same, when dividing, we subtract the exponents

b^m/b^n

b^ (m-n)

Answer:

solution,

A(-2,-4)--->(X1,y1)

B(-8,4)----->(x2,y2)

now,

[tex]ab = \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4)) ^{2} } \\ \: \: \: = \sqrt{( - 8 + 2) ^{2} + {(4 + 4)}^{2} } \\ \: \: \: = \sqrt{( - 6) ^{2} + {(8)}^{2} } \\ \: \: = \sqrt{36 + 64} \\ \: \: \: = \sqrt{100} \\ \: \: \: = \sqrt{ {(10)}^{2} } \\ \: \: \: \: = 10 \: units[/tex]

Hope this helps..

Good luck on your assignment

Answer:

Step-by-step explanation:

c

Answer: 3/4

Step-by-step explanation:

Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis

Solving for M1 in terms of Fg, G, M2 and r yields;

To solve for M1 in terms of F, G, M2 and r;

We are required to make M1 the subject of the formula as follows;

By cross product;

Afterwards; by dividing through by G M2; we have;

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Answer:

At a distance of 4 tick marks above

Step-by-step explanation:

Answer:

s = t - m

Step-by-step explanation:

Assuming s equals the amount of time it would take Sam, subtracting the amount of time it takes Mark from the time it takes them together would give you the time Sam would take since with Sam's help, the time would equal t hours. Then without Mark's help is how long it would take him.

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

Answer:

61464

Step-by-step explanation:

61464 ~ 61460 to the nearest ten

61464 ÷ 4 = 15366

61464 is an even number

The number is 61464

A number system is defined as a system of writing to express numbers.

When a number is rounded  to the nearest ten, the number is 61 460.

61464 ~ 61460 to the nearest ten

When the number is divisible by 4

61464 ÷ 4 = 15366

The digit sum is even

61464 is an even number

Hence, the number is 61464

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Answer:

n = [tex]\frac{5}{3}[/tex] (C - 2.5)

Step-by-step explanation:

Given

C = [tex]\frac{3}{5}[/tex] n + 2.5 ( subtract 2.5 from both sides )

C - 2.5 = [tex]\frac{3}{5}[/tex] n

Multiply both sides by [tex]\frac{5}{3}[/tex] to clear the fraction

[tex]\frac{5}{3}[/tex] (C - 2.5) = n

Answer:

n = 5/3(C - 2.5)

Step-by-step explanation:

C = 3/5n + 2.5

Subtract 2.5 on both sides.

C - 2.5 = 3/5n

Multiply 5/3 on both sides.

5/3(C - 2.5) = n

Answer:

6√5/25 = 6√5/(√5)^4 = 6/(√5)^3 (invalid)

30/√5 = 6*(√5)^2/(√5) = 6√5 (invalid)

36/√30 =  6*(√6)^2/(√5*√6) = 6√6/√5 (invalid)

6√5/5 = 6√5/(√5)^2 = 6/√5 (valid)

Answer:

[tex]$\frac{6\sqrt{5} }{5} $[/tex]

Step-by-step explanation:

Which expression is equal to [tex]$\frac{6}{\sqrt{5} } $[/tex]?

Rationalizing denominator:

[tex]$\frac{6}{\sqrt{5} }\cdot \frac{\sqrt{5} }{\sqrt{5} }=\frac{6\sqrt{5} }{5} $[/tex]

Answer:

(x - 3)(x + 3)(x² + 9)

Step-by-step explanation:

Step 1: Difference of Squares

(x² - 9)(x² + 9)

Step 2: Difference of Squares within Difference of Squares

(x - 3)(x + 3)(x² + 9)

*You can't factor x² + 9 because it has no real roots. You can factor it to have complex roots (imaginary number i).

Answer:

(x+3)(x+3)(x²-9)

Answer:

40 ≤ y ≤ 100

Step-by-step explanation:

Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30

Step-by-step explanation:

Answer:

16 squares

Step-by-step explanation:

Answer: B

Step-by-step explanation: it could not be A bc A is 3.4 and 34.8 and its not correct

Answer:

It's Rational. Hopes this helps you!

