Answer:
15
Step-by-step explanation:
The formula for distance when given vertices is
√(x2 - x1)² + (y2- y1)²
Where we have points (x1,y1) and (x2,y2)
So, (-2,7) and (3, -3)
Distance = √(3 -(-2))² + (-3 -7)²
= √5² + (-10)²
= √25 + 100
= √125
= 15
Therefore, the distance between (-2,7) and (3, -3) is 15
Answer:
Step-by-step explanation:
The two smaller angles add up to the measure of the total angle, so
(like a lot of geometry) it is really just an Algebra 1 problem with a nice picture to go with it ---> (5x + 13°) + (3x + 33°) = 70°
8x + 46° = 70°
8x = 24°
x = 3°
There is no actual question shown, but I imagine you want one or more of the following:
x = 3°
∠ABC = 3(3°) + 33° = 9°+ 33° = 42°
∠CBD = 5(3°) + 13° = 15° + 13° = 28°
Hope this helps.
Answer:
2x² + 2x + 3
Step-by-step explanation:
x = 3 is a zero of both the numerator and the denominator, so the denominator will factor completely into the numerator with no remainder. Using grouping to factor:
(2x³ − 4x² − 3x − 9) / (x − 3)
(2x³ − 4x² − 6x + 3x − 9) / (x − 3)
(2x (x² − 2x − 3) + 3x − 9) / (x − 3)
(2x (x − 3) (x + 1) + 3 (x − 3)) / (x − 3)
2x (x + 1) + 3
2x² + 2x + 3
To use long division instead, see image.