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2 years ago

The sum of two numbers is 62, and their difference is 8. What are the numbers?

Mathematics

1 answer:

Marina CMI [18]2 years ago

6 0

Answer: 35 and 27

Step-by-step explanation:

We can solve this by using a system of equations

x will be the first number while y will be the second

$x+y=62$

This equation means the two numbers will add to get 62

$x-y=8$

This equation means when subtracted the two numbers will have the difference of 8.

Now I will solve by elimination

$x+y=62\\\\+x-y=8\\2x=70$

When adding the two equations why was eliminated so now we can find the value of x

$2x=70\\\frac{2x}{2} =\frac{70}{2} \\x=35$

Now sub in x into one of the original equations to find the value of y

$35+y=62\\35-35+y=62-35\\y=27$

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3 years ago

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vladimir1956 [14]

Answer:

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Step-by-step explanation:

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$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

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$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

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The solutions listed from the smallest to the greatest are:

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2 years ago

What is 65 miles in 2.7 gallons unit rate rounded to the nearest hundredth

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3 years ago

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Help!! Gotta finish 2 units in 4 days!!

Step2247 [10]

Answer:

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Step-by-step explanation:

Hello,

Let's follow the instructions !

Step 1

g(x)=k*f(x)=k*|x|

We know that the point (2,6) is on the graph so 6=g(2) meaning:

6=k*|2|=k*2

*** divide by 2 both sides ***

k = 6/2 = 3

Step 2

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Hope this helps.

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3 years ago

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Answer:

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Step-by-step explanation:

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