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disa [49]
3 years ago
11

Which expression is equivalent to 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y)?

Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

<h3>2.0x-8.3y+2.3</h3>

Step-by-step explanation:

Give the expression 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y), to get the equivalent expression we will follow thw steps;

open the parenthesis

3.7 x + 0.5-6y+0.8-1.7x+1-2.3y

collect like terms

= 3.7 x -1.7x -6y-2.3y+0.5+0.8+1

= 2.0x-8.3y+1.3+1

= 2.0x-8.3y+2.3

Hence the equivalent expression is 2.0x-8.3y+2.3

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Step-by-step explanation:

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Step-by-step explanation:

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What number needs to be added to both sides of the equation to complete the square? X^2−7x=5 Enter your answers in the boxes.
Andrew [12]

ANSWER

We need to add half the coefficient of x all square.

\frac{49}{4}


EXPLANATION


Given the equation,

x^{2} -7x=5.

We compare to the general equation,

ax^2+bx+c=0

This means that;

a=1,b=-7,c=-5


To complete the square we add, (\frac{b}{2})^2


That is (\frac{-7}{2})^2=\frac{49}{4}.


Hence the number to be added to both sides is \frac{49}{4}.


Note that before we complete the square, the coefficient of the term inx^2 must always be 1.

7 0
3 years ago
on a blueprint, the height of a door is 0.4cm. the actual height of the door is 2m. What is the scale on the blueprint?
Roman55 [17]

Step-by-step explanation:

2 m corresponds to 0.4 cm on a blueprint.

so,

2 m / 0.4 cm = 200 cm / 0.4 cm

our fun the point of view of the blueprint

0.4 cm / 200 cm

the scale on a map or blueprint is usually normed to one unit on the blueprint :

0.4/200 × f/f = 1/(200×f)

0.4 × f = 1

f = 1/0.4 = 2.5

so, our scale is

(0.4 × 2.5) / (200 × 2.5) = 1 / 500

that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.

4 0
2 years ago
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