Answer:
7x - y = 5
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Obtain the equation in point- slope form and rearrange into standard form.
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 7 and (a, b) = (1, 2)
y - 2 = 7(x - 1) ← in point- slope form
y - 2 = 7x - 7 ( subtract y from both sides )
- 2 = 7x - y - 7 ( add 7 to both sides )
5 = 7x - y , that is
7x - y = 5 ← in standard form
Answer:
<STR = 38degrees
Step-by-step explanation:
Find the diagram attached
Complete Question:
In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?
Sicne triangle STR is isosceles, hence the base angles are equal. Let the base angles be y
y+y+104 = 180
2y = 180-104
2y = 76
y = 38degrees
Since <STR = y, hence the measure of <STR = 38degrees
The best way to solve this equation is to simplify it. So first you’ll distribute the -2 on the left side. This will give you the equation -2t+8=10-2t. Now you bring t to one side by adding 2t to both sides. You will find that t cancels out and you are left with 8=10. Since this statement isn’t true there are no solutions to this equation.
Step-by-step explanation:
Any lines that are parallel to each other have the same slope (coefficient of x is the same)
In this case, y = 2x + c.
Since it includes the point (0, 1), the y-intercept is 1 and that is c itself.
Hence, the equation of the parallel line is y = 2x + 1.
Answer: 1/8
Step-by-step explanation:
Number of red marbles = 12
Number of blue marbles = 8
Number of yellow marbles = 4
Total number of marbles = 24
Probability of getting red = 12/24 = 1/2
The probability of getting three reds with replacement will be:
= 1/2 × 1/2 × 1/2
= 1/8
