MATHEMATICS HIGH SCHOOL

what are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2 x = ±6 x = ±5 no real solution

Answers

Answer 1

Answer:

Consider the given quadratic equation $50-x^2=0$

$x^2-50=0$

Comparing the given quadratic equation to the general equation $ax^2+bx+c=0$ , we get a= 1, b=0 and c= -50

So, the solution to the quadratic equation is given by:

$x = (-b \pm √(b^2-4ac))/(2a)$

$x = (-0 \pm √(0^2-4(1)(-50)))/(2)$

$x = (\pm √(200))/(2)$

$x = \pm \sqrt2 (5)$

$x = \pm 5\sqrt2$

So, the solutions to the given quadratic equation are $x = \pm 5\sqrt2$ .

Answer 2

Answer:

Answer:

Step-by-step explanation:

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If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?a. 2
b. 4
c. 9
d. 10

Answers

The correct answer is:

A) 2.

Explanation:

We know that |x|² = 13 and x = 3+bi:

(3+bi)² = 13
3² + b² = 13
9 + b² = 13

Subtract 9 from each side:
9 + b² - 9 = 13 - 9
b² = 4

Take the square root of each side:
√b² = √4
b = 2

A possible value of b is mathematically given as

b = 2

What is a possible value of b ?

Generally, the equation for the complex number is mathematically given as

x = 3 + bi and |x|^2 = 13,

Therefore

$(3+bi)^2 = 13\n\n9 + b^2 = 13\n\nb^2 = 4$

Take the square root of each side:

$√(b^2) = √(4)$

b = 2

In conclusion,

Answers

Answer:

Step-by-step explanation:

● 5 [ (27/8)^2 ÷ (81/4)^3 ] × 6^4

● 5 [ 27^2/8^2 ÷ 81^3/4^3 ] × 6^4

● 5 [ 27^2/8^2 × 4^3/81^3] × 6^4

● 5 [ 27^2 × 4^3 / 8^2 × 81^3] × 6^4

● 5 [ (3^3)^2 × 4^3 / (4×2)^2 × (9^2)^3]×6^4

● 5 [ 3^6 × 4^3 / 4^2 × 2^2 × 9^2 ×2^3]×6^4

● 5 [ 3^6 × 2^6/2^9 × 3^4 ] × 6^4

● 5 [ 3^2 /2^3] × 6^4

● 5 [3^2 × 6^4 / 2^3]

● 5 [ 3^2 × 2^4×3^4 / 2^3]

● 5 [ 3^7 × 2]

Mexine can stack 20 boxes in 15 minutes. how long will it take her to stack 100 boxes

Answers

lets use a rule of three simple with direct proportion to solve:
20 boxes -----> 15 min
100 boxes ----> x
x = (100)(15)/20
x = 75
therefore it takes 75 mins to stack 100 boxes

If we use fractions to solve:
15/20 = x/100
and solve for x.
20/15 = 100/y
solve for y

Which is the longest 2 km 25m 2500 cm or 3000 mm

Answers

2km=2 kilometer
kilo=1000 so 2 km=2000m

25m

2500cm
cm=centimeter=1/100 of a meter
so
2500cm=25m

mm=milimeter=1/1000 meter
so
3000mm=3m

so the longets is obviously 2000m or 2km

So,

Let's state everything in terms of meters (m).

The conversion factor between km and m is as follows:
1 km = 1000 m
Therefore, 2 km is 2000 m.

The conversion factor between cm and m is as follows:
100 cm = 1 m
Therefore, 2500 cm is 25 m.

The conversion factor between mm and m is as follows:
1000 mm = 1 m
Therefore, 3000 mm is 3 m.

Here are all the numbers in meters.
2000 m, 25 m, 25 m, 3 m

We can quickly see that 2000 m is the longest distance. It is 2 km.

Simplify the expression
-8n+n

Answers

The answer is -8n + n equals -7n

Add -8n and n
Answer = -7n

90. The pharmaceutical abbreviation "bid" means _____________________. a. once a day b. twice a day c. once a week d. twice a week

Answers

Answer:

The pharmaceutical abbreviation "bid" means "twice a day." In medical terminology, "bid" stands for "bis in die," which is Latin for "twice a day." It indicates that a medication should be taken two times within a 24-hour period, typically with an interval of approximately 12 hours between doses.

Step-by-step explanation:

Understanding pharmaceutical abbreviations is crucial for proper medication administration and adherence to prescribed dosing schedules. In this case, knowing that "bid" means "twice a day" helps ensure that patients take their medication as directed by their healthcare provider.

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