Find the vertex, focus, directrix, and focal width of the parabola.
x = 4y2

Answer:

NANI!?5

Step-by-step explanation:

Answer:

C. (9, 13)

Step-by-step explanation:

y = mx + b

y = (1/2)x + b

(-7, 5)

5 = (1/2)*(-7) + b

5 = - 7/2 + b

b = 5+ 7/2 = 10/2 + 7/2 = 17/2

y = (1/2)x + 17/2

C. (9, 13)

13 = (1/2)*9 + 17/2

13 = 26/2

13=13  True

Answer:

It is C (9,13)

Step-by-step explanation:

took the test on edge

Answer:

(-1,-4)

Step-by-step explanation:

The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.

The system's solution should be (-1,-4).

Answer:

Step-by-step explanation:

The equation of lines shows the two points

and it cross in the coordinates(-1,-4)

so

solution is( -1,-4)

Answer:

C. 4

Step-by-step explanation:

arc length = radius*θ ,

where θ is an angle in radians.

12 = 3*θ

θ = 12/3 = 4

Answer: 0

Step-by-step explanation:

Using the Trigonometric values table or unit circle, calculate the expression.

Answer:

The answer is D.) 0

Step-by-step explanation:

JUST THE QUEST

Answer:

it states:  a squared + b squared = c squared ( the hypotenuse)

Step-by-step explanation:

Answer:

7/30 purple  and 5/30 red or 1/6 red

Step-by-step explanation:

if u have a total of 30  marbles and 7 are puple the odds are 7/30 and if u put it back and take out another one the odds of getting a red are 5 out of 30 because there are still 30 and 5 out of the 30 are red  but 5/30 = 1/6

Answer:

B, C, and D

Step-by-step explanation:

of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.

The graph of the quadratic parent function is:

A. It is a parabola.

B. It is in quadrants I and II.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

To check the characteristics of the quadratic parent function,

let us take the basic quadratic function : y = x²

Below is a graph for this parent quadratic function:

Currently, as shown on the graph below:

Basic parabola, that is. Moreover, the quadratic function's graphs typically have the shape of a parabola.

The graph is located in quadrants I and II.

So. These can only be the features of the quadratic parent function's graph.

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Answer:

[tex] \frac{15}{13} [/tex]

Step-by-step explanation:

gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of line

[tex] = \frac{14 - ( - 1)}{13 - 0} \\ = \frac{14 + 1}{13} \\ = \frac{15}{13} [/tex]

Step-by-step explanation:

-5 +11y -3 = 25

11y = 25 + 5 + 3

11y = 33

y = 33/11

y = 3

Answer:

The correct option is D

D) -0.828

Step-by-step explanation:

First find the mean of both x data set and y data set

x(mean) = 39/5 = 8

y(mean) = 53/5 = 11

(find the values given in table attached below. The formation of table is step 2)

Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula

r = ∑XY/(√∑X². ∑Y2²

∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2

r = -119.4/(√50.8 x 409.2)

Simplify above expression

r = -119.4/√20787.36

r = -119.4/144.1782

r = -0.8281

Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}

The fair price for the house is $205.88.

The correct answer is option A.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the fair price for the house, we can use the equation of the line of best fit provided:

y = 0.074x + 50.48

where y represents the price of the house and x represents the square footage of the house.

We can substitute 2100 for x to find the price of the house.

y = 0.074(2100) + 50.48

y = 155.4 + 50.48

y = 205.88

Therefore,

The fair price for the house is $205.88.

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Answer:

1.785 cm / min

Step-by-step explanation:

We have to the following equation:

V = A * L

The volume is equal to the area times the length, now, if we derive with respect to time we have:

dV / dt = dA / dt * L

Now, the area of a trapezoid is:

A = (Upper base + Lower base) / 2 * height

Now we have:

Upper base = 40 + h

Lower base = 40

Replacing we have:

A = (40 + h + 40) / 2 * h

A = (h ^ 2) / 2 + 40 * h

Now, we derive and we are left:

dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt

dA / dt = (h + 40) * dh / dt

we replace dA / dt:

dV / dt = [(h + 40) * dh / dt] * L

We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:

dV / dt = 10 ^ 5 cm ^ 3 / min

in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm

we replace everything and we have:

10 ^ 5 = 800 * (30 +40) * dh / dt

dh / dt = 10 ^ 5/56000

dh / dt = 1.785 cm / min

Answer:

Ax+By=C

Step-by-step explanation:

Answer:

an equation

Step-by-step explanation:

just did it

Answer:

The points that verify the system of inequalities are:

point E, pointF, and point G.

