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Rudik [331]
3 years ago
10

The lines shown below are perpendicular. If the green line has a slope of

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
6 0

Answer: A. 9

Step-by-step explanation:

Given: The red line and the green line are perpendicular to each other.

The slope of green line =\dfrac{-1}{9}

We know that the product of slopes of two perpendicular line is -1.

Let m be the slope of red line ], then we have

\dfrac{-1}{9}\times m=-1\\\\\Rightarrow\ m=\dfrac{9}{1}=9

Hence, the slope of the red line = 9.

DedPeter [7]3 years ago
3 0
The opposite reciprocal of -1/9 is 9
So the answer is A
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Kathy needs money for a trip to Europe if she has US$300 in the bank but wants to withdraw half of it In British pounds and half
Aleks [24]

Answer: She has 21.63 more euros than pounds and has 1.23 times more euros than pounds.

Step-by-step explanation:

She has US$300, and she will withdraw half of it on pounds, and half of it in euros.

(half of US$300 is US$150)

We know that:

1 pound = US$1.6

(1 pound/US$1.6) = 1

Then US$150 = US$150*(1 pound/US$1.6) = (150/1.6) pounds = 93.75 pounds.

And we also know that:

1 euro = US$ 1.3

then:

(1 euro/US$ 1.3) = 1

This means that:

US$150 = US$150*(1 euro/US$ 1.3) = (150/1.3) euros = 115.38 euros.

This means that:

115.38 - 93.75 = 21.63

This means that she has 21.63 more euros than pounds.

and:

115.38/93.75 = 1.23

She has 1.23 times more euros than pounds.

6 0
3 years ago
What is f(x) = 7x2 + 42x written in vertex form?
amid [387]

Answer:

\boxed{\boxed{y = 7(x+3)^2-63}}

Step-by-step explanation:

The general vertex form of parabola is,

y=a(x-h)+k

where,

(h, k) is the vertex of the parabola.

The given function is,

\Rightarrow f(x) = 7x^2 + 42x

\Rightarrow y = 7x^2 + 42x

\Rightarrow y = 7(x^2 + 6x)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2

\Rightarrow y = 7(x+3)^2-7\cdot 9

\Rightarrow y = 7(x+3)^2-63

This is vertex form the given function.

7 0
3 years ago
Read 2 more answers
I cant find this answer for my life
fredd [130]
1/343


Hope this helps (:
8 0
3 years ago
Read 2 more answers
suppose six of these people are men, and the other six are women. in how many ways can they join hands for a circle dance, assum
Drupady [299]

Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle

Answer:

86400 ways

Step-by-step explanation:

Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.

Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.

After picking the places for the women, we will now fill each gap between two women with a man.

We have 6 men. Thus, number of ways to arrange the men is 6!

Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways

8 0
3 years ago
I need the answer please asp
11Alexandr11 [23.1K]

Answer:

The answer is a isosceles right I think.

8 0
3 years ago
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