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3 years ago

If (x-10) is a factor of the polynomial P(x), which of the following do we know to be true?

Mathematics

2 answers:

Anon25 [30]3 years ago

4 0

Answer:

Option 3, p(0) = -10

Option 4, p(10) = 0

Step-by-step explanation:

Step 1: Check

x - 10 + 10 = 0 + 10

x = 10

f(0) = 0 - 10 = -10

x = -10

p(10) = 0

Answer: Option 3, p(0) = -10, Option 4, p(10) = 0

Stella [2.4K]3 years ago

4 0

Answer:

3 and 4

Step-by-step explanation:

3. p(0-10)=-10. p(-10)=-10

4. p(10-10)=0. p(0)=0

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Answer:

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Step-by-step explanation:

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$4e^{2x}=8$

$e^{2x}=2$

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Use quadrilateral ABCD to find the value of x. The figure is not drawn to scale. Use the following dimensions: m⦨ABC = 4x◦, m⦨BC

OLEGan [10]

Answer/Step-by-step explanation:

Question 1:

Interior angles of quadrilateral ABCD are given as: m<ABC = 4x, m<BCD = 3x, m<CDA = 2x, m<DAB = 3x.

Since sum of the interior angles = (n - 2)180, therefore:

$4x + 3x + 2x + 3x = (n - 2)180$

n = 4, i.e. number of sides/interior angles.

Equation for finding x would be:

$4x + 3x + 2x + 3x = (4 - 2)180$

$12x = (2)180$

$12x = 360$

$x = \frac{360}{12}$ (dividing each side by 12)

$x = 30$

Find the measures of the 4 interior angles by substituting the value of x = 30:

m<ABC = 4x

m<ABC = 4*30 = 120°

m<BCD = 3x

m<BCD = 3*30 = 90°

m<CDA = 2x

m<CDA = 2*30 = 60°

m<DAB = 3x

m<DAB = 3*30 = 90°

Question 2:

<CDA and <ADE are supplementary (angles on a straight line).

The sum of m<CDA and m<ADE equal 180°. To find m<ADE, subtract m<CDA from 180°.

m<ADE = 180° - m<CDA

m<ADE = 180° - 60° = 120°

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3 years ago