To solve this problem you must apply the proccedure shown below:
1. You need to apply the Pythagorean Theorem:
![c^{2}=b^{2}+a^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%3Db%5E%7B2%7D%2Ba%5E%7B2%7D)
Where <em>c</em> is the hypotenuse and the legs are<em> a</em> and <em>b.</em>
2. Now, you must substitute the values given in the problem above and solve for <em>b</em>:
![(2b)^{2}=b^{2}+12^{2}\\4b^{2}=b^{2}+144\\4b^{2}-b^{2}=144\\3b^{2}=144\\b=\sqrt{\frac{144}{3}}\\b=6.92](https://tex.z-dn.net/?f=%282b%29%5E%7B2%7D%3Db%5E%7B2%7D%2B12%5E%7B2%7D%5C%5C4b%5E%7B2%7D%3Db%5E%7B2%7D%2B144%5C%5C4b%5E%7B2%7D-b%5E%7B2%7D%3D144%5C%5C3b%5E%7B2%7D%3D144%5C%5Cb%3D%5Csqrt%7B%5Cfrac%7B144%7D%7B3%7D%7D%5C%5Cb%3D6.92)
Therefore, the answer is: The value of <em>b</em> is 6.92
-5.25 to the nearest tenth is -5.3.
Answer:
y = -2x + 8
Step-by-step explanation:
(−6, 20) and (0, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - 20) / (0 - (-6))
Simplify the parentheses.
= (-12) / (6)
Simplify the fraction.
-12/6
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -2(0) + b
To find b, multiply the slope and the input of x(0)
8 = 0 + b
b = 8
Plug this into your standard equation.
y = -2x + 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-6, 20).
y = -2x + 8
20 = -2(-6) + 8
20 = 12 + 8
20 = 20
Your equation is correct.
Hope this helps!
2x²=128
x²=64
x=8
so 8 is you're product and half of it would be 4
Answer:
6 and 1
Step-by-step explanation:
Let x - 6 = 0 and x - 1 = 0
x = 6 and x = 1