1 of 52 because there is one ace of hearts in a deck. so if there is only one card you can only have a chance to get that one card out of all 52.
hope this helped :)
Answer: ![b=\sqrt{c^{2}-a^{2}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7Bc%5E%7B2%7D-a%5E%7B2%7D%7D)
Step-by-step explanation:
To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:
- Square both sides of the equation as following:
![c^{2}=(\sqrt{a^{2}+b^{2}})^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%3D%28%5Csqrt%7Ba%5E%7B2%7D%2Bb%5E%7B2%7D%7D%29%5E%7B2%7D)
- Now you must subtract a² from each side of the equation, then you obtain:
![c^2-a^{2}=a^{2}-a^{2}+b^{2}](https://tex.z-dn.net/?f=c%5E2-a%5E%7B2%7D%3Da%5E%7B2%7D-a%5E%7B2%7D%2Bb%5E%7B2%7D)
![c^2-a^{2}=b^{2}](https://tex.z-dn.net/?f=c%5E2-a%5E%7B2%7D%3Db%5E%7B2%7D)
- Apply square root to both sides:
![\sqrt{b^{2}}=\sqrt{c^{2}-a^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7Bb%5E%7B2%7D%7D%3D%5Csqrt%7Bc%5E%7B2%7D-a%5E%7B2%7D%7D)
Then:
![b=\sqrt{c^{2}-a^{2}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7Bc%5E%7B2%7D-a%5E%7B2%7D%7D)
Answer: ![m=-1.714](https://tex.z-dn.net/?f=m%3D-1.714)
Step-by-step explanation:
By definition, the slope of the line is described as "Rate of change".
You need to use the following formula to calcualte the slope of the line;
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
In this case you know that the line passes through these two points: (8, -10) and (-6, 14).
Then, you can say that:
![y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6](https://tex.z-dn.net/?f=y_2%3D-10%5C%5Cy_1%3D14%5C%5C%5C%5Cx_2%3D8%5C%5Cx_1%3D-6)
Knowing these values, you can substitute them into the formula for calculate the slope of a line:
![m=\frac{-10-14}{8-(-6)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-10-14%7D%7B8-%28-6%29%7D)
Finally, you must evaluate in order to find the slope of this line. You get that this is:
![m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-24%7D%7B8%2B6%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B-24%7D%7B14%7D%5C%5C%5C%5Cm%3D-%5Cfrac%7B12%7D%7B7%7D%5C%5C%5C%5Cm%3D-1.714)
Answer:
<em>-1,3,5,9,13</em>
Step-by-step explanation:
2(-3)+5=-6+5=-1
2(-1)+5=-2+5=3
2(0)+5=0+5=5
2(2)+5=4+5=9
2(4)+5=8+5=13
1) 12 * 9 = 108 cm² - part 1
2) 12 - 3 - 3 = 6 cm
3) 6 * 4 = 24 cm² - part 2
4) 108 + 24 =
132 cm ² - the area.