Answer:
Step-by-step explanation:
<u>Distance From a Point to a Line</u>
Given a line with an equation
:
ax + by + c = 0
And the point
The distance from the line to the point is given by
The triangle has a vertex at (1,-2) and the base lies on the equation
x + y = 3
Rearranging:
x + y - 3 = 0
The altitude of the triangle is the distance from the point to the line.
The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:
Rationalizing:
The altitude of the triangle is
Answer:
1
Step-by-step explanation:
2
Answer: 5
Step-by-step explanation: -10 + 5 = -5
Answer:
x = 1 and x = -1
Step-by-step explanation:
Next time, please separate the equations with a comma or semicolon. Thanks.
We can substitute 4x for y in the quadratic equation x^2 + y^2=17:
x² + (4x)²=17.
Then x² + 16x² = 17, or
17x² = 17, or x² = 1. There are two solutions: x = 1 and x = -1.
Answer:
490
Step-by-step explanation:
because the 7 (last digit) is not less than 5, it rounds up to 490