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2 years ago

Which values of x and y would make the following expression represent a real number?

Mathematics

1 answer:

sveticcg [70]2 years ago

7 0

The values of x and y would make the following expression represent a real number is 4 and -5 respectively

<h3>Complex and real number</h3>

The standard form of writing a complex number is given asl

z= x + iy

where

x is the real part

y is the imaginary part

Given the expression below;

(4 +5i)(x + yi)

Expand

4x + 4yi + 5ix + 5y(-1)

4x + 4yi + 5ix - 5y

Hence the values of x and y would make the following expression represent a real number is 4 and -5 respectively

Learn more on complex number here: brainly.com/question/10662770

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38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t

svetoff [14.1K]

1. The surface area of a cone S is S= $\pi r^{2}+ \pi rl$ , where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

$l^{2}= OC^{2}+ OB^{2}$
$l^{2}= 12^{2}+ 62^{2}=144+3844=3988$

$l= \sqrt{3988}=63.15$

3.

$A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15
$
$= 452.16+2379.492 =2831.652 ( m^{2} )$

$= 452.16+2379.492 =2831.652 ( m^{2} )$

4. The answer is C

8 0

3 years ago

Read 2 more answers

Perform the indicated operation. (12x2 + 7y3)(4x2 + 7y3)

Verdich [7]

ANSWER

$48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}$

EXPLANATION

We want expand:

$(12x^2+8y^3)(4x^2+7y^3)$

We expand using the distributive to obtain:

$12 {x}^{2} (4 {x}^{2} + 7 {y}^{3} ) + 8 {y}^{3} (4 {x}^{2} + 7 {y}^{3} )$

$48 {x}^{4} + 28 {x}^{2} {y}^{3} + 32{x}^{2} {y}^{3} + 56 {y}^{6}$

Simplify further by combining the two terms in the middle:

$48 {x}^{4} + 60{x}^{2} {y}^{3} + 56 {y}^{6}$

4 0

4 years ago

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7.5% of the box office reciepts on a friday night are $270. What are the total box office reciepts

MrMuchimi

Hello there! To solve for the total box office receipts, we can write and solve a proportion. Set it up like this:

270/x = 7.5/100

We do that, because we are looking for the total and 270 is the part of the whole. 270 makes up 7.5% of the box office receipts.
Now, we cross multiply. 270 * 100 is 27,000. 7.5 * x is 7.5x. Divideeach side by 7.5 to isolate the "x". 7.5x/7.5 cancels out the "x". 27,000/7.5 is 3,600. There. x = 3,600. The total box office receipts are $3,600.

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4 years ago

Felicia has $6.40 in dimes and quarters. She has 34 coins in all. How many of each type of coin does Felicia have?

jonny [76]

Answer:

you would use 20 quarters and 14 dimes

Step-by-step explanation:

25*20=500

10*14=140

5.00+1.40=6.40

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3 years ago

The equation of a line is −2x+5y=−20. What is the x-intercept of the line? Enter your answer in the box.

Aleksandr-060686 [28]

Answer:0

Step-by-step explanation:

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3 years ago

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