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Afina-wow [57]
3 years ago
11

Use the remainder Theorem and synthetic division to find p(3) for p(x) = x4 + x3 -x2 - 2x

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

You do not need to use the remainder theorem to find p(3). Just plugin 3 where the x is located in

x^4 + x^3 - x^2 - 2x

3^4 + 3^3 - 3^2 - 2(3) = 93

Answer is a.

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Why is #2 the expression ln(2e)^3x equivalent to choice B?
motikmotik
Hello:
ln(2e^3x) =ln2+lne^3x
<span>                =ln2 +3xlne
                 = ln2+3x        .....lne=1       
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8 0
3 years ago
Unit 4 Test, Part 2: Congruence and Constructions<br> Help with my math please
lakkis [162]

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

\overline{NM} = 20

\overline{MK} = 15

\overline{KN} = 25

\overline{TR} = 3x - 1

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to \overline{TR} is \overline{NM}. Thus:

\overline{TR} ≅ \overline{NM}

c. Since \overline{TR} ≅ \overline{NM}, therefore:

\overline{TR} = \overline{NM}

3x - 1 = 20 (substitution)

Add 1 to both sides

3x = 20 + 1

3x = 21

Divide both sides by 3

x = \frac{21}{3}

x = 7

2. a. Slope of LK = \frac{rise}{run} = \frac{4}{3}

Slope of LM = \frac{rise}{run} = -\frac{3}{5}

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2}

Lk = \sqrt{(3)^2 + (4)^2}

Lk = \sqrt{9 + 16}

Lk = \sqrt{25}

Lk = 5

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2}

LM = \sqrt{(5)^2 + (-3)^2}

LM = \sqrt{25 + 9}

LM = \sqrt{34}

LM = 5.8 (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

8 0
3 years ago
The value of 4c + 5g if c = 2 and g = 1.5
bixtya [17]

Answer:

15.5

Step-by-step explanation:

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= 8 + 7.5

= 15.5

4 0
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ExtremeBDS [4]

Answer:

points (8, 0) and (3, 0)

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Set f(x) = 3(x² - 11x + 24 = 0.

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Vika [28.1K]

Answer:

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the perimeter of equilateral triangle =3a

or, 36=3a

Thus, a = 13cm

area of equilateral triangle

=√3/4*(a^2 )

=√3/4*(13^2)

=73cm^2

5 0
2 years ago
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