The equation of line CD is (y − 3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

Answers

Answer 1

Answer: $The\ slope-point\ form:y-y_0=m(x-x_0)\ where\ m\ is\ a\ slope\n\nIf\ k:y=m_1x+b_1\ and\ l:y=m_2x+b_2\n\nk\perp l\iff m_1m_2=-1\to m_2=-(1)/(m_1)\n\ntherefore\nthe\ slope\ of\ line\ CD:y-3=-2(x-4)\ is\ m_1=-2\ and\ the\ slope\nof\ a\ line\ prpendicular\ to\ CD\ is\ m_2=-(1)/(-2)=(1)/(2)$

Answer: 1/2

Answer 2

Answer: (y-3)=-2(x-4)
(y-3)= -2x+8
y= -2x+11
perpendicular slopes are always reciprocals and opposite so the slope would be
slope=1/2

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What is the length of leg y of the right triangle?A right triangle with hypotenuse 26 and legs 24 and y

10
14
24
26

Answers

b = 10 is the length of leg y of the right triangle.

Length of the hypotenuse

If a and b are the lengths of the legs of a right-angled triangle and c exists the length of the hypotenuse, then the sum of the squares of the lengths of the legs exists equivalent to the square of the length of the hypotenuse.

Then, the formula exists as

$a^2+b^2=c^2$

By substituting the value of a, b and c, then we get

$24^2+b^2=26^2$

b exists missing because we only have one leg

Now consider, $24^2=576$

$26^2=676$

$576+b^2=676$

now we remove 676 by 576=100

and it will be $b^2=100$

We square root both sides of the equation then we get

b = 10.

Therefore, the correct answer is b = 10.

To learn more about length of the hypotenuse

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The answer is 10 because 24 times 24 is 576 and that plus 100 is 676 and this number squared is 26. 26 is the hypotenuse.

By definition, future value is?

Answers

Answer:

Future value is the value of an item calculated after certain years on a given value at a given certain interest rate.

Future value is always increasing in nature and when future value is decreasing it is know as Depreciate value.

And is calculated using the formula as stated

$FV=P(1+(r)/(100) )^n$

Where P is the principal amount that is the given amount for which we have t calculate the future value.

r is the rate of interest and it is the rate at which the given principal value is increasing.

n is the time period for which the principal value is kept.

Future value is the value of an asset at a specific date. It measures the nominal future sum of money that a given sum of money is "worth" at a specified time in the future assuming a certain interest rate, or more generally, the rate of return; it is the present value multiplied by the accumulation function.

What is 4 1/6 minus 2 5/6

Answers

$4 (1)/(6) -2 (5)/(6) =3+1 (1)/(6) -2 (5)/(6) =3-2+ (7)/(6) - (5)/(6) =1 (2)/(6) =1 (1)/(3)$

1 2/6 or 1 1/3 would b ur answer (ther both th same!!)

What is the midpoint of OA ?A: (2m, n)

B: (m, n)

C: (m – n, 0)

D: (m, 2n)

Answers

Answer:

(m,n)

Step-by-step explanation:

Since O is at the origin, we can take the coordinates of point A and divide them by 2 to find the midpoint

( 2m/2,2n/2)

The midpoint is at (m,n)

If 25 is 40% of a value, what is that value?

Answers

the value is 62.50 :)
hope this helps.

40/100=0.4
25/0.4=62.5
so 25 is 40% of 62.5

A store pays $10 for a bracelet and the markup is 115% of customer will also pay 5.5% sales tax what will be the total cost of the bracelet to the nearest cent