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Shkiper50 [21]
3 years ago
14

Given the line: y=2x+3. What is theslope of a line perpendicular to the given line

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0
The slope for this line would be 2
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Use the Distance Formula to find the distance between (1, 3) and (-2,9), rounded to the nearest hundredth.
denis23 [38]

Answer:

3\sqrt{5\\

Step-by-step explanation:

3 0
3 years ago
A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in we
Pavel [41]

Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

\frac{dP}{dt} = 1.5P

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the initial population and the population one week later, the rate of growth is given by:

k = 9/6 = 1.5.

The standard differential equation for population growth is:

\frac{dP}{dt} = kP

Hence:

\frac{dP}{dt} = 1.5P

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
2 years ago
Frank is using a cookie recipe that calls for 2 ¼ cups of flour. The recipe yields 20 cookies. How much flour would be needed to
larisa86 [58]

Hey there! I'm happy to help!

How many times does 20 go into 48?

48/20=2.4

So, we multiply our amount of flour for 20 cookies by 2.4.

2.25×2.4=5.4

Therefore you would need 5.4 or 5 2/5 cups of flour to make 48 cookies.

Have a wonderful day! :D

3 0
3 years ago
If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2
ipn [44]

Answer:

g(x)=x+1

The problem:

Find g(x) if h(x)=(f \circ g)(x),

h(x)=\sqrt[3]{x+3}, and

f(x)=\sqrt[3]{x+2}.

Step-by-step explanation:

h(x)=(f \circ g)(x)

h(x)=f(g(x))

Replace x in f(x)=\sqrt[3]{x+2} with g(x) since we are asked to find f(g(x)):

\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}

\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}

This implies that x+1=g(x)

Let's check:

(f \circ g)(x)

f(g(x))

f(x+1)

\sqrt[3]{(x+1)+2}

\sqrt[3]{x+1+2}

\sqrt[3]{x+3}  which is the required result for h(x).

6 0
3 years ago
Solve for t.<br><br>-1(t + 8) = -7.1​
lawyer [7]
T= -0.9 is the answer
8 0
3 years ago
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