What’s the slope of -1,-10 and -1,-2
1 answer:
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To prove that the given triangle is an isosceles, two of its sides must have equal lengths.
Between D(2,-5) and E(6,-1):
d = √(6 - 2)² + (-1 - ⁻5)² = 4√2
Between E(6,-1) and F(5,6):
d = √(5 - 6)² + (6 - ⁻1)² = 5√2
Between D(2,-5) and F(5,6)
d = √(5 - 2)² + (6 - ⁻5)² = √130
<em>Since there are no equal lengths, the triangle is NOT an isosceles triangle.</em>
The bisector of angle F is a line segment from vertex F to the midpoint of line DE.
Midpoint: x = (2+6)/2 = 4; y = (-5+-1)/2 = -3
The midpoint is at (4,-3).
The equation of the line follows the point-slope formula:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
Substituting using points (5,6) and (4,-3)
y - 6 = [(⁻3 - 6)/(4 - 6)](x - 5)
y - 6 = (9/2)(x - 5)
2(y - 6) = 9(x - 5)
2y - 12 = 9x - 45
<em>2y - 9x = -33 </em>
Between D(2,-5) and E(6,-1):
d = √(6 - 2)² + (-1 - ⁻5)² = 4√2
Between E(6,-1) and F(5,6):
d = √(5 - 6)² + (6 - ⁻1)² = 5√2
Between D(2,-5) and F(5,6)
d = √(5 - 2)² + (6 - ⁻5)² = √130
<em>Since there are no equal lengths, the triangle is NOT an isosceles triangle.</em>
The bisector of angle F is a line segment from vertex F to the midpoint of line DE.
Midpoint: x = (2+6)/2 = 4; y = (-5+-1)/2 = -3
The midpoint is at (4,-3).
The equation of the line follows the point-slope formula:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
Substituting using points (5,6) and (4,-3)
y - 6 = [(⁻3 - 6)/(4 - 6)](x - 5)
y - 6 = (9/2)(x - 5)
2(y - 6) = 9(x - 5)
2y - 12 = 9x - 45
<em>2y - 9x = -33 </em>
Answer:
$1.70
Step-by-step explanation:
Let the number of nickels be .
Thus, by the problem statement, the number of dimes is [/tex] 8 \cdot x = 8x. [/tex]
Therefore, there are coins in total. To find what
is, we need to solve the equation
This can be done by dividing both sides by
which gives
. Plugging these values in tells us that there are
nickels and
dimes. (Test it out!) Thus, the nickels are worth
cents and the dimes are worth
cents, so in all, you have
cents which is $1.70.
Hope this helps :)