Mathematics, 26.11.2019 00:31 kennakenken3

What is the equation of a line that passes through the point (10, 5) and is perpendicular to the line whose equation is y=54x−2 ? enter your answer in the box.

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The equation of a line that passes through the point (10, 5) and is perpendicular to the line whose equation is (y = 5/4x − 2) is (5y + 4x = 65).

Given :

A line passes through the point (10,5) and is perpendicular to the line whose equation is y=5/4x−2.

The following steps can be used in order to determine the equation of a line that passes through the point (10, 5) and are perpendicular to the line whose equation is (y = 5/4x − 2):

Step 1 - Remember that when two lines are perpendicular to each other then their slopes are:

mm' = -1

Step 2 - So the slope of the line which is perpendicular to the line (y = 5/4x − 2) is:

$\rm \dfrac{5}{4}m'=-1$

$\rm m' = -\dfrac{4}{5}$

Step 3 - So, the equation of a line that passes through the point (10, 5) and is perpendicular to the line whose equation is (y = 5/4x − 2) is:

$(y - 5)=-\dfrac{4}{5}(x-10)$

5y - 25 = -4x + 40

5y + 4x = 65

For more information, refer to the link given below:

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Answer from: tacojordan4128

Y = 5/4x - 2the slope here is 5/4. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal slope, u take ur original slope, flip it, and change the sign. So we have 5/4flip it an it becomes 4/5...change the sign and it becomes - 4/5. So ur perpendicular line will have a slope of -4/5.

y = mx + b
slope(m) = -4/5
(10,5)...x = 10 and y = 5
now sub into the formula and find b, the y int
5 = -4/5(10) + b
5 = -40/5 + b
5 = -8 + b
5 + 8 = b
13 = b
so ur perpendicular equation is : y = -4/5x + 13 <===

Answer from: Quest

answer: idk

step-by-step explanation:

Answer from: Quest

Hello!

the answer is:

$\frac{3^{4} }{3^{1}}=3^{3}$

why?

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

$\frac{a^{m} }{a^{n} }=a^{m-n}$

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

$\frac{3^{4} }{3^{1}}$

then, calculating we have:

$\frac{3^{4} }{3^{1}}=3^{4-1}=3^{3}$

hence, the answer is:

$\frac{3^{4} }{3^{1}}=3^{3}$

have a nice day!

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