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julsineya [31]
2 years ago
6

Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equat

ion of the line. a. m = 2; y intercept = (0, 4); y = 2 x + 4 b. m = negative 2; y intercept = (0, 4); y = negative 2 x + 4 c. m = negative 2; y intercept = (4, 0); y = negative 2 x + 4 d. m = 2; y intercept = (0, 4); y = 4 x + 2
Mathematics
1 answer:
Nadya [2.5K]2 years ago
6 0

9514 1404 393

Answer:

  a.  m = 2; y intercept = (0, 4); y = 2 x + 4

Step-by-step explanation:

The slope can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (18 -4)/(7 -0) = 14/7

  m = 2

The y-intercept is the first given point: (0, 4).

The equation for the line in slope-intercept form is

  y = mx + b

Here, we have m=2 and b=4, so the equation is ...

  y = 2x +4

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The measure of one angle is 32° less than the measure of its supplement. Write an equation and solve it to find the measurements
Sergeu [11.5K]

Let's make variables for two angles first. One angle will be x, and the other will be y.

Since they're supplementary, we know x + y = 180

We also know x = y - 32, since it's 32 degrees less than it's supplement.

Input the value of x into the first equation and...

y - 32 + y = 180

2y - 32 = 180

Add 32 to both sides:

2y = 212

Divide both sides by 2:

y = 106

We can solve for x in two ways.

One, we can subtract 32 from 106 since x is 32 degrees less.

Or, we could also just subtract 106 from 180 since we know the angles are supplementary.

x = 74

74 degrees and 106 degrees. The equation is y - 32 + y = 180, or x + y = 180

5 0
3 years ago
Given the expression 3x^(2)y + 4xy + 1 – 5x^(4)y – 6y, do the following as instructed below: a. Write the polynomial in descendi
MissTica
-5x^4y + 3x^2y + 4xy - 6y + 1 is descending order of it, the degree of the polynomial is 4 because the highest power is 4, but classifying it I do not know sorry gonna have to get someone else to answer that part
5 0
3 years ago
Find the sum +5+(-2)
Nana76 [90]

Answer: +3

Step-by-step explanation: The answer is positive 3 because if you look on a number line, you will only move 3 spaces to the right. You could also look as this problem as a subtraction problem. 5-2=3. Tip: While adding positive and negative numbers, look at the bigger number in the problem. In this case it's 5. The five is positive so the answer is positive. If the five were to be negative, the answer would be negative. In adding the larger number dictates whether the sum will be positive or negative.

4 0
3 years ago
Explain how to solve a system of equations using the addition method. Use 3x - 4y=12 and 2x+y=8 to illustrate.
DerKrebs [107]

The solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two equations:

3x - 4y=12 and

2x+y=8

Multiplu by 4 on both side in equation  2x+y=8

8x + 4y = 32

Add the equaton 8x + 4y = 32 and 3x - 4y=12

3x - 4y=12

8x + 4y = 32

11x = 44

x = 4

Similarly, we can find the value of y:

y = 0

Thus, the solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0
1 year ago
I need the complete answer to this problem, please circle the final answer and what I should write
goblinko [34]

Answer:

f(t) = 8400(1.0018)^{12t}

2.22%

Step-by-step explanation:

$8400 is invested in an account earning 2.2% interest (APR), compounded monthly.

So, the value of the account after t years will be given by  

f(t) =  8400 (1 + \frac{2.2}{12 \times 100} )^{12t} = 8400(1.0018)^{12t}        {Rounded to the four decimal places} (Answer)

Now, for t = 1 year, f(1) = $8586.67

So, the percentage of growth per year (APY) = \frac{(8586.67 - 8400) \times 100}{8400} = 2.22% {Rounded to the nearest hundredth of percent} (Answer)

5 0
2 years ago
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