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OleMash [197]
3 years ago
6

Please help me find the remainders

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

Answer:

- 2 and 7

Step-by-step explanation:

A polynomial P(x) divided by (x + h) has remainder f(- h) ← remainder theorem

P(x) divided by (x + 5) has remainder P(- 5) = - 2 ( from result given )

P(x) divided by (x - 3) has remainder P(3) = 7 ( from result given )

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Find the prime factorizations foor the following numbers 36 and 84
Varvara68 [4.7K]
Answer:

36 = 2² * 3²
84 = 2² * 3 * 7


Explanation:

Pf of 36 = 2 * 2 * 3 * 3 which then becomes 2 (to the power of 2) times 3 (to the power of 2)

Pf of 84 = 2 * 2 * 3 * 7 which then becomes 2 (to the power of 2) * 3 * 7

If this helps it would be greatly appreciated if you thanked me.
6 0
4 years ago
What is the side length of the largest square that can fit into a circle with a radius of 5 units?
Mariana [72]
So 1st consider that it's a square! That's very important. So for a square, all 4 sides are equal.

And now considering that the given information is the diameter. So any angle made at the circle extended from the 2 points of diameter gives an angle of 90°

Now consider one triangle. So we already know that 2 sides of the triangle are equal (because they are 2 sides of a square) , has a side of 10 (diameter) and and angle of 90°. So remaining 2 angles are 45°

Now solve it by applying

\sin(45) \: \: \: \: = x \div 10 \\ (1 \div \sqrt{2} ) = (x \div 10) \\ 10 \div \sqrt{2} \: = x
5 0
3 years ago
The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference
Naya [18.7K]

Answer:

20.3 units

Step-by-step explanation:

Write and solve an equation involving ratios:

 5 units       15.7 units

------------- = ----------------

 9 units             C

Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."

Then 5C = 141.3, so that C = 141.3 units   /   5   =   20.3 units.

5 0
3 years ago
Read 2 more answers
Sandra can type 180 words in 3 minutes. At this rate, how many words can she type in 5 minutes?
mezya [45]
180 divided by 3 = 60

60 x 5 = 300

she can type 300 words in 5 minutes
5 0
3 years ago
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What is the measure of &lt;5<br> &lt;5=
CaHeK987 [17]

Answer:

700

Step-by-step explanation:

5 0
3 years ago
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