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2 years ago

Simplify the expression. Write your answer as a complex number.

Mathematics

1 answer:

prohojiy [21]2 years ago

4 0

Answer:

$15-8i$

Step-by-step explanation:

we know that

The algebraic expression is equal to

$5\sqrt{9}-\sqrt{-64}}$

Remember that

$\sqrt{9}=3$

and

$i=\sqrt{-1}$

$\sqrt{-64}=i\sqrt{64}=8i$

substitute

$5\sqrt{9}-\sqrt{-64}}=5(3)-(8i)=15-8i$

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sergey [27]

Answer:

10 ft away

Step-by-step explanation:

do pythagorean theorum

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2 years ago

Mei bought a box of markers for b dollars, a shoulder bag that cost twice as much as the box of markers and a pen that cost $6 l

Masteriza [31]

Box of markers = $ B

Shoulder bag = Twice as much as the box of markers = $ 2B

Pen = Six less than the shoulder bag = $ (2B - 6)

Hence, the cost of pen is $ (2B - 6).

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2 years ago

A line has a y-intercept of -10 and a slope of 7/4 Find the equation of the line.

Gwar [14]

Answer:

(7/4)x - 10

Step-by-step explanation:

y = mx + c

m = gradient

c = y-intercept

so you just substitute in the respective values

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2 years ago

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Gnesinka [82]

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Using this formula, we get

$m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}$

$m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2$

Now,

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Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

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2 years ago

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Kay [80]

Answer:

3y + 2 =

Step-by-step explanation:

7y - 4y = 3y

3y and 2 are not like terms, so you can't add any further

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2 years ago

Read 2 more answers