Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for
1 answer:
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Answer: 4(2x²+9) or
Step-by-step explanation:
To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.
8x²=-36 [add both sides by 36]
8x²+36=0
When it comes to factoring, we want to pull out numbers or variables that are common in each term.
8x²+36=0 [take out a 4 in each term]
4(2x²+9)=0
It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.
To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).
4(2x²+9)=0 [divide both sides by 4]
2x²+9=0 [subtract both sides by 9]
2x²=-9 [divide both sides by 2]
x²=-9/2 [square root both sides]
or
Answer:
The Area of Δ ABC = 219.13
Step-by-step explanation:
<em>The hard part about this problem is finding the area without the height</em>
The formula to do this is Area =
A, B, C represent the sides
S represents (A + B + C)
In this equation, we will make the base be A, and the other two sides will be B and C
<u>Sides B and C are the same length</u> because they meet at a 90° angle
Lets plug the numbers into the variables
A = 28
B= 21
C= 21
<u>Remember:</u> S represents (A + B + C)
S = (28 + 21 + 21)
S = (70)
S = 35
<em>Lets plug the numbers into the Area Formula now!</em>
Area =
According to the order of operations, we need to do the calculations in parentheses <u>first</u>
35 - 28 = 7
35 - 21 = 14
35 - 21 = 14
14 x 14 x 7 = 1372
1372 x 35 = 48020
= 219.13
The Area of Δ ABC = 219.13