Find an equation of the line having the given slope and containing the given point.Slope is -2
Line through (5, -6)
Answers
Answer:
y = -2x + 4
Step-by-step explanation:
Pre-Solving
We are given that a line has a slope (m) of -2 and passes through (5, -6).
We want to write the equation of the line.
There are three ways to write the equation of the line:
- Slope-intercept form, which is y=mx+b, where m is the slope and b the value of y at the y-intercept.
- Standard form, which is ax+by=c, where a, b, and c are free integer coefficients.
- Point-slope form, which is
, where m is the slope and
is a point.
Any of these forms will work, however let's put it into slope-intercept form as that is the most common way.
Solving
As we are already given the slope, we can immediately plug that into the equation.
Substitute m with -2.
y = -2x + b
Now, we need to solve for b.
As the equation passes through (5, -6), we can use its values to help solve for b.
Substitute 5 as x and -6 as y.
-6 = -2(5) + b
Multiply.
-6 = -10 + b
Add 10 to both sides.
4 = b
Substitute 4 as b.
y = -2x + 4
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What angle does half a pie form
Answers
Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│
Answers
Answer:
B. No, the remainder is -50.
General Formulas and Concepts:
Algebra I
- Roots are when the polynomial are equal to 0
Algebra II
- Synthetic Division
Step-by-step explanation:
Step 1: Define
Function f(x) = x³ - 10x² + 27x - 12
Divisor/Root (x + 1)
Step 2: Synthetic Division
See Attachment.
To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.
Please excuse the bad handwriting. Hope this helped!
b. partitioning.
c. factoring.
d. replicating.
Answers
Answer:
replicating
Step-by-step explanation:
Answers
Answer:
Salma should land her spinner on a 1, 2 or 3 about 600 times.
Step-by-step explanation:
Since Salma has a spinner divided into 8 equal sections, and each section is bered with a number 1 through 8, and Salma is going to spin the spinner 1600 times, to determine, theoretically, how many times should she land on a 1, 2, 3 the following calculations must be performed:
8 = 100
3 = X
3 x 100/8 = X
300/8 = X
37.5 = X
100 = 1600
37.5 = X
37.5 x 1600/100 = X
60000/100 = X
600 = X
Therefore, Salma should land her spinner on a 1, 2 or 3 about 600 times.
Answers
Answers
18,575 + 1,374.55 = 19,949.55
19,949.55 + 795 + 110 = 20,854.55
20,854.55 divided by 5 = 4,170.91
4,170.91 divided by 12 = 347.58
347.58 x 12.77% = 44.39
347.58 + 44.39 = 391.97
i am assuming that is the answer but since is see that you have 439.12 as an answer im not so sure
Answer:
$439.12
Step-by-step explanation: