Answer: no no yes yes
Step-by-step explanation:
Answer:
The equation has two solutions for x:
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Step-by-step explanation:
Let's use the quadratic formula for solving for x in the equation:
X^2 - 8X + 41= 0
x² - 8x + 41 = 0
Let's recall that the quadratic formula is:
x = -b +/- (√b² - 4ac)/2a
Replacing with the real values, we have:
x = 8 +/- (√-8² - 4 * 1 * 41)/2 * 1
x = 8 +/- (√64 - 164)/2
x = 8 +/- (√-100)/2
x = 8 +/- (√-1 *100)/2
Let's recall that √-1 = i
x = 8 +/- 10i/2
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Answer:
a=25
angle abq=139 degrees
bcr=41
Step-by-step explanation:
(2a-9)+(5a+14)=180
7a+5=180
7a=175
a=25
2(25)-9=41
180-41=139
angle abq=139 degrees
bcr=41
Answer:
60%
Step-by-step explanation:
18 divided by 30 is 0.6, and then just move the decimal two to the right and you have 60.
Answer:
D.) 4m, 11m, 9m
Step-by-step explanation:
According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be larger than the third side in order to form a triangle. Using the two shortest sides, you can find the sum and check to make sure it is larger than the third:
3m + 3m = 6m NOT greater than 6m
4m + 7m = 11m NOT greater than 12m
5m + 3m = 8m NOT greater than 9m
4m + 9m = 12m YES greater than 11m