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Temka [501]
2 years ago
11

Which equation is equivalent to the given equation?

Mathematics
1 answer:
madam [21]2 years ago
4 0

Answer:

x² - x - 12 = 0

Step-by-step explanation:

0 = -x² + x + 12

→ Add x² to both sides

x² = x + 12

→ Minus x from both sides

x² - x = 12

→ Minus 12 from both sides

x² - x - 12 = 0

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3 0
2 years ago
Read 2 more answers
Instructions: Rewrite the equation in Slope-Intercept Form. y−2=−2/5(x−5)
Leno4ka [110]

The equation in Slope-Intercept Form is y = -2/5 x + 4.

We have given that,

y−2=−2/5(x−5)

We have to rewrite the equation in Slope-Intercept Form.

<h3>What is the slope-intercept form of the line?</h3>

slope-intercept form is y = mx + b

for equation y - 2 = -2/5 (x - 5) we need to simplify/rearrange

so y - 2 = -2/5 x + -2/5 (-5)

= -2/5 x + 2

=> y = -2/5 x + 4

This line has a gradient of -2/5 (goes down 2 units and across 5 units) and a y-intercept of 4 so passes through the point (0,4).

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4 0
2 years ago
A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship th
SVETLANKA909090 [29]

The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

<h3>How can Andrea's new age be calculated?</h3>

The time dilation using the Lorentz transformation formula is presented as follows;

t' =  \frac{t}{ \sqrt{1 -  \frac{ {v}^{2} }{ {c}^{2} } } }

From the question, we have;

The spaceship's speed, <em>v</em> = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

\delta t' =\delta t \times  \sqrt{1 -  \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8

The time that elapses as measured by Andrea = 8 years

Andrea's age, <em>A</em>, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

Learn more about the Lorentz transformation formula here:

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3 0
1 year ago
PLEASE HELP! While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla cha
zhenek [66]
I don’t have a double number line but she would have to spend 9.5 (9 1/2) hours babysitting to earn enough money to buy the dress
7 0
2 years ago
5x = 1/125<br> What is X
Solnce55 [7]

Answer:

x= 1/25

Step-by-step explanation:

8 0
2 years ago
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