A parabola and its focus are shown on the graph. The vertex of the parabola is at (0,0).

On a coordinate plane, a parabola opens to the right. It has a vertex at (0, 0) and a focus (3, 0).

What is the equation of the directrix of the parabola?

y = 3
y = –3
x = 3
x = –3

Answer:

Step-by-step explanation:

take 48 degree as reference angle

using tan rule

tan 48=opposite/adjacent

1.11=missing side/58

1.11*58=missing side

64.38=missing side

Answer:

d

Step-by-step explanation:

one side is shorter than the other so it cant be any other option

Answer:

b=4

Step-by-step explanation:

4 Also can someone tell me how to do this? step by step?

Answer:

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Step-by-step explanation:

the answer is in the picture

Answers:

1.) 9

2.) 6

3.) 2

Answer:

7 x 9 = 9 x 7

5 x 8 = 5 x 4 x 2

4 x 6 = 3 x 2 x 4

Step-by-step explanation:

Equation 1:

Commutative property, just reversing the order of the factors.

Equation 2:

Since 5 s given we multiply 4 x 2 to get 8

5 x 8

Equation 3:

3 and 4 are given. Since 6 is a product of 3 and 2, 2 is the missing number.

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

78

Step-by-step explanation:

50 - 24 = 26

26 x 3 = 78

Hope it helps...

x = time goal

16% = .16

.16 x = 32

x = 32/.16 = ___________ minutes

Jesse' weekly reading time is an illustration of ratio and proportion.

Jesse' weekly reading time is 200 minutes

Represent the reading time with x.

16% of his weekly reading time is given as 32 minutes

This is represented using the following equation

[tex]16 \% \times x = 32[/tex]

Express 16% as decimal

[tex]0.16\times x = 32[/tex]

Divide both sides by 0.16

[tex]x = 32/0.16[/tex]

[tex]x = 200[/tex]

Hence, Jesse' weekly reading time is 200 minutes

Read more about proportions at:

https://brainly.com/question/1781657

Answer:

A

Step-by-step explanation:

Because it’s the only sequence that have a common difference

The correct sequence which is an arithmetic sequence is,

⇒  6, 13, 20, 27, 34

Hence, Option A is true.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

We have to given that,

To find an arithmetic sequence.

For option A;

A. 6, 13, 20, 27, 34

Common difference is,

13 - 6 = 7

20 - 13 = 7

27 - 20 = 7

Thus, The correct sequence which is an arithmetic sequence is,

⇒  6, 13, 20, 27, 34

Hence, Option A is true.

Learn more about the Arithmetic sequence visit:

https://brainly.com/question/6561461

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Answer:

2nd line

Step-by-step explanation:

Answer:

12+12+4+6+26=50

12/50=6/25=0.24=24%

Answer:

1/5.

Step-by-step explanation:

First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.

Answer:

9g2 - 42g + 49 AC = 9 × 49 = 441 factors = -21, -21

9g2 - 21g - 21g + 49

3g (3g - 7) - 7(3g - 7)

(3g - 7) (3g - 7)

g2 + 2g - 24 AC = 1 × 24 = 24 factors = 6, -4

g2 + 6g - 4g - 24

g (g + 6) - 4(g + 6)

(g + 6) (g - 4)

Answer:

y = 3

Step-by-step explanation:

All this question is asking is:

When x = 1, what does y equal?

To solve this problem, plug in 1 for x to get

[tex]y = \frac{1}{2} *6^1[/tex]

Then, simplify!

Any number to the first power is the same number, so [tex]6^1 = 6[/tex].

[tex]\frac{1}{2} * 6 = \frac{6}{2} = 3[/tex]

y = 3.

Hope this helps!

Answer:

B) 3^-5 (1 / 243) and D) 2^5 x 6^-5 (1 / 243)

Step-by-step explanation:

3 to the negative 5th power as a fraction is

1 / 243.

2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.

Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).

Answer:

A.  7n+6

B Three times the quantity of a number plus eight

Step-by-step explanation:

A   more than means it comes after

7 times a number

7n

6 more than

7n+6

B 3( n+8)

Three times the quantity of a number plus eight

Answer:

2.0936 * [tex]10^{2}[/tex]

Hope that this helps!

Answer:

15m+80 would be the correct equation

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!

Answer:

16.6

Step-by-step explanation:

Intensity = Voltage ÷ Electerical Resistance

Intensity = 120÷ 150

Intensity = 12/15

Intensity = 4×3/5×3

Intensity = 4/5

Intensity = 0.8 Amp

Answer:

n=2

1/2n-2-3=3-2n-3

1/2n+2n=3+2+3-3

2/1/2n=5

5/2n=5

n=5 multiply 2/5

n=2

Answer:

I. Hijo, h = 10 años

II. Padre, P = 40 años

Step-by-step explanation:

Traduciendo el problema verbal a una expresión algebraica, tenemos;

P = 4h .....ecuación 1.

P + 5 = 3(h + 5) ........ecuación 2.

Simplificando aún más, tenemos;

P + 5 = 3h + 15

P = 3h + 15 - 5

F = 3h + 10 ......ecuación 3.

Sustituyendo la ecuación 1 en la ecuación 3;

4h = 3h + 10

4h - 3h = 10

h = 10 años

A continuación, encontraríamos la edad del padre;

P = 4h

P = 4 * 10

P = 40 años

Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]

[tex]or \: m1 = \frac{5}{6} [/tex]

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

[tex]y + 2 = \frac{5}{6} x - 10[/tex]

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!

A ' (4,0)

B ' (6,3)

C ' (3,4)

================================================

Explanation:

I'm assuming the center of dilation is the origin.

If so, then we multiply the scale factor 1/4 = 0.25 by each of the coordinates of the three points.

Point A(16,0) will move to A ' (4,0) since

Point B(24,12) will move to B ' (6,3) since

We have enough information to see that choice B is the final answer

If you wanted to keep going, then point C(12,16) will move to C ' (3,4) for similar reasoning/steps as the previous two points.

The resulting image triangle A'B'C' will have its side lengths 1/4 of that compared to the side lengths of the preimage triangle ABC.

The scale factor k is such that 0 < k < 1, which indicates the image will be smaller compared to the preimage. If k > 1, then the image would have been larger than the preimage.

Answer:

1st answer

Step-by-step explanation:

Answer:

1. 60°

2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.

180 ÷ 3 = 60°

Answer:

all real values

Step-by-step explanation:

there is no value for x, where the operations in f(x) would run into an undefined or outright invalid situation. whatever x we can think of, f(x) will calculate a valid y.

Answer:

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

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

Answer:

y = 38

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Consider the angles in the large outer triangle, then

x + 46 + 78 = 180

x + 124 = 180 ( subtract 124 from both sides )

x = 56

Consider the 3 angles in the smaller inner triangle, then

y + x + 86 = 180 , that is

y + 56 + 86 = 180

y + 142 = 180 ( subtract 142 from both sides )

y = 38