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Naily [24]
2 years ago
11

If a is real and the product of (a+6i)(5-3i) is a real number, the find a.

Mathematics
1 answer:
irina [24]2 years ago
3 0

Answer:

5a−3ai+30i+18

Step-by-step explanation:

i just did this

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help me please i got the answer which is 2 but how do i do the sqrt 3 part in the bottom in gold letters
Allisa [31]

|MN| =\sqrt{(x_{M}-x_{N})^{2}+(y_{M} - y_{N})^{2}} =\sqrt{(-6-(-1))^{2}+(-1-(-7))^{2}} = \\ \\ =\sqrt{25 +36} =\sqrt{61}  \\ \\Answer \ is \  \sqrt{61} .

4 0
3 years ago
Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Two rectangular tiles, rect
guapka [62]
From the given figure,
the length of segment SP is 5 - 1 = 4,
the length of segment SR is 8 - 1 = 7,
the length of segment QR is 5 - 1 = 4,
the length of segment PQ is 8 - 1 = 7.

The length of segment MJ is 4 - 1 = 3,
the length of segment ML is 8 - 4 = 4
the length of segment KL is 4 - 1 = 3
the length of segment JK is 8 - 4 = 4

<span>segment SP to segment SR is 4 : 7
</span><span>segment MJ to segment ML is 3 : 4
</span>
<span>segment PQ to segment QR is 7 : 4
</span>segment JK to segment KL is 4 : 3

Because the ratio of any corresponding segments of the two rectangles to another segment is not equal, the two rectangles are not similar.

Therefore, the correct statement is "<span>The two tiles are not similar because segment PQ is to segment QR is 7:4 and segment JK is to segment KL is 4:3"</span>
3 0
3 years ago
What is the range of the data set 66, 22, 11, 55, 40 *
exis [7]

Answer: The range is 55.

Step-by-step explanation:

8 0
3 years ago
I need help. What does x equal
MA_775_DIABLO [31]

Answer: x=31

Step-by-step explanation:

(3x+25)+2x=180

5x+25=180

5x=155

x=31

5 0
3 years ago
Read 2 more answers
Exercise
Maurinko [17]
X - nominator
y - denominator

\frac{3x}{y+12}=\frac{3}{4}\\&#10;\frac{x+7}{3y}=\frac{1}{2}\\\\&#10;3(y+12)=12x\\&#10;2(x+7)=3y\\\\&#10;3y+36=12x\\&#10;2x+14=3y\\\\&#10;2x+14+36=12x\\&#10;10x=50\\&#10;x=5\\\\&#10;3y=2\cdot5+14\\&#10;3y=10+14\\&#10;3y=24\\&#10;y=8\\\\&#10;\frac{x}{y}=\boxed{\frac{5}{8}}
6 0
4 years ago
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