Which equation represents the line that passes through the point (−2,5) and has a slope of −3?

1 answer:

6 0

Use the point-slope form of the equation of a straight lie:-

y - y1 = m(x - x1)

Plugging in the given values

y - 5 = -3(x - -2)
y - 5 = -3x - 6
y = -3x - 1 is the answer (B)

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What is the area of the shaded region? (Use 3.14 for Pi) *

love history [14]

Answer:

The area of the shaded region is the difference between the areas of the rectangle and the square.

Step-by-step explanation:

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3 years ago

Jenny bought a 5 notebooks and 2 pencils, and the total was 9 dollars.

weeeeeb [17]

You would solve this with simultaneous equations, so if we write it as:
5n + 2p = 9
3n + 2p = 6
(subtract)
2n = 3
÷ 2
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Now you would substitute it in:
(3 × 1.5) + 2p = 6
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- 4.5
2p = 1.5
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So your final answer is notebooks are $1.50 and pens are $0.75, I hope this helps!

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3 years ago

A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia

iogann1982 [59]

$\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\$

$\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}$

what's the population in 2004? well, from 1994 to 2004 is 10 years later, so t = 10

plug that in, to get P for 2004

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3 years ago

Please answer! Very easy and will mark brainlist.

kondor19780726 [428]

Answer:

18.57

Step-by-step explanation:

First you have to simplify the equation using cross-multiplication

You should get 7v=130

Then divide both sides by 7

You should get v=130/7

simplify that and get 18 4/7

Turn that into decimal form and you get 18.57

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3 years ago

Read 2 more answers

Question number 10 please answer fast it is urgent

Flura [38]

Sorry but, question is not completely seen

6 0

3 years ago