A^2 – a – 20 factor completely

Answers

Answer 1
Answer: Factoring this out will be: (a-5) (a+4)

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a model car has a scale of 3 cm : 2 m. The length of the actual hood of the car is 1 m. What is the length of the model?

Answers

1.5 cm is the length of the model.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

a model car has a scale of 3 cm : 2 m.

The length of the actual hood of the car is 1 m.

Now,

Set up a proportion:

3cm/2m = x/1m

Cross-multiply:

2x=3

Divide by 2:

x=1.5 cm

Hence, 1.5 cm is the length of the model.

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Set up a proportion:
3cm/2m = x/1m
Cross-multiply:
2x=3
Divide by 2:
x=1.5 cm

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,

Read more about Arithmetic

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sheldon need to buy 8 gallons of coleslaw for his family. 4.25 for 1 quart and 9.50 for 1 gallon. which size of coleslaw is the better deal

Answers

9.50$ for one gallon. There are 4 quarts in a gallon and if one quart is 4.25$ then for 1 gallon of the 4.25 would come out to 17$

What is the greatest number of acute angles that a traingle can contain?

Answers

Answer:

A triangle, by definition, has three sides and three angles. In a triangle, the sum of the angles is always 180 degrees. In order for an angle to be considered "acute," it must be less than 90 degrees.

So, to find the greatest number of acute angles that a triangle can contain, we need to maximize the number of angles that are less than 90 degrees. Since there are only three angles in a triangle, and the sum of the angles must be 180 degrees, the maximum number of acute angles a triangle can contain is three.

Therefore, a triangle can contain a maximum of three acute angles.

The time it takes for an object stopped from a certain speed can be modeled by the equationt=1/2 square root v, where v is the speed of object in meters per second. if it takes 3 seconds for the object to stop, what is the speed of object in meters per second?

Answers

Given: 
t = 1/2 √v
v = speed of object meters per second

t = 3 seconds

3 = 1/2 √v
3 * 2 = √v
6 = √v
6² = √v²
36 meters = v

v = 36 meters per second

I want you to show me how you did it so I can show my work

Answers

Answer:

lol what are we even supposed to answer?

Step-by-step explanation: