Answer:
x= -0.785
Step-by-step explanation:
12x plus 2x equals 14x
negative 14 plus 3 equals negative 11
negative 11 divided by 14 equals x
Answer:
h = 13cm and b= 54cm.
Step-by-step explanation:
We have that the area
and the base is two centimeters longer than four times the height, that is
![b = 2+4h](https://tex.z-dn.net/?f=b%20%3D%202%2B4h)
where b is the base and h the height. Now, the area is
![A=\frac{b*h}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bb%2Ah%7D%7B2%7D)
![351=\frac{(2+4h)h}{2}](https://tex.z-dn.net/?f=351%3D%5Cfrac%7B%282%2B4h%29h%7D%7B2%7D)
![702=2h+4h^2](https://tex.z-dn.net/?f=702%3D2h%2B4h%5E2)
.
Now, we are going to use the general formula to solve quadratic ecuations:
![h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where a=4, b= 2 and c= -702.
![h=\frac{-2\pm\sqrt{2^2-4(4)(-702)}}{2*4}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2%5Cpm%5Csqrt%7B2%5E2-4%284%29%28-702%29%7D%7D%7B2%2A4%7D)
![h=\frac{-2\pm\sqrt{4+11232}}{8}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2%5Cpm%5Csqrt%7B4%2B11232%7D%7D%7B8%7D)
![h=\frac{-2\pm106}{8}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2%5Cpm106%7D%7B8%7D)
or ![h=\frac{-2-106}{8}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2-106%7D%7B8%7D)
As we are searching for the lenght, we choose the positive result:
![h=\frac{-2+106}{8}=13cm](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2%2B106%7D%7B8%7D%3D13cm)
.
Answer:
1/2
Step-by-step explanation:
Probability of snowing on both Sunday and Monday= probability that it will snow on Sunday × probability that it will snow on Monday.
(and usually means multiply the probabilities while or implies addition of the probabilities).
Let probability of snowing on Monday be P
Hence 3/10=3/5× P
Hence P=(3/10) divided by (3/5) = 1/2
Answer:
- perimeter: 36 units
- area: 54 square units
Step-by-step explanation:
The perimeter is multiplied by the scale factor:
image perimeter = 3 × original perimeter = 3×12 = 36 units
The area is multiplied by the square of the scale factor:
image area = 3² × original area = 9×6 = 54 square units
The formula is the following:
![16,000(1+0.062)^n\text{ wherein n is the number of the years. }\\\text{For n=5 we get:}\\16,000(1+0.062)^5=\$21614](https://tex.z-dn.net/?f=16%2C000%281%2B0.062%29%5En%5Ctext%7B%20wherein%20n%20is%20the%20number%20of%20the%20years.%20%7D%5C%5C%5Ctext%7BFor%20n%3D5%20we%20get%3A%7D%5C%5C16%2C000%281%2B0.062%29%5E5%3D%5C%2421614)
In order to get the monthly amount, divide the above number by the number of months in 5 years like this:
Answer $360