Simplify the following 1. x3y2zx?y2z4y

The sum of the square of two consecutive positive integers is 85. Write a quadratic equation

Vsevolod [243]

Answer:

2x^2 + 2x - 83 = 0

Step-by-step explanation:

Consecutive integers differ by 1

Let the first number be x

The next will be (x+1)

The sum of the squares of these two numbers is 85

so we have;

x^2 + (x + 1)^2 =85

= x^2 + x^2 + 2x + 2 = 85

2x^2 + 2x + 2-85 = 0

2x^2 + 2x - 83 = 0

3 0

3 years ago

Problem Solving

Semenov [28]

Answer:

12:30PM

Step-by-step explanation:

Known information:

There are 4 classes.

Each class is 1 hour.

There are 10 minutes between classes, like a break.

Draw a diagram:

start-CLASS1, break, CLASS2, break, CLASS3, break, CLASS4-end

There are 3 breaks because there are no breaks before and after the first and last classes.

Multiply the number of classes by the time length for class.

Multiply the number of breaks by the time length for breaks.

Add the two numbers together to get the total school time:

Classes: 4*1h = 4h

Breaks: 3*10min = 30min

4h + 30min = 4h 30min

Calculate 4h and 30min after 8:00 AM.

Add 4 hours and 30 minutes to 8.

. 8:00

+ 4:30

. 12:30

In the AM/PM clock (not 24 hour clock) there are 12 hours. After 12:59, it becomes 1:00, not 13:00.

Since "12:30" is possible on the AM/PM, we do not need to fix it.

The AM/PM clock changes at 12:00.

This means that after 11:59PM it becomes 12:00AM.

After 11:59AM it becomes 12:00PM. (Usually lunch)

Since 12:30 passed 11:59, the AM/PM sign changes.

The fourth class ends at 12:30PM.

3 0

3 years ago

polly the carrot has learned to say "polly wants a cracker." if she says it every five minutes for two hours and gets a cracker

schepotkina [342]

Answer:

24

Step-by-step explanation:

(60 × 2 ) ÷ 5 = 24.

60 because hour is 60 minutes

× 2 because she says it for 2 hours

÷ 5 because she says it every 5 minutes

3 0

3 years ago

The geometric mean of 4 and 9 is _____. A.) 36 B.) 6 C.) 18 D.) 6.5

Snezhnost [94]

Hey there,

The geometric mean of 4 and 9 is $\boxed{6}$

Reason: The square root of the product of the both numbers.

The geometric mean of 4 and 9 is 6. 4 * 9. = 6

~Jurgen

7 0

3 years ago

Read 2 more answers

Which of the following is not involved in constructing a circle inscribed in a triangle?

Angelina_Jolie [31]

Constructing an a circle inscribed in a triangle involves these steps:

i) Draw 2 (or 3) of the angle bisectors. Their point of intersection is the center of the inscribed circle, or the incenter. Let's denote this point by O

ii) Draw a perpendicular line segment from the incenter to one of the sides. Let the intersection of the perpendicular from O and the side be T.

iii) Draw a circle with center the incenter, and radius the distance OT.

Answer: B) Only perpendicular bisectors are not involved.

6 0

4 years ago