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3 years ago

Choose the equation below that represents the line passing through the point (1, −4) with a slope of one half.

Mathematics

1 answer:

AVprozaik [17]3 years ago

6 0

Answer:

the equation would be y=1/2x-9/2

Step-by-step explanation:

next time try to put the answers like the question did because that's always helpful

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Please need help on this

Ronch [10]

Ray FM has terminal point F, so that will be the first letter of the name. The second letter of the name can be any of the points to the left of F on the line:

... D, L, M, P, K

Appropriate choices are ...

$\overrightarrow{FP}$
$\overrightarrow{FD}$

8 0

3 years ago

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

3 years ago

What is the midpoint of this segment??

Korvikt [17]

Answer:

A) 6,3

Why?

The midpoint, which is somewhat self-explanatory thanks to its name, is a point in the center of a line.

To answer this question properly, you need to analyze the line and assess the situation.

How did it go from x = 2 to x = 10? Let's see, if we count by two's across the line, you'll notice it makes more sense. So now we know that every square goes up by two. x = 6 is the exact center of the line.

I hope this wasn't confusing, it's tough to explain it!

3 0

3 years ago

Read 2 more answers

A conjecture and the two-column proof used to prove the conjecture are shown.

slavikrds [6]

given: s is the midpoint of rt

definition of midpoint: rs st

given: st xy

transitive property of congruence: rs xy

8 0

3 years ago

Vesnalui [34]

X is 125 as well because it’s an Cubs all sides are equal

4 0

3 years ago