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2 answers:
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Answer <u>(assuming it can be in point-slope form)</u>:
Step-by-step explanation:
Use the point-slope formula to write the equation of the line in point-slope form. All you need to do is substitute
,
, and
for real values.
Since represents the slope, substitute 6 in its place. Since
and
represent the x and y values of one point the line intersects, take the x and y values of (2,7) and substitute them into the formula as well. So, substitute 2 for
and 7 for
. This gives the following equation and answer:
Answer:
The standard form of the equation is 49t² - 75t + 3 = 0
The solution of the equations are 1.49 and 0.041
Step-by-step explanation:
* Lets explain how to solve the problem
- The standard form of the quadratic equation is ax² + bx + c = 0,
where a , b , c are constant and a can not be 0
∵ The quadratic equation is -4.9t² + 7.5t + 1.8 = 2.1
- Lets make the left hand side equal to 0
∵ -4.9t² + 7.5t + 1.8 = 2.1 ⇒ subtract 2.1 from both sides
∴ -4.9t² + 7.5t - 0.3 = 0 ⇒ multiply each term by -10
∴ 49t² - 75t + 3 = 0
* The standard form of the equation is 49t² - 75t + 3 = 0
∵ ax² + bx + c = 0
∴ a = 49 , b = -75 , c = 3
- Lets use the formula to solve
the equation
∴
∴
* The solution of the equations are 1.49 and 0.041