Answer:
3
+ 11a³ - 7a² + 18a - 18
Step-by-step explanation:
<u>When multiplying with two brackets, you need to multiply the three terms, (a²), (4a) and (-6) from the first bracket to all the terms in the second brackets, (3a²), (-a) and (3) individually. I have put each multiplied term in a bracket so it is easier.</u>
(a² + 4a - 6) × (3a² - a + 3) =
(a² × <em>3a²</em>) + {a² × <em>(-a)</em>} + (a² × <em>3</em>) + (4a × <em>3a²</em>) + {4a × <em>(-a)</em>} + (4a × <em>3</em>) + {(-6) × <em>a²</em>) + {(-6) × <em>(-a)</em>} + {(-6) × <em>3</em>}
<u>Now we can evaluate the terms in the brackets. </u>
(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3} =
3 + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)
<u>We can open the brackets now. One plus and one minus makes a minus. </u>
3 + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =
3 -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18
<u>Evaluate like terms.</u>
3 -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3 + 11a³ - 7a² + 18a - 18
Pythagorean theorem is all about squaring the numbers. the equation is a^2+b^2=c^2
when you know two sides of the triangle, you fill in those spaces. they hypotenuse is ALWAYS ‘c’
to figure this problem out you put
a as 4
keep b as b since you don’t know what it is
c as 6
4 squared=16
6 squared=36
16+b^2=36
36-16=20
square root of 20 is 4.47
Answer:
Y= 1/2 cos4X (Option 3)
Step-by-step explanation:
It cuts axis at 0.5
Hi!
46 out of 200 are short haired, which means that 200 - 46 = 154 out of 200 are not short haired. In percentages, that is:
154/200 = 77/100 = 77%
Hope this helps!
Given:
The figure of a right triangle.
To find:
The length of AB.
Solution:
In a right angle triangle,
Using this trigonometric ratio for the given triangle, we get
Therefore, the length of AB is 5 units.
