Answer: OPTION A
Step-by-step explanation:
The equation of the line in slope-intercept form is:
Where m is the slope and b the y-intercept.
Solve for y from each equation:
As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.
Hello!
To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:
- Find the negative reciprocal using the slope of the given function
- Substitute the given ordered pair into the new equation with the slope found in step 1
Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.
In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.
To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.
Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.
y = -1/3x + b (6, 8)
8 = -1/3(6) + b
8 = -2 + b (add 2 to both sides)
10 = b
Therefore, the equation of the line is y = -1/3x + 10.
Answer:
Step-by-step explanation:
-8x - 8y = -20
8x + 8y = 24
0 ≠ 4
2y = -2x + 10
y = -x + 5
8y = -8x + 24
y = -x + 3
inconsistent
First expand the brackets which will give you
then factor them
1. A polynomial means it has more than one term.
a. has 4 terms
b. has 1 term (not a POLYnomial)
c. has 3 terms
d. has 2 terms
2. The first word in a polynomial description tells the degree (max amount of exponents) of the expression, and the second word tells how many terms it has.
a. This answer means it's maxed exponent is to the fourth power, which it's not. (WRONG)
b. This answer means that it has a max exponent to the third power, which is true, and it also says it has three terms, which is also true. (CORRECT)
3. You must combine like terms in this polynomial.
=> 14x^2 - 6x^2 =8x^2
=> 5x + 2x = 7x
=> -8
d. This answer combines all the terms correctly.
4. To simplify this equation, you must first distribute the negative to all of the second equation.
(4x^2 -3x+2) + (-2x^2-5x+7)
Now, combine like terms.
=>4x^2 - 2x^2 = 2x^2
=>-3x - 5x = -8x
=>2 + 7 = 9
d. This answer simplifies it correctly
