Answer:
Part A
a·(a² - a + 1) + 5·a = a³ - a² + 6·a
Part B
The value of a·(a² - a + 1) + 5·a, for a = -2 is -24
Step-by-step explanation:
Part A
The given function is a·(a² - a + 1) + 5·a
The function is simplified by expanding the product of sums into sums of products, as follows;
a·(a² - a + 1) + 5·a = a × a² - a × a + a × 1 + 5·a = a³ - a² + a + 5·a = a³ - a² + 6·a
The function, a·(a² - a + 1) + 5·a, in simplified format is therefore;
a·(a² - a + 1) + 5·a = a³ - a² + 6·a
Part B
When a = -2, we get;
(a³ - a² + 6·a)
= (-2)³ - (-2)² + 6·(-2) = -8 - 4 - 12 = -24
Let’s change all of the denominators to be 48. He now have 6/48+40/48+20/48, or 66/48. This becomes 33/24, and in total 5+33/24, or 6 and 9/24. 9/24 becomes 3/8, so your answer is B.
Answer:
No Options
∠QOB=45º
Step-by-step explanation:
we have that: point O=Incenter, sides S, Q, R they form right angles with the point O, angle OBC = 15º and angle OCR=30º, find angle QOB
we know that the sum of all the internal angles of a triangle is 180º, so
α =180-30-15-90=45º and β = 180-90-α → β = 180-90-45 =45º,
Finally β=∠QOB=45º
180
The exterior angle of a triangle + the adjacent interior angle are supplementary, that is sum to 180°, thus
the exterior angle = 180 - adjacent interior angle
Answer:
Step-by-step explanation:
Dessrt A= 800000
Desert B=200000