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3 years ago

A parabola can be drawn given a focus of (1,3) and a directrix of x = -7. What

Mathematics

1 answer:

irakobra [83]3 years ago

8 0

Answer:

Below.

Step-by-step explanation:

The parabola will open to the right and will be symmetrical about y = 3.

The vertex is halfway between x = 1 and x = -7 making it at (-3, 3).

The p value is the distance between the vertex and the focus - here it is 1 - -3

= 4.

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Which operation will "undo" multiplication? division multiplication subtraction addition

Goshia [24]

Answer:

The division operation!

Step-by-step explanation:

when you multiple two variables, the one way to undo then is division.

Hope this helps! :)

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3 years ago

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The vertex of a parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared term i

denis23 [38]

Answer:

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Step-by-step explanation:

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3 years ago

Tara baked 6 1/2 dozen cookies. She sold 3 2/6 dozen of the cookie she made. How many dozens of cookies does Tara have remaining

Bess [88]

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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.

Elena L [17]

Given:

PQRS is a circle, PQT and SRT are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

$m\angle SPQ+m\angle QRS=180^\circ$

$81^\circ+m\angle QRS=180^\circ$

$m\angle QRS=180^\circ-81^\circ$

$m\angle QRS=99^\circ$

Now, SRT is a straight line.

$m\angle QRT+m\angle QRS=180^\circ$ (Linear pair)

$m\angle QRT+99^\circ=180^\circ$

$m\angle QRT=180^\circ-99^\circ$

$m\angle QRT=81^\circ$ ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

$m\angle PQR=m\angle QRT+m\angle QTR$

$x=81^\circ+22^\circ$

$x=103^\circ$

Therefore, the value of x is 103 degrees.

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3 years ago

A airplane travels a speed of 300 miles per hour how far in miles will the air plane travel in 20 minutes decmal or fraction ans

Ierofanga [76]

Answer: $15$ or $\frac{15}{1}$

Step-by-step explanation:

We need to divide 300 by 20.

We get $15$ or $\frac{15}{1}$ .

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