Answer:
(i)Here ∠HGB=∠AGE(vertically opposite angles)
∠HGB=110
∘
Now, for parallel lines l and m, with transversal t.
∠HGB+∠GHD=180
∘
(Angles on the same side of the transversal are supplementary)
110
∘
+∠GHD=180
∘
∠GHD=180
∘
−110
∘
=70
∘
(ii)For parallel lines l and m with transversal a
∠AIE=∠CJI (corresponding angles)
⇒x=100
∘
Answer:
<h2> B. [2, 8].</h2>
Step-by-step explanation:
The domain refers to the set which values belongs to the independent variable (horixontal axis).
So, to find the domain with a graph, we need to look for the beginning and the end of the function. Then, we look for x-values at those points.
The beginning point is (2,9) and the ending point is (8,3).
So, the domain is from x=2 to x=8.
Therefore, the right answer is B. [2, 8].
In this case, both points have a filled circle, which means the intervals must be closed. In other words, 2 and 8 are part of the domain, and the way to express that is with ][ signs.
Answer:
3.
Step-by-step explanation:
Implicit differentiation:
x^2 y + (xy)^3 + 3x = 0
x^2 y + x^3y^3 + 3x = 0
Using the product rule:
2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0
2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0
dy/dx(x^2 + 3y^2x^3) = (-2xy - 3x^2y^3 - 3)
dy/dx= (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)
At the point (-1, 3).
the derivative = (6 - 81 - 3)/(1 -27)
= -78/-26
= 3.
Answer:
15
Step-by-step explanation:
The base would be 3*3, as it's a square. There are 4 triangles, and the area of each triangle is 1*3/2=1.5. 1.5*4+9=15.