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pickupchik [31]
3 years ago
14

Line CD contains A (4,6) and B (-2,6). The slope of the line CD is?

Mathematics
2 answers:
omeli [17]3 years ago
4 0
The answer is zero because the line is completely horizontal
yulyashka [42]3 years ago
4 0

Answer:

zero

Step-by-step explanation:

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Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.
KengaRu [80]

We have the following expression

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})

This is equivalent to

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})

Since

\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi

we have that

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})

Therefore, the answer is the second option from top to bottom.

3 0
1 year ago
What is the area of the composite figure
lara [203]

Answer:

Area of composite figure = 216 cm²

Hence, option A is correct.

Step-by-step explanation:

The composite figure consists of two figures.

1) Rectangle

2) Right-angled Triangle

We need to determine the area of the composite figure, so we need to find the area of an individual figure.

Determining the area of the rectangle:

Given

Length l = 14 cm

Width w = 12 cm

Using the formula to determine the area of the rectangle:

A = wl

substituting  l = 14 and w = 12

A = (12)(14)

A = 168 cm²

Determining the area of the right-triangle:

Given

Base b = 8 cm

Height h = 12 cm

Using the formula to determine the area of the right-triangle:

A = 1/2 × b × h

A = 1/2 × 8 × 12

A = 4 × 12

A = 48 cm²

Thus, the area of the figure is:

Area of composite figure = Rectangle Area +  Right-triangle Area

                                            = 168 cm² +  48 cm²

                                            = 216 cm²

Therefore,

Area of composite figure = 216 cm²

Hence, option A is correct.

4 0
3 years ago
David pays $335 in advance on his account at the gym. Each time he visits the gym , $6 is deducted from the account. Write an eq
Korolek [52]

Answer:

x = 335 - (6 * v)

Step-by-step explanation:

In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.

x = 335 - (6 * v)

7 0
3 years ago
Solve the inequality (3x+2)/(x+1)>4
Alex
\dfrac{3x+2}{x+1}>4
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nata0808 [166]
The answer is 11....................
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