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lana [24]
2 years ago
7

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}

so

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

substitute

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

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Answer:

10 ft away

Step-by-step explanation:

do pythagorean theorum

24^2 + b^2 = 26^2

576 + b^2 = 676

*subtract 576 from both sides*

b^2 = 100

*find square root of 100*

b = 10

4 0
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).
3 0
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

6 0
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,

m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1

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.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

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2 years ago
7y-4y+2=<br> What’s the answer?
Kay [80]

Answer:

3y + 2 =

Step-by-step explanation:

7y - 4y = 3y

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2 years ago
Read 2 more answers
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