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3 years ago

Please help will mark brainlist

Mathematics

2 answers:

vredina [299]3 years ago

7 0

Answer:

XY ≈ 11.7 units

Step-by-step explanation:

Calculate the distance using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = X (- 4, 3) and (x₂, y₂ ) = Y (2, - 7)

XY = $\sqrt{(2+4)^2+(-7-3)^2}$

= $\sqrt{6^2+(-10)^2}$

= $\sqrt{36+100}$

= $\sqrt{136}$

≈ 11.7 ( to the nearest tenth )

4vir4ik [10]3 years ago

3 0

Answer:

I believe it is 8.0 units.

Step-by-step explanation:

I may be wrong, but bare with me:

X and Y have negative and positive meaning depending on the quadrant, so if it is correctly put, the answer would be 7.6 units. Rounded to the nearest tenth would be 8.0

Hope this helps!

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A rectangle has a height of b3 + b2 and a width of b2 + 76 + 4.

zaharov [31]

Answer:

The area is:

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Step-by-step explanation:

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$a = ({x}^{ 3} + {x}^{2} )( {x}^{2} + 7x + 4) \\ a = {x}^{5} + 7{x}^{4} + 4 {x}^{3} \\ + {x}^{4} + 7 {x}^{3} + 4 {x}^{2} \\ a = {x}^{5} + 8 {x}^{4} + 11 {x}^{3} + 4 {x}^{2}$

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4 years ago

The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after

Cloud [144]

<h3>Answer: 226 grams</h3>

===========================================================

Explanation:

The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.

In this case, we start with 904 grams and follow this sequence:

904, 452, 226, 113, ...

Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.

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

If you want to use a formula, then it would be

$y = A*\left(\frac{1}{2}\right)^{x/H}$

where,

H = half-life duration (in this case, it is 35)

A = starting amount (which is 904 in this case)

x = amount of time that has elapsed (we will plug in x = 70)

y = final amount after x units of time has elapsed

note that x and H must have the same time unit. Both are in terms of hours in this case.

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

So we will plug A = 904, x = 70, H = 35 into the formula to get...

$y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\$

We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.

4 0

3 years ago