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3 years ago

If n=3 what would 4(2+n)-6 equal?

Mathematics

1 answer:

Annette [7]3 years ago

4 0

Answer:

$14$

Step-by-step explanation:

$4(2+n)-6$

Replace n with 3:

$4(2+3)-6$

Solve brackets first:

$4\times 5-6$

Multiply next:

$20-6$

Subtract:

$14$

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Find k so that the distance from (–1, 1) to (2, k) is 5 units. k= k= *there are two solutions for 2*

dalvyx [7]

Answer:

k = -3

k =5

Step-by-step explanation:

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\$

$5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\$

$\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3$

7 0

3 years ago

Read 2 more answers

Find the value of x<br> A.)25<br> B.)140<br> C.)5<br> D.)1

Vlada [557]

Answer:

25 = x

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

5x+15 = 6x -10

Subtract 5x from each side

5x-5x+15 = 6x-5x -10

15 = x - 10

Add 10 to each side

15+10 = x-10+10

25 = x

5 0

3 years ago

Read 2 more answers

A pair of boots is 30dollars more than a pair of sandals. A pair of sandals cost s dollars each. Emily purchased 2 pairs of boot

babunello [35]

Answer: The expression representing the amount of money spent is $5x+60$ by Emily.

Step-by-step explanation:

Since we have given that

Let the cost price of per pair of sandals be 's'

Let the cost price of per pair of boots be 's+30'.

Number of pairs of boots = 2

Number of pairs of sandals = 3

Total cost would be

$2(s+30)+3s\\\\=2s+60+3s\\\\=5s+60$

Hence, the expression representing the amount of money spent is $5x+60$ by Emily.

5 0

3 years ago

3. if y varies directly as x and y=23.1 when x=36.3, find y when x=11.

STatiana [176]

Answer:

the answer is 5 because thats the varible

Step-by-step explanation:

8 0

3 years ago

Find the coordinates of the orthocenter for XYZ with X(-5,-1) Y(-2,4), Z(3,-1)

V125BC [204]

9514 1404 393

Answer:

(-2, 2)

Step-by-step explanation:

The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.

Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...

x = -2

Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...

y -(-1) +(1)(x -(-5))

y = x +4 . . . . . . . . subtract 1 and simplify

The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...

y = (-2) +4 = 2

The orthocenter is (x, y) = (-2, 2).

4 0

3 years ago