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horsena [70]
2 years ago
5

What if the factor of b^2+11b-42

Mathematics
2 answers:
yKpoI14uk [10]2 years ago
7 0

Answer:

b2+11b-42 = (b+14)(b-3) when factored

Step-by-step explanation:

Kazeer [188]2 years ago
5 0

Answer: the answer is ( b - 3) ( b + 14)

Step-by-step explanation:

² + 11ᵇ - 42

²+ 14ᵇ − 3ᵇ − 42

Common factor from the two pairs

²+ 14ᵇ− 3ᵇ − 42

( + 14) − 3( + 14)

Rewrite in factored form

( + 14) − 3( + 14)

answer: (<u> − 3) ( + 14)</u>

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Point P is the center of the circle below. What is the exact area
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Answer:

Area =192\pi

Step-by-step explanation:

Given

\theta = 120^o

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Required

The area of the shaded sector

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The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approxi
True [87]

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference (s), in centimeters, and the surface area (A_{s}), in square centimeters, of a sphere are represented by following formulas:

A_{s} = 4\pi\cdot r^{2} (1)

s = 2\pi\cdot r (2)

Where r is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}

A_{s} = \frac{s^{2}}{\pi^{2}} (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area (\Delta A_{s}), in square centimeters:

\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s

\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}} (4)

Where:

s - Measure circumference, in centimeters.

\Delta s - Possible error in circumference, in centimeters.

If we know that s = 82\,cm and \Delta s = 0.5\,cm, then the maximum error is:

\Delta A_{s} \approx 8.3083\,cm^{2}

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

6 0
2 years ago
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