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3 years ago

A right triangle has side lengths 4 units, 5 units, and x units what is the difference between the difference values of x?

Mathematics

1 answer:

irina [24]3 years ago

6 0

Use the Pythagorean theorem.

If x is a hypotenuse, then we have:

$x^2=4^2+5^2\\\\x^2=16+25\\\\x^2=41\to x=\sqrt{41}$

If x is a leg, then we have:

$x^2+4^2=5^2\\\\x^2+16=25\ \ \ \ |-16\\\\x^2=9\to x=\sqrt9\to x=3$

Answer: $\sqrt{41}-3$

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I don't know how to do this one. plz help

egoroff_w [7]

Answer:

As x decreases without bound, f(x) increases without bound

As x increases without bound, f(x) approaches 0

Step-by-step explanation:

As x gets more and more negative f(x) gets bigger and bigger

f(x) = (7/10) ^ x but x is negative so flip it and then x is a larger number

(10/7) ^ large number so it will get larger

as → -∞ f(x) →∞

As x gets more and more positive f(x) gets smaller and smaller

f(x) = (7/10) ^ x closer and closer to 0. The denominator gets larger faster than the numerator = 1 / large number

as → ∞ f(x) →0

3 0

2 years ago

-2.2 + 0.3z= 3 -0.5z -0.8z<br><br> what does z equal

sineoko [7]

Add 2.2 to each side so 0.3z = 5.2 - 0.5z -0.8z
add 0.5z to each side so 0.8z = 5.2 - 0.8z
add 0.8z to each side so 1.4z = 5.2
divide each side by 1.4 so z = 3.71428571

4 0

3 years ago

Read 2 more answers

A bag contains 10 red marbles, 7 green marbles. and 8 striped marbles. A marble is picked, then put back into bag. Find P(green

SIZIF [17.4K]

G = number of green = 7

S = number of striped = 8

T = number total = 10+7+8 = 25

probability of picking green = P(G) = G/T = 7/25

probability of picking striped = P(S) = S/T = 8/25

P(green and striped) = P(G)*P(S) ... events are independent

P(green and striped) = (7/25)*(8/25)

P(green and striped) = (7*8)/(25*25)

P(green and striped) = 56/625

P(green and striped) = 0.0896

--------------------------------

In summary, the answer as a fraction is 56/625

In decimal form, the answer is 0.0896

The value 0.0896 can be converted to percent form to get 8.96%

8 0

3 years ago

If a 50-inch flat-screen now costs $1200, what will it cost in three years?

Ainat [17]

Twelve hundred times three equals 3600 so in 3 years it will cost 3600

5 0

3 years ago

What is the frequency of the sinusoidal graph ?

disa [49]

Answer:

The frequency of the given sinusoidal graph is 4.

Step-by-step explanation:

The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.

From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to $\frac{\pi}{2}$ .

If the complete its one cycle in $\frac{\pi}{2}$ , then the number of cycles completed by the graph in the inteval 0 to 2π is

$\frac{\pi}{2}\times frequency=2\pi$

$frequency=2\pi \times \frac{2}{\pi}$

$frequency=4$

Therefore the frequency of the given sinusoidal graph is 4.

7 0

3 years ago