Step-by-step explanation:
Answer:
AG = 10
GD = 5
CD = 12
Step-by-step explanation:
Centroids divide a median (like AD) into two segments that are in a 2:1 ratio. That's the centroid's special power. So if AD is a total of 15 units long, then dividing it into two segments in a 2:1 ratio means the long side is 10 and the short side is half that, or 5, which checks out because 10+5 = 15.
Now you have GD = 5, and you also know that angle GDC is 90 degrees, so you know triangle GDC is a right triangle, which means it obeys the Pythagorean Theorem.
so CD² + GD² = CG²
so CD² + 25 = 169
CD² = 144
CD = 12
Answer:
-√6 -0.95 √32/8 4/5 2.9 √9
Step-by-step explanation:
4/5, √9, -0.95, √32/8, 2.9, - √6
4/5 = 0.8
√9 = 3
√32/8 = 4√2 / 8 = √2/2 = 0.707
-√6 = -2.449
-√6 -0.95 √32/8 4/5 2.9 √9
Answer:
The answer to your question is Center = (-1, 2) Radius = 2
Step-by-step explanation:
Data
x² + y² + 2x - 4y + 1 = 0
Process
1.- Group like terms
(x² + 2x ) + (y² - 4y ) = -1
2.- Complete Perfect square trinomials
(x² + 2x + 1²) + (y² - 4y + 2²) = -1 + 1² + 2²
3.- Simplify
(x + 1)² + (y - 2)² = 4
4.- Get the center and the radius
Standard equation (x - h)² + (y - k)² = r²
Center = (h, k)
Center = (-1, 2)
Radius = 2
Given:
Drawing a vowel from letter tiles that spell out MATHEMATICS.
Chances =
To find:
The correct values for the blanks.
Solution:
Vowels are a, e, i, o, u.
In MATHEMATICS, the vowels are A, E, A, I.
Number of vowels = 4
We know that,
So, the chance of drawing a vowel from letter tiles that spell out MATHEMATICS is .
Blank 1: 1
Blank 2: 4
Therefore, the value for blank 1 is 1 and the value for blank 2 is 4.