Step-by-step explanation:

Answer:

[tex](\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]

Step-by-step explanation:

[tex](3ab^{3} c^{-1} )^{3} =(\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]

Answer:

A. 1

Step-by-step explanation:

2/3 ÷ (-4) - (1/6-8/6)

Solve for brackets.

2/3 ÷ (-4) - (-7/6)

2/3 ÷ (-4) + 7/6

-2/12 + 7/6

Make denominators equal.

-2/12 + 14/12

12/12

= 1

Answer:

3/663 or 1/221 chance

Step-by-step explanation:

A standard deck of cards contains 52 cards total, 4 suits total. Therefore there are 4 "10"s.

There is a 4/52 (simplified: 1/13) chance to draw a 10 on the first try.

To do it twice there is a 3/51 x 1/13 chance.

Answer:

f(6) =-2

Step-by-step explanation:

f(x) = 1/2 x-5

Let x = 6

f(6) = 1/2 *6-5

     =3 -5

   = -2

Answer:

[tex]-2[/tex]

Step-by-step explanation:

[tex]f(6)=\frac{1}{2}6-5 = -2[/tex]

Answer:

C) 1/8 inch

Step-by-step explanation:

Answer:

y=-1/4x +3

Step-by-step explanation:

x/2 + 2y = 6

Subtract x/2 from both sides

2y=-x/2 +6

Simplify by dividing by 2

y=-1/4x +3

Answer: Option C: 0.03125

Step-by-step explanation:

we have an exponential equation, so we have:

f(x) = A*r^x

we have that:

f(1) = A*r^1 = A*r = 0.5

f(2) = A*r^2 = 0.25

f(3) = A*r^3 = 0.125

f(4) = A*r^4 = 0.0625

f(5) = A*r^5 = ?

we want to find the value f(5)

first, let's take the quotient:

f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.

then we have:

f(x) = A*0.5^x

and f(1) = A*0.5 = 0.5

then A = 0.5/0.5 = 1.

now we know that our function is f(x) = 0.5^x.

then, if we want to find f(5) we have:

f(5) = 0.5^5 = 0.03125

Then the correct option is option c.

Answer:

solution,

[tex]2(x + 1) + 2(x - 2) = 3(x - 3) + 4 \\ or \: 2x + 2 + 2x - 4 = 3x - 9 + 4 \\ or \: 2x + 2x + 2 - 4 = 3x - 5 \\ or \: 4x - 2 = 3x - 5 \\ or \: 4x - 3x = - 5 + 2 \\ x = - 3[/tex]

Hope this helps...

good luck on your assignment.

Answer:

x = - 3

Step-by-step explanation:

2(x + 1) + 2(x - 2) = 3(x-3) + 4​

2x + 2 + 2x - 4 = 3x - 9 + 4

2x + 2x - 3x = - 9 + 4 - 2 + 4

4x - 3x = - 3

x = - 3

Answer:

x = −2.24 and x = 2.24

Step-by-step explanation:

16x^2 − 80 = 0

Add 80 to each side

16x^2 =80

Divide each side by 16

x^2 = 80/16

x^2 =5

Take the square root of each side

x = ± sqrt(5)

x = ±2.236067977

Answer:

x = 2.24  OR   x = -2.24

Step-by-step explanation:

=> [tex]16x^2-80 = 0[/tex]

Adding 80 to both sides

=> [tex]16x^2 = 80[/tex]

Dividing both sides by 16

=> [tex]x^2 = 80/16\\x^2 = 5[/tex]

Taking sqrt on both sides

=> x = ±√5

=> x = ±2.24

So,

Either,

x = 2.24  OR   x = -2.24

Answer:

Multiplication:

1 x (3/4 x4/5)

= 3/5

Answer:

7/5 (improper fraction), or 1 2/5 (mixed number)

Step-by-step explanation:

One and three-fourths written as an improper fraction is 7/4.

Now we multiply 4/5 by 7/4.  The '4' in each fraction cancels out the '4' in the other fraction, so that we are left with (1/5)(7/1), or 7/5 (improper fraction), or 1 2/5 (mixed number)