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2 years ago

Six years less than Tracy's age write it as a algebratic expression

Mathematics

2 answers:

Lostsunrise [7]2 years ago

5 0

T = Tracy's age.

We will use the letter T, because we have no clue what Tracy's age is. And most algebraic expressions have letters related to the problem. We know that Tracy is older than 6 so we have to do T - 6 we know this is subtraction due to the word "less than" so you algebraic expression/answer is T - 6. I hope my answer was a pretty understanding and that you get it now! :D

~ A friendly helper!

docker41 [41]2 years ago

3 0

the answer would for the equation would beT-6 or 6-T

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The scale drawing of a rectangular room measures 10cm long by 6cm wide. The actual width of the room is 9 metres. What is the ac

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Answer:

48 meters

Step-by-step explanation:

The first thing is to calculate the scale, since we know both widths it is possible:

we pass the 9 meters to centimeters = 900 cm

900/6 = 150

So the scale would be 1: 150

Which means that the length is 150 times bigger.

10 * 150 = 1500cm or what equals 15m

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Ruben is buying bricks for a project. He knows that 5 bricks weigh 26 1/4 lb. He wants to know the weight of 24 bricks. What is

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Answer:

5.25 and for the second part 126

Step-by-step explanation:

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2 years ago

Read 2 more answers

Write the equation for:

xenn [34]

Answer:

$\frac{1}{2} x +x = 2 (x-4)$

Step-by-step explanation:

Suppose number is x

Following equation can be written from question statement

$\frac{1}{2} x +x = 2 (x-4)$

Simplifying it further

$\frac{3}{2} x = 2x-8$

$\frac{3}{2} x -2x=-8$

$\frac{3x-4x}{2}= -8$

$-x= -16\\x=16$

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2 years ago

A 14 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building. How far up the building do

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Sin 45 = X / 14
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2 years ago

Numbers that add to -0.5 and multiply to 1

Oliga [24]

Short Answer
There are two numbers
x1 = -0.25 + 0.9682i <<<< answer 1
x2 = - 0.25 - 0.9582i <<<< answer 2

I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5
y = - 0.5 - x (1)
xy = 1 (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1 Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0 Order these by powers
-x^2 - 0.5x -1 = 0 Multiply though by - 1
x^2 + 0.5x + 1 = 0 Use the quadratic formula to solve this.

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}$

a = 1
b = 0.5
c = 1

$\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}$

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out. Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1

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