4. 64/16 = 4. It drops 16 feet per second and 64 feet in total. It takes 4 seconds for a dropped object to fall 64 feet.
5. This one is a bit tricky, but the height would be 3. The formula would be 3 * 9 * 9. The width and length would both be 9. The height would be 3. 9 * 9 * 3 = 243. The volume of the rectangular prism would be 243 cubic centimeters.
6. Okay. Let’s see. 233 - 64 = 169. 169 squares is 13. The longest edge of the deck is 21 feet, because 13 + 8 = 21. Taylor will need 21 feet of railing for the longest edge of her deck.
Answer:
A = -1 - √6
B = -1 + √6
Step-by-step explanation:
To find the 2 roots for the algebraic expression below we use Almighty formula
x² + 2x - 5
Formula = -b ± √b² - 4ac/2a
Where: ax²+ bx + c
a = 1, b = 2, c = -5
Hence:
-2 ± √2² - 4 × 1 × -5/2 × 1
-2 ± √4 + 20/2
-2 ± √24/2
Finding the roots
-2 ± √4 × 6/2
-2 ± 2√6/2
Hence
-2/2 ± 2√6/2
-1 ± √6
-1 - √6 , -1 + √6
Therefore the two roots are
Option A = -1 - √6 and Option B = -1 + √6
Answer:
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Step-by-step explanation:
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Whenever you have a root of sqrt #, you must have the matching - (or positive).
This is because when you take a square root you get two solutions a positive and a negative.
The answer is LETTER A
Answer:
The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.
Step-by-step explanation:
Given:
Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.
Now, to find the weight of each animal:
Let the cat's weight be
And the kitten weight =
Total weight of cat and kitten = 18 pounds.
Now, to set an equation to get the weight of each animal:
<em>Multiplying both sides by 2 we get:</em>
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<em>Adding both sides by 6 we get:</em>
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<em>Dividing both sides by 3 we get:</em>
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<em>The weight of cat = 14 pounds.</em>
Substituting the value of to get the kitten's weight:
<em>The kitten's weight = 4 pounds.</em>
Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.