Answer:
x = -2+√3i and -2-√3i
Step-by-step explanation:
The formula for the general formula is expressed as;
x = -b±√b²-4ac/2a
Given the expression
x²+4x+7 = 0
a = 1, b = 4 and c = 7
Substitute
x = -4±√4²-4(1)(7)/2(1)
x = -4±√16-28/2
x = -4±√-12/2
x = -4±√4*-3/2
x = -4±2√-3/2
x = -4±2√3i/2
x = -4+2√3i/2 and -4-2√3/2
x = -2+√3i and -2-√3i
Answer:
30.5 hours
Step-by-step explanation:
444-78=366
366/12=30.5
30.5 x 12= 366
Answer:
50
Step-by-step explanation:
x = √30² - 18² = √576 = 24
tan A = 18/24 = 3/4
∠A = ∠B
tan B = tan A = 24 / y = 3 / 4
y = (24 x 4) / 3 = 32
Z = y + 18 = 32 + 18 = 50
Answer:
6 times.
Explanation:
Since she served 3 salads that contain 2/3 cup of blueberries each, and her measuring cup only holds 1/3 cup, she'll have to measure the blueberries 6 times in total, doing 2 measurements per salad (2 x 1/3 = 2/3). Since 2 x 1/3 cup is 2/3 cup, and there are 3 salads in total (multiply 2 measurements by 3 salads), this means she measures the blueberries 6 times.
Answer:
kevin is 6 years old
Step-by-step explanation:
Let Kevin's age now be a
Daniel's age now be b
Kevin is 3 years older than Daniel. -> a-3 = b
Two years ago, Kevin was 4 times as old as Daniel -> a-2 = 4(b-2) = 4b -8
-> a-3 -(a-2) = b - (4b-8)
-> - 1 = -3 b +8
-> -9 = -3b
-> b = 3
-> a = 6
