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3 years ago

10

Someone help me simplify

1 answer:

Mrrafil [7]3 years ago

6 0

= 14x - 56 - 24x - 6y +8x^2 - 2x + 7y
= 8x^2 - 12x + y - 56

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Which sequence is arithmetic?

MissTica

Answer:

11, 14, 17, 20

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

Consider 2, 6, 18, 54

6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic

Consider 3, 6, 12, 24

6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic

Consider 11, 14, 17, 20

14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic

Consider 7, 11, 13, 18

11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic

The arithmetic sequence is 11, 14, 17, 20

3 0

3 years ago

Evalute costheta if sintheta = (sqrt5)/3

torisob [31]

Answer:

$\large\boxed{\cos\theta=\pm\dfrac{2}{3}}$

Step-by-step explanation:

Use $\sin^2x+\cos^2x=1$ .

We have

$\sin\theta=\dfrac{\sqrt5}{3}$

Substitute:

$\left(\dfrac{\sqrt5}{3}\right)^2+\cos^2\theta=1\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\dfrac{(\sqrt5)^2}{3^2}+\cos^2\theta=1\qquad\text{use}\ (\sqrt{a})^2=a\\\\\dfrac{5}{9}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{5}{9}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{9}{9}-\dfrac{5}{9}\\\\\cos^2\theta=\dfrac{4}{9}\to \cos\theta=\pm\sqrt{\dfrac{4}{9}}\\\\\cos\theta=\pm\dfrac{\sqrt4}{\sqrt9}\\\\\cos\theta=\pm\dfrac{2}{3}$

3 0

3 years ago

Read 2 more answers

Write the vertex form of the equation of the parabola that has a vertex of (-6,-5) and passes through the point (-8,6)

Anastaziya [24]

Answer:

Step-by-step explanation:

Find the parabola through ( − 8 , 6 ) with vertex ( − 6 , -5 ) .

Standard Form: y = − 11 /4x ²− 44 x − 170

Vertex Form: y = − 11 /4 ( x + 8 ) 2 + 6

<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> docx </span>

<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> docx </span>

7 0

3 years ago

The sides of a whiteboard are 16 inches by 10 inches. How many 2 inch by 2 inch Post-it notes will be needed to cover the entire

sertanlavr [38]

Answer:

40 Post-it notes

Step-by-step explanation:

10/2 = 5 on the side that measures 10"

16/2 = 8 on the side that measures 16"

5 x 8 = 40 post-it notes

6 0

3 years ago

Read 2 more answers

Given the relation x = y 4 − 9 y 2, identify the x- and y- axis intercepts.

Svetlanka [38]

The x-intercepts are $(0,0)$

The y-intercepts are $(0,0),(0,3),(0,-3)$

Explanation:

The relation is $x=y^{4} -9y^{2}$

To find the x-intercept, let us substitute $y=0$ in the equation $x=y^{4} -9y^{2}$ , we get,

$x=(0)^{4} -9(0)^{2} \\x=0$

Thus, the x-intercepts are $(0,0)$

To find the y-intercept, let us substitute $x=0$ in the equation $x=y^{4} -9y^{2}$ , we get,

$0=y^{4}-9 y^{2}$

let us switch sides and solving, we get,

$\begin{aligned}y^{4}-9 y^{2} &=0 \\y^{2}\left(y^{2}-9\right) &=0 \\y^{2} &=0, y^{2}-9=0\end{aligned}$

Taking square root,

$y=0$ and $\begin{aligned}y^{2}-9 &=0 \\y^{2} &=9 \\y &=\pm 3\end{aligned}$

Thus, the y-intercepts are $(0,0),(0,3),(0,-3)$

5 0

3 years ago