Answer:
160 in²
Step-by-step explanation:
Multiply:
16 x 10 = 160 in ²
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-Chetan K
Answer:
true
Step-by-step explanation:
Examples :
180 = 5 × 2² × 3²
Then
The number 180 has perfect square factors which are 2 and 3
Then
The number √180 can be simplified because:
![\sqrt{180} =\sqrt{5\times 2^{2}\times 3^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B180%7D%20%3D%5Csqrt%7B5%5Ctimes%202%5E%7B2%7D%5Ctimes%203%5E%7B2%7D%7D)
![=\sqrt{5\times \left( 2\times 3\right)^{2} }](https://tex.z-dn.net/?f=%3D%5Csqrt%7B5%5Ctimes%20%5Cleft%28%202%5Ctimes%203%5Cright%29%5E%7B2%7D%20%20%7D)
![=\sqrt{5\times \left( 6\right)^{2} }](https://tex.z-dn.net/?f=%3D%5Csqrt%7B5%5Ctimes%20%5Cleft%28%206%5Cright%29%5E%7B2%7D%20%20%7D)
![=\sqrt{5} \times \sqrt{6^{2}}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B5%7D%20%5Ctimes%20%5Csqrt%7B6%5E%7B2%7D%7D)
![=6\sqrt{5}](https://tex.z-dn.net/?f=%3D6%5Csqrt%7B5%7D)
On the other hand :
10 = 5 × 2
Then
The number 10 has no perfect square factors
Then
The number √10 cannot be simplified because:
![\sqrt{10} =\sqrt{5\times 2} =\sqrt{5} \times \sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B10%7D%20%3D%5Csqrt%7B5%5Ctimes%202%7D%20%3D%5Csqrt%7B5%7D%20%5Ctimes%20%5Csqrt%7B2%7D)
![\text{and} \ \sqrt{5} \times \sqrt{2} \ \text{is not a simplified expression of} \ \sqrt{10} \ \\\text{,in fact it is more complicated than} \ \sqrt{10}](https://tex.z-dn.net/?f=%5Ctext%7Band%7D%20%5C%20%20%5Csqrt%7B5%7D%20%5Ctimes%20%5Csqrt%7B2%7D%20%5C%20%20%5Ctext%7Bis%20not%20a%20simplified%20expression%20of%7D%20%5C%20%20%5Csqrt%7B10%7D%20%5C%20%20%5C%5C%5Ctext%7B%2Cin%20fact%20it%20is%20more%20complicated%20than%7D%20%5C%20%20%5Csqrt%7B10%7D)
By knowing the <em>blood</em> pressure and applying the <em>quadratic</em> formula, the age of a man whose normal <em>blood</em> pressure is 129 mm Hg is 40 years old.
<h3>How to use quadratic equations to determine the age of a man in terms of blood pressure</h3>
In this problem we have a <em>quadratic</em> function that models the <em>blood</em> pressure as a function of age. As the latter is known, we must use the quadratic formula to determine the former:
129 = 0.006 · A² - 0.02 ·A + 120
0.006 · A² - 0.02 · A - 9 = 0
![A = \frac{0.02 \pm \sqrt{0.006^{2}-4\cdot (0.006)\cdot (- 9)}}{2\cdot (0.006)}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B0.02%20%5Cpm%20%5Csqrt%7B0.006%5E%7B2%7D-4%5Ccdot%20%280.006%29%5Ccdot%20%28-%209%29%7D%7D%7B2%5Ccdot%20%280.006%29%7D)
A = 1.667 + 38.733
A = 40
By knowing the <em>blood</em> pressure and applying the <em>quadratic</em> formula, the age of a man whose normal <em>blood</em> pressure is 129 mm Hg is 40 years old.
To learn more on quadratic equations: brainly.com/question/1863222
#SPJ1
The last one isn’t
there can’t be more than 1 of the same x value
Answer:
The answer is
<h2>7.61 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>
![d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7Bx1%20-%20x2%7D%29%5E%7B2%7D%20%2B%20%20%28%7By1%20-%20y2%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20)
</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,-1) and (4, 2).
The distance is
![d = \sqrt{ ({ - 3 - 4})^{2} + ({ - 1 - 2})^{2} } \\ = \sqrt{ ({ - 7})^{2} + ({ - 3 })^{2} } \\ = \sqrt{49 + 9} \\ = \sqrt{58} \\ = 7.615773](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7B%20-%20%203%20-%204%7D%29%5E%7B2%7D%20%20%2B%20%20%28%7B%20-%201%20-%202%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%28%7B%20%20-%207%7D%29%5E%7B2%7D%20%20%2B%20%20%28%7B%20-%20%20%203%20%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B49%20%2B%209%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B58%7D%20%20%5C%5C%20%20%3D%207.615773)
We have the final answer as
<h3>7.61 units to the nearest hundredth</h3>
Hope this helps you