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3 years ago

What is an equation of the line in slope intercept form? m = 4 and the y-intercept is (0, 5) (1 point)?

Mathematics

2 answers:

pishuonlain [190]3 years ago

4 0

The equation for this is y= 4x+5

Lapatulllka [165]3 years ago

3 0

Answer:

$y=4x+5$

Step-by-step explanation:

Mathematically, the slope m of a line is:

$m=\frac{\Delta y}{\Delta x} = \frac{y-y_o}{x-x_o}$

Therefore, if we know the slope m of the line and a point $(x_o , y_o)$ we will be able to find its equation simply solving for y:

$y-y_o=m(x-x_o)$

Replacing the data provided by the problem:

$y-5=4(x-0)\\\\y-5=4x\\\\y=4x+5$

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Tell whether the angles are complementary or supplementary. Then find the value of x.

marissa [1.9K]

Answer:

this one is supplementary and x equals 31

Step-by-step explanation:

Remember, complementary angles add up to equal 90 degrees whereas supplementary angles add up to equal 180 degrees.

In this case, since your angles together form a straight line, they're supplementary angles. Now, to solve for x:

(3x + 25) + 2x = 180 (step 1: set the equation equal to 180)

5x + 25 = 180 (step 2: combine like terms)

-25 -25 (step 3: subtrace 25, BS)

5x = 155

5x / 5 = 155 / 5 (step 4: divide by 5, BS to get x by itself)

x = 31

7 0

2 years ago

What is the value of x ?

Eduardwww [97]

The other side of 100° is 80 and 80 + 70 = 150

A triangle equals to 180 so..

180 - 150 = 30

The value of x is 30.

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3 years ago

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xenn [34]

Step-by-step explanation:

You have $7,000 in your savings account gaining 4% interest per year. If you don't replace the $800 in the savings account

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2 years ago

The instructions on a bottle of laundry detergent tell you to add two capfuls of detergent to each gallon of water. One capful o

Nikolay [14]

Answer:

A.You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water

B. You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water

Step-by-step explanation:

1. Let's review all the information provided to answer the question:

2 capfuls of detergent to 1 gallon of water

1 capful of detergent = 1 tablespoon

2. If your washing machine holds 11 gallons of water, how many tablespoons of detergent will you need to add? How many fluid ounces of detergent?

For finding the amount of capfuls for 11 gallons of water, we multiply this way:

11 * 2 = 22 capfuls of detergent

Now, we can calculate the number of tablespoons, this way:

22 capfuls = 22 tablespoons

You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water

Fiinally, let's calculate the amount of fluid ounces of detergent, this way:

1 tablespoon = 0.5 fluid ounces

22 tablespoons * 0.5 = 11 fluid ounces

You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water

4 0

3 years ago

Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 333 transportation opti

sukhopar [10]

The event "Atleast once" is the complement of event "None".

So, the probability that Marvin teleports atleast once per day will the compliment of probability that he does not teleports during the day. Therefore, first we need to find the probability that Marvin does not teleports during the day.

At Morning, the probability that Marvin does not teleport = 2/3

Likewise, the probability tha Marvin does not teleport during evening is also 2/3.

Since the two events are independent i.e. his choice during morning is not affecting his choice during the evening, the probability that he does not teleports during the day will be the product of both individual probabilities.

So, the probability that Marvin does not teleport during the day = $\frac{2}{3}*\frac{2}{3}=\frac{4}{9}$

Probability that Marvin teleports atleast once during the day = 1 - Probability that Marvin does not teleport during the day.

Probability that Marvin teleports atleast once during the day = $1-\frac{4}{9}=\frac{5}{9}$

5 0

3 years ago