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
Answer:
6,489
Step-by-step explanation:
first you would multiply 7 and 9, which would be 63
7 x 9 = 63
then you would multiply 63 by 103 since they are being multiplied
63 x 103 = 6,489
Conversion from gallons to quarts
1 gallon = 4 quarts
Now,
Angela has
gallons =
= 10 quarts of blue paint
Ryou has 1/2 of what Angela has = 1/2*10 = 5 quarts of white paint.
Each wall requires
of paint.
After coloring;
Blue colored walls = (10)/(
) = 3 walls with 7/11 quarts of paint remaining.
White colored walls = (5)/(
) = 1 wall with 9/11 quarts of paint remaining
Distance traveled = 70 m
Number of rotations = 29
We know, Circumference * Number of rotations = Distance traveled
So, C = 70 / 29
C = 2.41 m
Now, we know, diameter = C / π
So, d = 2.41/3.14 = 0.768
In short, Your Answer would be: 0.8 m
Hope this helps!
