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nataly862011 [7]
2 years ago
13

Please answer quick to!

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
5 0

Answer: C.)

Step-by-step explanation:

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If (x+2) is a Factor x^3 + 2x^2 + 2x + k then find the value of K.​
Delvig [45]

Answer:

Step-by-step explanation:

If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4

4 0
3 years ago
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Quadrant:
NISA [10]

<h2>✒️Area Between Curves</h2>

\small\begin{array}{ |c|c} \hline \bold{Area\ Between\ Curves} \\ \\ \textsf{Solving for the intersection of }\rm y = x^2 + 2\textsf{ and }\\ \rm y = 4, \\ \\ \qquad \begin{aligned} \rm y_1 &=\rm y_2 \\ \rm x^2 + 2 &=\rm 4 \\ \rm x^2 &= \rm 2 \\ \rm x &=\rm \pm \sqrt{2} \end{aligned} \\ \\ \textsf{We only need the first quadrant area bounded} \\ \textsf{by the given curves so the integral for the area} \\ \textsf{would then be} \\ \\ \boldsymbol{\displaystyle \rm A = \int_{\ a}^{\ b} {\left( \begin{array}{c}\text{upper} \\ \text{function}\end{array} \right) - \left( \begin{array}{c} \text{lower} \\ \text{function} \end{array} \right)\ dx}} \\ \\ \displaystyle \rm A = \int_{0}^{\sqrt{2}} \Big[4 - (x^2 + 2)\Big]\ dx \\ \\ \displaystyle \rm A = \int_{0}^{\sqrt{2}} (2 - x^2)\ dx \\ \\ \rm A = \left[2x - \dfrac{x^3}{3}\right]_{0}^{\sqrt{2}} \\ \\ \rm A = 2\sqrt{2} - \dfrac{\big(\sqrt{2}\big)^3}{3} \\ \\ \rm A = 2\sqrt{2} - \dfrac{2\sqrt{2}}{3} \\ \\\red{\boxed{\begin{array}{c} \rm A = \dfrac{4\sqrt{2}}{3}\textsf{ sq. units} \\ \textsf{or} \\ \rm A \approx 1.8856\textsf{ sq. units} \end{array}}} \\\\\hline\end{array}

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5 0
2 years ago
Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Ya
yarga [219]

Answer:

8+8+8+8

Step-by-step explanation:

it can't be any negatives because the questions asking how many ladder rungs he climed not how far he went down. It can't be the first one cause Yan did not climb 16 rungs.

3 0
3 years ago
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Identify the property demonstrated by the equation. x + (3 + 5 ) = (x + 3 ) + 5
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It is called associated property.
The ( ) are moved around, but the answer will be the same.
3 0
3 years ago
The legs of an isosceles triangle have lengths x + 1 and -x + 7 . The base has length 3x - 3. What is the length of the base?
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Since you've told us that this is an isosceles triangle, we know that the 'legs' have equal length.  So we can write

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Add 'x' to each side:                  2x + 1 =       7

Subtract  1  from each side:      2x       =       6

Divide each side by  2 :                x      =       3

Now, if the length of the base is   3x - 3 ,
that length is

                                   3(3) - 3  =  6  .
8 0
3 years ago
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