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qwelly [4]
4 years ago
11

Find the area of a trapezoid with bases 14 cm and 18 cm and height 10 cm.

Mathematics
1 answer:
4vir4ik [10]4 years ago
8 0
You should add the two bases and muliply them with the height and then divide with 2
(14+18)×10÷2=160
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What is answer for 10+(3+4-6+8) by using order of operation
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Answer:

The value of given expression is 19.

Step-by-step explanation:

The given expression is

10+(3+4-6+8)

According to the rule of BODMAS the order of operations is Bracket, Of, Division, Multiplication, Addition and Subtraction.

First we have to simplify the value of bracket.

10+(3+4-6+8)=10+(15-6)

10+(3+4-6+8)=10+9

10+(3+4-6+8)=19

Therefore the value of given expression is 19.

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2 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
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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


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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
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