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2 years ago

10

(-3√ -81)(-5+√ -9)+9i

1 answer:

AnnyKZ [126]2 years ago

5 0

Answer:

144i + 81

Step-by-step explanation:

(-3*9i)(-5 + 3i) + 9i

-27i (-5 + 3i) + 9i

FOIL

135i + 81 + 9i

144i + 81

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Find the length of arc AD. Use 3.14for r. Round to the nearest tenth.7.9 cmB66.4DС[? ]cmEntar

ch4aika [34]

The first thing we must do is calculate the circumeference:

$\begin{gathered} c=2\cdot\pi\cdot r \\ c=2\cdot3.14\cdot7.9 \\ c=49.612 \end{gathered}$

now, calculate the angle of arc

360° = 49.612

360° - 66.4° - 180° = x

x = 113.6°

now, to calculate the arc length it would be:

$undefined$

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1 year ago

Ruben bought 6 comic books for $21 dollars sign, 21.<br> What was the cost for 1 comic book?

Lena [83]

Answer:

$3.5

Step-by-step explanation:

21/6=3.5

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2 years ago

Read 2 more answers

An architect is sketching a blueprint of a patio for a new fence. On the blueprint, C is the midpoint of segment AD. Point B is

Gre4nikov [31]

Answer:

<u><em>The length of AD is 32 feet</em></u>

Step-by-step explanation:

<u>Proportional distances </u>

When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length

Let's call x the length of AD. Given C is the midpoint of AD, then

$\displaystyle AC=CD=\frac{x}{2}$

Given B is the midpoint of AC, then

$\displaystyle AB=BC=\frac{AC}{2}=\frac{x}{4}$

If we know BC=8 feet

$\displaystyle \frac{x}{4}=8\ feet$

$\displaystyle x=32\ feet$

The length of AD is 32 feet

4 0

3 years ago

What function equation is represented by the graph?

Ahat [919]

In the given graph, lets mark two points:

Let $A = (0,-3)$ and $B = (4,-2)$

The slope of the line is given by:

$m = \frac{(-2)-(-3)}{(4)-(0)}$

$m = \frac{-2+3}{4}$

$m = \frac{1}{4}$

The equation of the line is given by:

$(y-y_1)=m(x-x_1)$

$(y-(-3))=(\frac{1}{4})(x-0)$

$4(y+3)=x$

$4y+12=x$

$4y=x-12$

$y= \frac{1}{4}x-3$

Therefore, the function equation represented by the graph is: $f(x)= \frac{1}{4}x-3$

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3 years ago

If x square plus 8x plus q =(x plus k) Square find the value of k and q

PIT_PIT [208]

Answer:

The value of k is 4 and q is 16.

Step-by-step explanation:

First, you have to expand the brackets by applying :

${(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

${x}^{2} + 8x + q = {(x + k)}^{2}$

${x}^{2} + 8x + q = {x}^{2} + 2kx + {k}^{2}$

Next, you have to do it by comparison :

${x}^{2} + 8x + q = {x}^{2} + 2kx + {k}^{2}$

$by \: comparison$

$8x = 2kx$

$8 = 2k$

$k = 4$

$q = {k}^{2}$

$q = {4}^{2}$

$q = 16$

7 0

3 years ago