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2 years ago

DE =8 CM DE = 4 CM DE = 10 CM DE = 6CM

Mathematics

2 answers:

Svetradugi [14.3K]2 years ago

8 0

Answer:

just add

Step-by-step explanation:

Marianna [84]2 years ago

8 0

Answer:

DE = 6 cm

Step-by-step explanation:

The problem states these triangles are similar. Line BC is half the length of Line AB. So, Line DE should be half the length of Line AD.

Therefore, Line DE = 6 cm

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1 year ago

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3 years ago

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.

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$8=4a$

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

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,

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

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This equation is now in the form,

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

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

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3 years ago