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3 years ago

Which expression is the equivalent to (4+7i)(3+4i)

Mathematics

1 answer:

murzikaleks [220]3 years ago

4 0

Answer:

-16 + 37i

Step-by-step explanation:

First expand.

You get 12 + 16i + 21i + 28i^2.

Because $i=\sqrt{-1}$ , you get 12 + 37i - 28 or -16 + 37i. $\blacksquare$

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Evaluate log416 -2 1/2 2

krok68 [10]

16 = 4²

So, by the definition of logarithms

$\log_4{16}=2$

5 0

4 years ago

Patty is inviting her friends to a party.She has 30 snack bars and 45 juice boxes and she wants to give the same number to each

Alexeev081 [22]

Answer

15 friends

Step-by-step explanation:

The largest common factor ( meaning the biggest number that goes into both 30 and 45) is 15. Each friend could get 2 snack bars and 3 juice boxes and there would be none left over

8 0

4 years ago

find x. assume that segments that appear tangent are tangent. please help need answer and how to do it.

Pavlova-9 [17]

Triangle ABC is a right triangle, meaning we can use the Pythagorean Theorem to find x.
The formula for the Pythagorean Theorem is:
$a = \sqrt{ {b}^{2} + {c}^{2} }$
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
$a = 20 \\ b = 16 \\ c = x$
Therefore, we can plug into the formula to find x: $a = \sqrt{ {b}^{2} + {x}^{2} } \\ {a}^{2} = { \sqrt{ {b}^{2} + {x}^{2} } }^{2} \\ {a}^{2} = {b}^{2} + {x}^{2} \\ {a}^{2} - {b}^{2} = {x}^{2}$
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
${x}^{2} = {a}^{2} - {b}^{2} \\ \sqrt{ {x}^{2} } = \sqrt{ {a}^{2} - {b}^{2} } \\ x = \sqrt{ {a}^{2} - {b}^{2} }$
We square root each side to find the variable answer for x. Then we plug in the numbers: $x = \sqrt{ {(20)}^{2} - {(16)}^{2} } \\ x = \sqrt{400 - 256} \\ x = \sqrt{144} \\ x = 12$
We find that x = 12. The answer is A. 12.

3 0

3 years ago

The equation `2x + 3 - 1 = -x + 8` is modeled above. What value of `x` makes the equation true?

8090 [49]

X = 2 makes this true

7 0

3 years ago

Read 2 more answers

22=2(w+7)-4w<br> What is w?

SOVA2 [1]

Solve for w by simplifying both sides of the equation, then isolating the variable.

w=−4

Let's solve your equation step-by-step.

22=2(w+7)−4w

Step 1: Simplify both sides of the equation.

22=2(w+7)−4w

22=(2)(w)+(2)(7)+−4w (Distribute)

22=2w+14+−4w

22=(2w+−4w)+(14) (Combine Like Terms)

22=−2w+14

Step 2: Flip the equation.

−2w+14=22

Step 3: Subtract 14 from both sides.

−2w+14−14=22−14

−2w=8

Step 4: Divide both sides by -2.

−2w /−2 = 8 /−2

Answer:

w=−4

5 0

3 years ago

Read 2 more answers