Step-by-step explanation:

Please see the attached image that illustrates the boundary lines in your system of inequalities.

The boundary line for the inequality [tex]2x+y<10[/tex] is depicted in green, while the boundary line for the inequality [tex]2x-4y>8[/tex] is depicted in red.

By solving for y in each inequality, we understand which half-plane should be considered for the inequality:

First inequality (green boundary line) :

[tex]2x+y<10\\y=10-2x[/tex]

This means that we are to consider the points below the green boundary line.

Second inequality (red boundary line) :

[tex]2x-4y >8\\2x-8>4y\\y<\frac{1}{2} x-2[/tex]

This means we have to consider the points below the red boundary line.

Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.

From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.

On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.

Answer:

Angle 2 = 40 degrees              Angle 11 = 60 degrees

Step-by-step explanation:

Start by using angle 1 to find angle 2

angle 1 is 140 + 2 is unknown = 180 degrees

140 + x = 180

-140        -140

x = 40

Angle 2 is 40 degrees

Now add together angles 2 and 9 to find the measure of angle 11

40 + 80 + x = 180

120 + x = 180

-120        -120

x = 60

Angle 11 is 60 degrees

Answer:

Angle #2 = 40 degrees              Angle #11 = 60 degrees

Step-by-step explanation:

.

Answer:

To convert the given equation of the circle to standard form we should do as follows.

[tex]x^{2} +y^{2}+4x-6y-36+36=36\\ x^{2} +y^{2}+4x-6y=36[/tex]

[tex]x^{2} +4x +y^{2}-6y=36[/tex]

[tex]x^{2} +4x + (\frac{4}{2} )^{2} +y^{2} -6y+(\frac{6}{2} )^{2} =36[/tex]

[tex]x^{2} +4x+4+y^{2} -6y+9=36+4+9\\[/tex]

[tex](x+2)^{2} +(y-3)^{2} =49[/tex]

As you can observe, the circle has center at (-2,3) and it has a radius of 7 units.

Notice that the second choice is correct, because we added 4 units to both sides to complete the square for the x terms.

Answer:

2(x + 11) > -2

_________________________________________________________

I feel like we are missing information here, can you comment it down below.

Answer

13

Step-by-step explanation:

Answer:  C

Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.

Answer:

The pre-image

Step-by-step explanation:

Hope this helps ya!

Answer: x > 1

Step-by-step explanation:

[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]

Answer: x = 67.5°

Step-by-step explanation:

Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.

So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°

Answer:

the answer is 32

Step-by-step explanation: divide the product by the number that is being mutiplied

Answer: -10

Step-by-step explanation:

-4 - 6 = -10

Answer: angles 1 and 7

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

DBA = 180 - 90 - 30

DBA = 60

The measure of the angle ∠DBA will be 60°. Then the correct option is C.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The diagram is given below.

BD is the diameter of circle O. If m∠ACB = 30°.

We know that the central angle is double the angle at the periphery that was subtended by the same chords.

∠AOB = 2∠ACB

∠AOB = 2 x 30

∠AOB = 60°

We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.

Thus, the measure of the angle ∠DBA will be 60°.

Then the correct option is C.

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Answer:

D) 8 movies and 1 video game

Step-by-step explanation:

We are given that Lane has a gift card worth $300 for a local entertainment store.

Cost of 1 movie = $20

Cost of 1 video game = $50

In order to use the gift card, Lane must purchase at  least seven items

A) 01 movie and 6 video games

Cost of 1 movie = $20

Cost of 6 video game = [tex]50 \times 6 = 300[/tex]

Total cost = 300+20 = 320

Since Lane has a gift card worth $300 , So Lane could not purchase 01 movie and 6 video games using his gift card

B) 2 movies and 4 video games

We are given that she must purchase at  least seven items

So, She could not buy 2 movies and 4 video games

C)6 movies and 5 video games

Cost of 6 movie = [tex]20 \times 6 =120[/tex]

Cost of 5 video game = [tex]50 \times 5= 250[/tex]

Total cost = 250+120=370

Since Lane has a gift card worth $300 , So Lane could not purchase 06 movie and 5 video games using his gift card

D) 8 movies and 1 video game

Cost of 8 movie = [tex]20 \times 8 =160[/tex]

Cost of 1 video game = 50

Total cost = 160+50=210

So, she could purchase 8 movies and 1 video game

Answer:

15.71

Step-by-step explanation:

To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5

Put in circumference formula C=2πr

c=2 x 3.14 x 2.5

c= 2 x 7.85

c=15.7

Put the value into the circle circumference formula C=2πr