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3 years ago

1 Ft = 12 in ? Need help

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Yes it does, multiply the length value by 12

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Extended Problems, Extraneous Solutions

diamong [38]

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

$(x + 2 = \sqrt{3x + 10}$

Square both sides

$(x + 2) {}^{2} = 3x + 10$

Remeber perfect square Rule

$(x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2}$

So now we got

$x {}^{2} + 4x + 4 = 3x + 10$

${x}^{2} + x + 4 = 10$

${x}^{2} + x - 6 = 0$

Factor into binomial.

$(x + 3)(x - 2) = 0$

So our solution is 3 or 2. However, let's check our work.

$- 3 + 2 = \sqrt{3( - 3) + 10}$

$- 1 = \sqrt{1}$

However square root of 1 is 1. It could be 1 but in Math, We only take the principal square root which is positive always. So -3 isn't a solution.

So let try 2.

 $2 + 2 = \sqrt{3(2) + 10} = 4 = \sqrt{16} = 4 = 4$ 

So this is indeed the solution.

Make up equation for 2 and 3. Ask me if you need help.

5 0

2 years ago

Mike is training to run a marathon. currently, he can run four miles in 44 minutes. if he maintains this running speed, how long

andreyandreev [35.5K]

It would take him 110 minutes to run 10 miles:)

4 0

3 years ago

What is the slope of the line that passes through the points (−5,0) and (7, 8) ?

SVETLANKA909090 [29]

Answer:

2/3

Step-by-step explanation:

y2-y1/x2-x1

8-0/7+5

8/12

2/3

4 0

3 years ago

The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in th

Alisiya [41]

Answer:

c. dP/dt = (1/5)P

Step-by-step explanation:

Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have

dP/dt ∝ P

dP/dt = kP

Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,

2 = k × 10

k = 2/10

k = 1/5

So, dP/dt = kP

dP/dt = (1/5)P

6 0

3 years ago

Solve for x. Show your work. -1/2 x < -12

Sergio039 [100]

-1/2x < -12

Divide both sides by -1/2

Also because you are dividing by a negative number you need to reverse the inequality sign.

X > 24

4 0

3 years ago