You can write it like this 5+5
We are asked in this problem the surface area of the prism given the dimensions: <span>9mm by 12mm by 8mm. Surface area is the sum of the areas of each face of the prism. The formula for surface area is 2*lw+2*lh+ 2*wh. In this case, upon substitution, SA = 2*9*12+2*9*8+2*12*8 equal to a total of 552 mm2. </span>
Answer:
x= -1/2 and x=2/11
Step-by-step explanation:
Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x
Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0
Look at it as if there are two equations: 22x^2+11x and -4x-2
Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)
Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)
Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2
Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:
(11x-2)(2x+1)
Solve each equation for x by equaling them both to zero
Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
Answer:
The standard deviation of the set is: 1.5
Step-by-step explanation:
The actual standard deviation is 1.58... but to 1 decimal place it's 1.5