Answer:
Step-by-step explanation:
ummmmmmmmmmm sorry
The dimensions would be x and x+6. The area is 216.
x(x+6) = 216
x^2 + 6x - 216 = 0
(x-12)(x+18) = 0
x = 12---Yes---
x = -18---No, sides cannot be negative---
If one side is 12, the other side is 18. To check:
12 * 18 = 216
216 = 216
Correct
Answer:
B. g(x) = (x-2)^2 +1
Step-by-step explanation:
When you see this type of equation your get the variables H and K in a quadratic equation. In this case the (x-2)^2 +1 is your H. The (x-2)^2 +1 is your K.
For the H you always do the opposite so in this case instead of going to the left 2 times you go to the right 2 times (affects your x)
For the K you go up or down which in this case you go up one (affects your y)
And that's how you got your (2,1) as the center of the parabola
-Hope this helps :)
Answer:
139
Step-by-step explanation:
Inside angles of a triangle = 180 degrees
61 + 78 = 139
180 - 139 = 41
unknown interior angle = 41 degrees
So m<1 = 139
(Or just add the two interior angles together)
Answer:
OG = 8.7
Step-by-step explanation:
The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.
The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.
OG² = OH² +GH²
OG² = 6² +6.3² = 75.69
OG = √75.69 = 8.7
The length of OG is 8.7 units.
______
<em>Additional comment</em>
You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).
