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aksik [14]
3 years ago
6

Princess Poly found the king's stash of garden plans and sees that the area of each plot is described as a polynomial. She has n

ew fencing to put around the gardens, but each section of fencing is labeled with a polynomial. In order to determine which section of fencing belongs to which plot of garden, she'll need to use the theorems learned in this lesson to help determine the correct placement.
The label on the first section of fencing shows that it can fence an area of p(x) where p(x)=x3−4x2−7x+10. Princess Poly reads the map of the garden and thinks that this section of fencing might fence in a rectangular region whose side has a measure marked as b(x)=x−5.

What is the value of p(5)?
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

75

Step-by-step explanation:

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EleoNora [17]

The square's diagonal is the triangle's hypotenuse.

The Pythagorean theorem is = a^{2}+b^{2}=c^{2}

Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.

As the side is given 12 inches, so this becomes

12^{2}+12^{2}=d^{2}

144+144=d^{2}

d^{2}=288

d=\sqrt{288}

d=16.97 inches

6 0
3 years ago
Write the coordinates of the vertices after a translation 4 units right and 4 units down.
m_a_m_a [10]

Answer:

  • T'(1, -2)
  • U'(1, -1)
  • V'(2, -1)
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Step-by-step explanation:

Translation 4 right adds 4 to each x-coordinate.

Translation 4 down subtracts 4 from each y-coordinate.

Doing this arithmetic gives you the results above.

8 0
3 years ago
What is the measure of arc BC?<br> 130<br> 65<br> 32.5<br> 180
ale4655 [162]

Answer:

The measure of arc BC is 130° ⇒ 1st answer

Step-by-step explanation:

In a circle:

  • The measure of an arc is equal to the measure of the central angle subtended by it
  • The measure of an arc is equal to double the measure of the inscribed angle subtended by it
  • Central angles subtended by the same arc are equal in measures
  • Inscribed angles subtended by the same arc are equal in measures
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∵ Angle BDC is an inscribed angle

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- By using the 2nd fact above

∴ The measure of arc BC = 2 × the measure of ∠BDC

∵ The measure of angle BDC is 65 degree

∴ The measure of arc BC = 2 × 65°

∴ The measure of arc BC = 130°

The measure of arc BC is 130°

7 0
3 years ago
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A. 1
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3 years ago
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elena55 [62]

Answer:

D. 2x

Step-by-step explanation:

x · 1 + x/1

= x + x

= 2x

3 0
3 years ago
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