What two numbers add up to 6 but multiply to 1

Answers

Answer 1
Answer: The two numbers (rounded) are

5.84823 and 0.17157

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A coin is tossed 5 times in a row. What is the size of the sample space of this experiment?

Answers

Answer:  

Therefore, Size of the sample space = 32

Step-by-step explanation:

Number of times a coin is tossed up = 5

Number of possible outcomes in a toss of a coin = 2 ( Head or a Tail)

The sample space can be calculated by calculating total number of possible outcomes in 5 tosses of the coin.

Number of outcomes in 1 toss of a coin = 2

Number of outcomes in 2 tosses of a coin = 2 × 2

Number of outcomes in 3 tosses of a coin = 2 × 2 × 2

Number of outcomes in 4 tosses of a coin = 2 × 2 × 2 × 2

Number of outcomes in 5 tosses of a coin = 2 × 2 × 2 × 2 × 2

⇒ Total number of outcomes = 32

Therefore, Size of the sample space = 32

the answer is 32.

you get this by raising 2 to the 5th power

True or false the image of the point (-8,-5) under a reflection across the y-axis is (8,-5)

Answers

False. A reflection over the y-axis would result in: (-8,5)

On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).What is the area of parallelogram ABCD?

Answers

Answer: The area is about  13.01.

Step-by-step explanation:

so to do this we need to find the distance between these  points.And we do that by using the Pythagorean rule a^2 + b^2=C^2

(3,6) and (6,5)

3^2  + 1^2 = c^2

c= √(10)

(6,5) and (5,1)

1^2 + 4^2= √(17)

√(10) * √(17)= 13.038

Write the equation of the parabola with a focus (-1 4) and directrix y = 3

Answers

parabola
4P(y-k)=(x-h)^2
where (h,k) is vertex
P is distance from vertex to focus which is also equalt to distance from vertex to directix

we plot those points and see it opens up (don't cross directix)
P is positive
from 4 to 3 is a distace of 1
1/2=1/2
P=1/2
3+1/2=3.5
the vertex is (-1,3.5)

4(1/2)(y-3.5)=(x+1)^2
2(y-3.5)=(x+1)^2

put in vertex form (solve for y)
divide both sides by 2
y-3.5=(1/2)(x+1)^2
add 3.5
y=(1/2)(x+1)^(2)+3.5

How long a line can you make using all the 3/8 inch strips

Answers

The length of the line calculated by using 3 / 8-inch strip will be ( 3/8 )x

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The total amount of line that the line will have depends on the number of strips, and the result is equal to the multiplication of the number of strips, x, and the length of the strips by 3/8 inch

Total length = ( 3/8 )x

where x is the number of strips, and the total length is in inches

Therefore the length of the line calculated by using 3 / 8-inch strip will be ( 3/8 )x.

To know more about expression follow

brainly.com/question/723406

#SPJ2

the total amount of lenght that the line will have depends on the amount of strips, and the result is equal to the multiplication of the amount of strips, x, and the length of the strips 3/8 inch

total_length = (3/8)x

where x is the amount of strips, and the total length is in inches

Can you guys please help me solve these

Answers

Answer:

See explanation below

Step-by-step explanation:

In all cases you need to isolate x on one side of the inequality symbol using inverse operations.

1.-

15+x\leq -45\n15-15+x\leq -45-15\nx\leq -60

where we subtracted from both side 15 in order to leave x by itself on the left.

2.-

x-14>12\nx-14+14>12+14\nx>26

where we added 14 in order to isolate x on the left

3.-

In this case we need to divide both sides by -5 in order to isolate the x which is being multiplied by the factor -5, but he have to recall that multiplying or dividing by a negative number changes the direction of the inequality symbol (in our case from <  into > )

-5x<35\n(-5\,x)/(-5) >(35)/(-5) \nx>-7

4.-

2x>-42\n(2\,x)/(2) >(-42)/(2) \nx>-21

In this case we simply divide both sides by two, and there is no change in the direction of the inequality because the number we are using to divide is a positive number (2)