Answer: I'm afraid I can't answer that.
Step-by-step explanation: I need details and if it's a workbook or something then I probably don't have it
Answer:
The three given points are the vertices of a right triangle.
Step-by-step explanation:
To determine that the three points are the vertices of a right triangle let us find the distance between each two points
The formula of the distance is
∵
= 6 and
= -6
∵
= 9 and
= -6
∴
= ![\sqrt{(9-6)^{2}+(-6--6)^{2}}=\sqrt{9+0}](https://tex.z-dn.net/?f=%5Csqrt%7B%289-6%29%5E%7B2%7D%2B%28-6--6%29%5E%7B2%7D%7D%3D%5Csqrt%7B9%2B0%7D)
∴
= 3
∵
= 6 and
= -6
∵
= 9 and
= 1
∴
= ![\sqrt{(9-6)^{2}+(1--6)^{2}}=\sqrt{9+49}](https://tex.z-dn.net/?f=%5Csqrt%7B%289-6%29%5E%7B2%7D%2B%281--6%29%5E%7B2%7D%7D%3D%5Csqrt%7B9%2B49%7D)
∴
= ![\sqrt{58}](https://tex.z-dn.net/?f=%5Csqrt%7B58%7D)
∵
= 9 and
= 1
∵
= 9 and
= -6
∴
= ![\sqrt{(9-9)^{2}+(-6-1)^{2}}=\sqrt{0+49}](https://tex.z-dn.net/?f=%5Csqrt%7B%289-9%29%5E%7B2%7D%2B%28-6-1%29%5E%7B2%7D%7D%3D%5Csqrt%7B0%2B49%7D)
∴
= 7
<em>Let us use the fact that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side</em>
∵ The longest side is ![\sqrt{58}](https://tex.z-dn.net/?f=%5Csqrt%7B58%7D)
∵ The other two sides are 3 and 7
∵ (
)² = 58
∵ (3)² + (7)² = 9 + 49 = 58
∴ (
)² = (3)² + (7)²
- By using the fact above
∴ The triangle is a right triangle
The three given points are the vertices of a right triangle.
First recognize that the unit rate we're finding is gallons per hour, or
![\frac{g}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7Bh%7D)
.
rate for Tank 1 = x gallons per hour = <em>a</em> gallons / <em>b</em> hours
![T_{1}=\frac{\frac{5}{8}}{\frac{7}{10}}\\\\T_{1}=\frac{5}{8}*\frac{10}{7}\\\\T_{1}=\frac{50}{56}\\\\\\Fill\ rate\ of\ Tank\ 1=\frac{25}{28}](https://tex.z-dn.net/?f=T_%7B1%7D%3D%5Cfrac%7B%5Cfrac%7B5%7D%7B8%7D%7D%7B%5Cfrac%7B7%7D%7B10%7D%7D%5C%5C%5C%5CT_%7B1%7D%3D%5Cfrac%7B5%7D%7B8%7D%2A%5Cfrac%7B10%7D%7B7%7D%5C%5C%5C%5CT_%7B1%7D%3D%5Cfrac%7B50%7D%7B56%7D%5C%5C%5C%5C%5C%5CFill%5C%20rate%5C%20of%5C%20Tank%5C%201%3D%5Cfrac%7B25%7D%7B28%7D)
rate for Tank 2 = y gallons per hour = <em>c</em> gallons / <em>d</em> hours
The answer is: [D]: "42" .
_______________________________
Explanation:
________________________________________________________
Consider the "1/9" to be close to "1/10" ; (that is; "0.1" ; since "0.1 = 1/10" ) .
Note that a "negative value" multiplied by a "negative value" equals a "positive value".
Round the "14.1" to "14" ; and the "2.9" to "3" ;
_______________________________________
-14.1 * -2.9 ≈ 14* 3 = 42 .
_______________________________________