Answer:
In the function g(x) = 4x² + 1, <em>4</em> means that all the points in the parent function were multiplied by 4. <em>+ 1 </em>means that the parent graph will shift up by 1.
Answer:
0.5%
Step-by-step explanation:
A shop keeper sells an article for 400
He purchases it for 402.
Therefore, loss = cost price - selling price
402 - 400 = 2
% loss =
loss/cost price x 100%
2/402 x 100%
= 200/402
=0.498
=0.5%
Answer:
0.8
Step-by-step explanation:
hope this helps
Answer:
• c = √89 ≈ 9.434
• A = arcsin(8/√89) ≈ 57.995°
• B = arcsin(5/√89) ≈ 32.005°
Step-by-step explanation:
By the law of cosines, ...
c² = a² + b² -2ab·cos(C)
Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.
c = √(8² +5²) = √89 ≈ 9.434
Then by the law of sines (or the definition of the sine of an angle), ...
sin(A) = a/c·sin(C) = a/c = 8/√89
A = arcsin(8/√89) ≈ 57.995°
sin(B) = b/c·sin(C) = b/c = 5/√89
B = arcsin(5/√89) ≈ 32.005°
In order to visualize the transformations, we must execute the transformation in the options
The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.
The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,
So, the answer is the second option.
