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3 years ago

Draw a shape using a rectangle and a triangle

Mathematics

1 answer:

Elenna [48]3 years ago

6 0

Put the rectangle under the triangle to make a pentagon.

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A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola

Orlov [11]

Answer:

The equation of the Parabola

(y - 6 )² = 8 (x -6)

Step-by-step explanation:

Step(i):-

Given directrix x = 4

we know that x = h - a = 4

h -a = 4 ...(i)

Given Focus = ( 8,6)

we know that the Focus of the Parabola

( h + a , k ) = ( 8,6)

comparing h + a = 8 ...(ii)

k = 6

solving (i) and (ii) and adding

h - a + h+ a = 8 +4

2 h = 12

h =6

Put h = 6 in equation (i)

⇒ h - a =4

⇒ 6 - 4 = a

⇒ a = 2

Step(ii):-

The equation of the Parabola ( h,k) = (6 , 6)

( y - k )² = 4 a ( x - h )

(y - 6 )² = 4 (2) (x -6)

(y - 6 )² = 8 (x -6)

3 0

2 years ago

What number should be added to both sides of the equation to complete the square?

baherus [9]

-4 is what you put on both sides Bc it’s half of b

4 0

2 years ago

Which figure is the image produced by applying the composition T 0,3 o R0,90 to figure R?

Lyrx [107]

We are given original image R.

It is being translated by (0,3) first and then rotated by a positive angle 90 degrees.

Translation by (0,3) represents (x,y) --> (x, y+3) rule.

Positive 90 degree rotation represents, counterclockwise rotation.

The rule for counterclockwise rotation is (x,y) --> (-y,x).

Therefore, final rule for would be

(x,y) --> ( -y,x+3 )

Let us take a coordinate of R on y-axis as (0,-4).

Now if we apply rule (x,y) --> ( -y,x+3 ) we get

(0,-4) --> (-(-4), 0+3) = (4,3).

Let us check the figure with coordinate (4,3).

We can clearly see that Figure H has transformed coordinate (4,3).

<h3>Therefore, correct option is first option A. figure H.</h3>

8 0

3 years ago

Line N passes through the points (–1, 4) and (–1, –4).Which is true of line N? Line N is a vertical line with an undefined slope

Marrrta [24]

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

When the points that line N passes through are graphed, they form a vertical line.

All vertical lines have an undefined slope.

We can also check if it's undefined by finding the slope.

$m=\frac{-4-4}{-1+1}=\frac{-8}{0}$

The quotient would be undefined. You cannot divide by zero.

Hope this helps.

7 0

3 years ago

The base edge of an oblique square pyramid is represented as x cm. If the height is 9cm, what is the volume of the pyramid in te

Tom [10]

A is correct:

Let volume v, length l, and h height.

v= (l²h)/3

v=(x²9)/3

v=3x²

5 0

3 years ago

Read 2 more answers