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evablogger [386]
3 years ago
14

What is the equation of a line that goes through the point (4, 2) and is parallel to the line given by the equation y = 2x + 6?

Mathematics
2 answers:
Nikitich [7]3 years ago
4 0
The answer is y=2x-6.
Tamiku [17]3 years ago
4 0
Parallel lines have equal gradients; the gradient is the coefficient of x.
In this case, it is very straight forward as there is only one equation in the list that has the same gradient/x-coefficient as the one in the question, which is 2.
The answer has to be the third option (y = 2x - 6) and sure enough, if you input the x-value 4 into the equation, you will get 2 as the y-value, so we know the line passes through the point (4, 2).
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Please help please reply
fgiga [73]

Answer:

hypotenuse:15

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 = c^2

"a" and "b" are the legs, "c" is the hypotenuse

9^2 + 12^2 = 225

\sqrt{225\\

hypotenuse = 15

4 0
2 years ago
Prove that: 1=SecB.CosB​
Schach [20]

Answer:

Js

Step-by-step explanation:

U bot

I am hacker

3 0
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 <em>L</em> 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 <em>L</em> = 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 <em>R</em> = 2.

Then <em>L</em> - <em>R</em> = 1.

6 0
3 years ago
Determine the slope from the given graph below:
DochEvi [55]

Answer:

i

Step-by-step explanation:

3 0
2 years ago
Simplify. √ 240 10√ 24 2√ 30 6√40 4√15
Orlov [11]

240 = 16 * 15 = 4^2 * 15

So

√ 240 =  √(4^2 * 15) = 4√15

Answer

4√15

5 0
2 years ago
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