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2 years ago

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A square root of 54

4 \sqrt{3 } " alt=" \\ 54 \sqrt{3 } " align="absmiddle" class="latex-formula">

1 answer:

11111nata11111 [884]2 years ago

8 0

What’s the question?

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What is the magnitude of -3 +4i?

Goshia [24]

Answer:

we have

-3+4i

let magnitude be |z|

|z|= $\sqrt{( - 3) {}^{2} + 4 {}^{2} }$

|z|=5 unit

6 0

2 years ago

Pls solve this for me :(

Rus_ich [418]

Answer:

33.83

Step-by-step explanation:

This is because if you trying to find h and the opposite side, you will have to use cos to get that answer. My using this equation

$\cos(31) = \frac{29}{x}$

You will find that x will equal 33.83

Hope this Helped

6 0

3 years ago

I have these factoring questions I need help with.

snow_lady [41]

$f(x)=4x^2+4x-3$

1. Determine y-intercept.

<em>The y-intercept is (0,-3). Substitute x = 0 in the equation as we get f(x) = -3 as the y-intercept.</em>

2. Determine the zeros.

<em>Factor the polynomials first. </em> $(2x-1)(2x+3)$ <em>This is the factored form. The zeros are the roots of equation. Therefore, the zeros are 1/2 and -3/2</em>

3. Determine the Axis of Symmetry

<em>We can solve this by using the formula of </em> $x=-\frac{b}{2a}$ <em>However, I'll be solving the Axis of Symmetry with Calculus instead.</em>

<em /> $f'(x)=2(4x^{2-1})+1(4x^{1-1})-0\\f'(x)=8x+4$ <em />

<em>Then let f'(x) = 0 to find the Axis of Symmetry.</em>

<em /> $8x+4=0\\8x=-4\\x=-\frac{4}{8}\\x=-\frac{1}{2}$ <em />

<em>Therefore, the Axis of Symmetry is -1/2</em>

4. Determine the vertex.

<em>Substitute the value of Axis of Symmetry in f(x).</em>

<em /> $f(x)=4(-\frac{1}{2})^2+4(-\frac{1}{2})-3\\f(x)=4(\frac{1}{4})-2-3\\f(x)=1-2-3\\f(x)=-4$ <em />

<em>Therefore the vertex is at (-1/2, -4)</em>

5. Does the vertex representing max-pont or min-point?

<em>The vertex represents the minimum point. The graph is upward, meaning the minimum point is the point that gives the LOWEST Y-VALUE. </em>

7. Graph f(x)

<em>Unfortunately I won't be able to graph. But I can tell you to graph a parabola that has the most curve at the vertex and intercepts y-axis at (0,-3).</em>

<em>--------------------------- </em>End of Part 1 --------------------------------

2. Write the general form of Quadratic Function in standard form.

$y=ax^2+bx+c$

<em>The graph can be easily determined about the y-intercept and being an upward or downward parabola along with how narrow or wide the parabola is. </em>

<em>For example, c value is the y-intercept as defined. When a > 0, the parabola is upward and when a < 0, the parabola is downward. The more value of | a | is, the more narrow it will be and the less value of | a | it is, the wider it will be.</em>

3. Write in Factored Form

$y=(x+a)(x+b)\\y=(x-a)(x-b)\\y=(x+a)(x-b)\\y=(x-a)(x+b)$

<em>These are factored forms with different types of operators.</em>

<em>The equation can be easily determined about the roots of equation. For example, if the function is in f(x) = (x+2)(x-1) Then the roots would be x = -2 and 1 as the graph will intercept x-axis at (-2,0) and (1,0)</em>

4. Write in Vertex Form.

$y=a(x-h)^2+k$

<em>The equation can be easily determined for the vertex, axis of symmetry and the same narrow/wide/upward/downward parabola again.</em>

<em>The vertex is at (h,k) and the axis of symmetry is at x = h.</em>

<em>For example, </em> $y=(x-2)^2+3$ <em />

<em>The vertex would be at (2,3) and the axis of symmetry is x = 2.</em>

3 0

2 years ago

Help with this problem^

Fittoniya [83]

This formula is the exposition of 8 and equals to 6 how u ask ? well if u 8 minus 2 u get 6 than add 6

6 0

3 years ago

Granny Georgette and Kiwi have a combined age of 77. If Kiwi is 13 years less than twice Granny Georgette's age, how old is Kiwi

miskamm [114]

Since they decided to be extremely ridiculous and deleted my answer for "not showing enough work", here I am again:

Since it says that Kiwi is 13 less than TWICE Granny's age, I divided 77 (Granny's age) by 2, which gave me 38.5

I then subtracted 13, since it says that she is thirteen less than that number, which gave me 25.5

I had originally said "20 or 20 and a half years old" because depending on your format of testing/worksheet, you may not have the option of putting halves.

8 0

3 years ago