Answer:
D) x=![\frac{-2+-2\sqrt{7} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%2B-2%5Csqrt%7B7%7D%20%7D%7B3%7D)
Step-by-step explanation:
The quadratic formula is : ![\frac{-b+-\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%2B-%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
A in terms of this question=9
B in terms of the question is 12
C in terms of the question is -24.
This question is an example of a quadratic equation. To work this out you may first need a calculator. The first step is to substitute the values of a,b and c into the formula. So once substituted the formula of
becomes
. Although when written in a calculator there will not be a plus and minus button and so you would have to do this separately.
However when substituting the values it would be best practice to put them in brackets.
1) Substitute the values into the equation for +.
![\frac{(-12)+\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}=\frac{-2+2\sqrt{7} }{3} /1.097167541](https://tex.z-dn.net/?f=%5Cfrac%7B%28-12%29%2B%5Csqrt%7B%2812%29%5E2-4%2A%289%29%2A%28-24%29%7D%20%7D%7B2%289%29%7D%3D%5Cfrac%7B-2%2B2%5Csqrt%7B7%7D%20%7D%7B3%7D%20%2F1.097167541)
2) Substitute the values into the equation for -.
![\frac{(-12)-\sqrt{(12)^2-4*(9)*(-24)} }{2(9)}=\frac{-2+2\sqrt{7} }{3} /-2.430500874](https://tex.z-dn.net/?f=%5Cfrac%7B%28-12%29-%5Csqrt%7B%2812%29%5E2-4%2A%289%29%2A%28-24%29%7D%20%7D%7B2%289%29%7D%3D%5Cfrac%7B-2%2B2%5Csqrt%7B7%7D%20%7D%7B3%7D%20%2F-2.430500874)
Answer:
13/52 or 25%
Step-by-step explanation:
There are 13 clubs out of a deck of cards (52)
The blue print has a scale of 1:20. So every 1 inch represents 20 inches of the actual size. so 3 inches represents 20*3 of the actual table = 60 inches
12 inches is 1 feet
so 60 inches =60/12 = 5 feet
The correct answer is 5 feet.
Assuming the two angles are supplementary, the angle measuring x is equal to 33.75, and the angle measuring 3x+45 is equal to 146.25.
Step-by-step explanation:
x+(3x+45)=4x+45=180
4x+45=180
-45 -45
4x=135
÷3 ÷3
x=33.75
3x+45=146.25