Answer:
8
Step-by-step explanation:
If the area is 32 and the formula for area of a triangle is base * height / 2, and you have base = 8 and height = x and area = 32, this would be:
8 * x / 2 = 32
Now, solve:
![8x/2=32\\4x=32\\x=8](https://tex.z-dn.net/?f=8x%2F2%3D32%5C%5C4x%3D32%5C%5Cx%3D8)
The solution of the equation is ![x=\frac{11}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B11%7D%7B7%7D)
Step-by-step explanation:
To simplify an equation of x
- Simplify each side of the equation
- Collect x in side and the numerical terms in the other side
- Find the value of x
∵ The equation is ![2x + \frac{1-x}{4}=3](https://tex.z-dn.net/?f=2x%20%2B%20%5Cfrac%7B1-x%7D%7B4%7D%3D3)
- Multiply all terms of the equation by 4 to cancel the denominator
of the 2nd term in the left hand side
∵ The equation is ![4(2x) +4 (\frac{1-x}{4})=4(3)](https://tex.z-dn.net/?f=4%282x%29%20%2B4%20%28%5Cfrac%7B1-x%7D%7B4%7D%29%3D4%283%29)
∴ 8x + (1 - x) = 12
∴ 8x + 1 - x = 12
- Add like terms
∴ (8x - x) + 1 = 12
∴ 7x + 1 = 12
- Subtract 1 from both sides
∴ 7x = 11
- Divide both sides by 7
∴ ![x=\frac{11}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B11%7D%7B7%7D)
The solution of the equation is ![x=\frac{11}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B11%7D%7B7%7D)
Learn more:
You can learn more about the solution of an equation in brainly.com/question/11306893
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Answer:
Step-by-step explanation:
pentagon , penta (five in Greek) has 5 sides and 5 interior angles
Answer:
Step-by-step explanation:
Given is a table showing the weights, in hundreds of pounds, for six selected cars. Also shown is the corresponding fuel efficiency, in miles per gallon (mpg), for the car in city driving.
Weight Fuel eff. x^2 xy y^2
X Y
28 20 784 560 400
3 22 9 66 484
35 19 1225 665 361
32 22 1024 704 484
30 23 900 690 529
29 21 841 609 441
Mean 26.16666667 21.16666667 797.1666667 549 449.8333333
Variance 112.4722222 1.805555556
Covariance -553.8611111
r -0.341120235
Correlaton coefficient =cov (xy)/S_x S_y
Covariance (x,y) = E(xy)-E(x)E(y)
The correlation coefficient between the weight of a car and the fuel efficiency is -0.341