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3 years ago

4 times the difference of 4 and a number is 24

Mathematics

1 answer:

Len [333]3 years ago

6 0

Answer:

Step-by-step explanation:

Let "a number" = x

4(x - 4) = 24

Isolate the x. First, divide 4 from both sides

(4(x -4))/4 = (24)/4

x - 4 = 6

Add 4 to both sides

x - 4 (+4) = 6 (+4)

x = 6 + 4

x = 10

10 is your answer for "a number"

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<img src="https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7BE%7D%7B%20%5Csqrt%7BR%20%7B%7D%5E%7B2%7D%20%2B%20W%20%7B%7D%5E%7B2%7D%20L%

AleksandrR [38]

Answer:

R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Step-by-step explanation:

Squaring both sides of equation:

I^2 = (ER)^2/(R^2 + (WL)^2)

<=>(ER)^2 = (I^2)*(R^2 + (WL)^2)

<=>(ER)^2 - (IR)^2 = (IWL)^2

<=> R^2(E^2 - I^2) = (IWL)^2

<=> R^2 = (IWL)^2/(E^2 - I^2)

<=> R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Hope this helps!

7 0

3 years ago

Two cars start from the same point driving in opposite directions. Both cars drive 6miles. One car stops, the other car makes a

dimaraw [331]

Answer:

<u>14.4 mile</u>²

Explanation:

1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.

2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.

Hence, you must use Pythagoras to find that distance.

3. Pythagoras

hypotenuse² = leg₁² + leg₂²

hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²

$hypotenuse=\sqrt{208mile^2}=14.4mile^2$ , which is rounded to the neartest tenth of a mile.

8 0

3 years ago

2 times the square root of 25 plus the square root of negative 16

PSYCHO15rus [73]

Answer:

10 + 4 i

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4 0

3 years ago

Read 2 more answers

Need help badly don’t have answer to this problem.

NikAS [45]

There are a couple of ways to tackle this one, using the 45-45-90 rule or just using the pythagorean theore, let's use the pythagorean theorem.

the angle at A is 45°, and its opposite side is BC, the angle at C is 45° as well, and its opposite side is AB, well, the angles are the same, thus BC = AB.

hmmm le'ts call hmmm ohh hmmm say z, thus BC = AB = z.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2 \implies (6\sqrt{2})^2=z^2+z^2
\qquad 
\begin{cases}
c=\stackrel{6\sqrt{2}}{hypotenuse}\\
a=\stackrel{z}{adjacent}\\
b=\stackrel{z}{opposite}\\
\end{cases}\\\\\\ 6^2(\sqrt{2})^2=2z^2\implies 36(2)=2z^2\implies \cfrac{36(2)}{2}=z^2\implies 36=z^2
\\\\\\
\sqrt{36}=z\implies 6=z$

4 0

3 years ago

Read 2 more answers

The graph of the equation y equals 1/2 x - 3 determine the value of y for the point (4,y).

oksano4ka [1.4K]

The answer is b. If your problem is y=1/2x-3

3 0

3 years ago