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3 years ago

What fraction is equal to 1/4

Mathematics

2 answers:

Margaret [11]3 years ago

4 0

It is 2/8 i believe :)

Studentka2010 [4]3 years ago

3 0

6/24 would be equal to 1/4

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Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

Does 514, 684, 855 make a right triangle

Naily [24]

Answer:

No, it does not.

Step-by-step explanation:

This does not make a right triangle because in order to have a right triangle you must have 2 of the same numbers.

<em><u>For example:</u></em>

900, 800, 900 makes a right triangle

900, 800, 700 does not.

Hope this helped :D

5 0

2 years ago

How do i do this? i really need help and thanks!!

marshall27 [118]

Answer:

Yes

Step-by-step explanation:

you can plug any number from the graph on the line and it's still going to equal something, i'm sorry this is really bad explaing but when it's a straight line you can plug anything in and still get an answer

4 0

3 years ago

Find the triangle sum theorem

GenaCL600 [577]

Answer:

x=37

Step-by-step explanation:

a triangle is equal to 180°. so if you already have 50+56 then you have 74° left for 2x. and 74/2=37

6 0

2 years ago

Read 2 more answers

Which graph represents the function of f(x) = the quantity of 9 x squared minus 36, all over 3 x plus 6?

love history [14]

F ( x ) = ( 3 x + 6 ) ( 3 x - 6 ) / ( 3 x + 6 ) = 3 x - 6
and for domain : 3 x + 6 ≠ 0
3 x ≠ - 6
x ≠ - 2
anwser graph of 3 x - 6, with discontinuity at - 2

6 0

3 years ago