Write an equation of a line that is parallel to the line whose equation is 3y=x+6 and that passes through the point (-3,4).

Answers

Answer 1

Answer: The standard form of this equation is

$y=(1)/(3)x+2$

The slope of two parallel lines i the same, so the slope of the line we're looking for is also $(1)/(3)$

Since the line passes through $(-3,4)$ , the equation is:

$(y-4)=(1)/(3)(x+3)$

$\boxed{y=(1)/(3)x+5}$

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y=3x-10
y=3x-2
y=3x+2
y=3x+10

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

A Fair coin is flipped four times. Find: The probability it will land up heads each time.

Answers

If a fair coin is flipped four times, the probability that in all 4 trials, the coin will land up heads is: 1/16. The solution is to multiply the probability of getting a head 4 times. 1/2 * 1/2 * 1/2 * 1/2 = 0.0625 = 1/16

Answer:

1/6

Step-by-step explanation:

Express the fractions 1/2, 3/16, and 7/8 with an LCD

Answers

LCD of 2 16 and 8 is definitely 16.

1/2 = (1/2)*(16/16) = 8/16

3/16 = (3/16)*(16/16) = 3/16

7/8 = (7/8)*(16/16) = 14/16

Write a system of equations with a solution (4,–3)

Answers

1. So we have the system of equation. (4, -3)
let’s create another system of equation.
Let a = 4
and Let b = -3
First equation
=> Let’s pick any numbers to be used. Let’s have number 5
=> 5a + 5b
=> 5 (4) + 5 (-3)
=> 20 + (-15)
negative and positive is equals to negative
=> 20 – 15
=> 5 (this the first value of our equation, let this be the value of X)

Second
=> Pick another number, Let’s have 6
=> 6a + 6b
=> 6 (4) + 6 (-3)
=> 24 + (-18)
=> 24 – 18
=> 6 (this is the value of our second equation, let this value be Y)

Now, we have (A, B) = (4, -3) and (X, Y) = (5,6)

Answer:

A linear equation can be written in several forms. "Standard Form" is #ax+by=c# where #a#, #b# and #c# are constants (numbers).

We want to make two equations that

(i) have this form,

(ii) do not have all the same solutions (the equations are not equivalent), and

(iii) #(4, -3)# is a solution to both.

#ax+by=c#. We want #a#, #b# and #c# so that

#a(4)+b(-3)=c# (This will make (i) and (iii) true.)

Step-by-step explanation:

Another term for mean is the arithmetic mean. Why is this so?

Answers

Answer:

It helps distinguish it from other means, such as the geometric mean and the harmonic mean. When someone asks for the average of a group of numbers, they’re most likely asking for the arithmetic mean. An arithmetic mean is calculated by adding several quantities together and dividing the sum by the number of quantities.

Step-by-step explanation:

I got a 100% for this answer :)

It is preferred in different contexts because it helps distinguish it from other means.

D = -38t + 220Rachel is driving a race car at a constant speed on a closed course. The formula shown above describes the remaining distance, D, measured in meters, that Rachel has to travel after t seconds. What is Rachel's speed in meters per second?

Answers

Rachel's speed is 38 m/s.

What is Equation?

Equations are mathematical statements with twoalgebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

D = -38t + 220

So, t = 1

D = -38t + 220

D = -38(1) + 220

D = -38+ 200

D = 182 m

So, v = $(D_0 - D_1)$ / t