Answer:
2) x = -2
, y = 2
3) no solution exists
Step-by-step explanation:
Solve the following system:
{-2 x - 3 y = -2
y = 2 x + 6
Hint: | Perform a substitution.
Substitute y = 2 x + 6 into the first equation:
{-2 x - 3 (2 x + 6) = -2
y = 2 x + 6
Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.
-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Isolate terms with x to the left hand side.
Add 18 to both sides:
{-8 x = 16
y = 2 x + 6
Hint: | Solve for x.
Divide both sides by -8:
{x = -2
y = 2 x + 6
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 2
The histogram which shows the results of the time trial is option B
<h3>Histogram</h3>
Given data:
12:32, 12:46, 13:30, 15:03, 13:43, 13:46, 14:20, 14:29, 12:34, 14:43, 15:26, 16:02, 16:16, 14:38, 16:55, 17:10, 14:26, 17:21, 17:58, 13:30
Grouping of data,:
12:00 - 12:59 = 3
13:00 - 13:59 = 4
14:00 - 14:59 = 5
15:00 - 15:59 = 2
16:00 - 16:59 = 3
17:00 - 17:59 = 3
- The frequency is represented on the y-axis(number of cyclist)
- The time is represented on the x-axis
Learn more about histogram:
brainly.com/question/9388601
#SPJ1
Answer:
Bring 3x to the left: −3x + y = 2. Multiply all by −1: 3x − y = −2. Note: A = 3, B = −1, C = −2. This form: Ax + By + C = 0. is sometimes called "Standard Form", but is more properly called the "General Form".
Step-by-step explanation:
dat is only exsample so i thingk i help u
First, lets note that
. This leads us with the following problem:
Lets add sin on both sides, and we get:
Now if we divide with sin on both sides we get:
Now we can remember how cot is defined, it is (cos/sin). So we have:
Now take the inverse of cot and we get:
In general we have
, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:
