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3 years ago

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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Find the x-intercept and y-intercept of the line.

Mice21 [21]

$5y = 6x + 21 \\ y = \frac{6}{5} x + \frac{21}{5}$

y intercept:

$y = \frac{21}{5}$

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3 years ago

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Nuetrik [128]

Answer:

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4 years ago

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3 years ago

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The question of two numbers is eight the sum of the same two numbers is 72 what are the two numbers

Otrada [13]

Answer:

The two numbers are 64 and 8.

Step-by-step explanation:

You meant "quotient" of two numbers, right?

Represent the numbers by x and y.

Then the quotient is x/y = 8, and beyond that we know that x + y = 72.

Solve this for x and y.

If x/y = 8, then x = 8y. Substituting this into x + y = 72, we get:

(8y) + y = 72, or 9y = 72. Dividing both sides by 9 yields y = 8.

Since x/y = 8, letting y = 8 results in x = 64.

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3 years ago

Given $m\geq 2$, denote by $b^{-1}$ the inverse of $b\pmod{m}$. That is, $b^{-1}$ is the residue for which $bb^{-1}\equiv 1\pmod

goblinko [34]

$(2+3)^{-1}\equiv5^{-1}\pmod7$ is the number L such that

$5L\equiv1\pmod7$

Consider the first 7 multiples of 5:

5, 10, 15, 20, 25, 30, 35

Taken mod 7, these are equivalent to

5, 3, 1, 6, 4, 2, 0

This tells us that 3 is the inverse of 5 mod 7, so L = 3.

Similarly, compute the inverses modulo 7 of 2 and 3:

$2a\equiv1\pmod7\implies a\equiv4\pmod7$

since 2*4 = 8, whose residue is 1 mod 7;

$3b\equiv1\pmod7\implies b\equiv5\pmod7$

which we got for free by finding the inverse of 5 earlier. So

$2^{-1}+3^{-1}\equiv4+5\equiv9\equiv2\pmod7$

and so R = 2.

Then L - R = 1.

6 0

3 years ago