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3 years ago

Check out this cube:

Mathematics

1 answer:

damaskus [11]3 years ago

3 0

Answer:

Step-by-step explanation:

2 x 2 x 2

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JK in the coordinate plane has endpoints with coordinates (-4, 11) and (8,

atroni [7]

Answer:

(0, 7)

Step-by-step explanation:

Given:

J(-4, 11)

K(8, -1)

JP:JK = 1/3

Required:

Coordinates of P

SOLUTION:

Use the formula, $(x, y) = (x_1 + k(x_2 - x_1), y_1 + k(y_2 - y_1))$ to find the coordinates of point P, that partition the segment JK into the ratio 1/3.

Let,

$J(-4, 11) = (x_1, y_1)$

$K(8, -1) = (x_2, y_2)$

$k = \frac{1}{3}$

Thus, plug in the values as follows:

$P(x, y) = (-4 + \frac{1}{3}(8 -(-4)), 11 + \frac{1}{3}(-1 - 11)$

$P(x, y) = (-4 + \frac{1}{3}(12), 11 + \frac{1}{3}(-12)$

$P(x, y) = (-4 + \frac{12}{3}, 11 + \frac{-12}{3})$

$P(x, y) = (-4 + 4, 11 + (-4)$

$P(x, y) = (0, 7)$

The coordinates of point P, are (0, 7)

3 0

4 years ago

5x – 12y – 17 = 0 1*9(x + 2) - (y + 1) + 3 = 0

valentina_108 [34]

Answer: $x=\frac{12y+17}{5}$

$y=\frac{-5x+17}{-12}$

$x=\frac{y-20}{9}$

y=9x+20

Step-by-step explanation:

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (plus 12y from both sides)

5x=12y+17 (divide 5 from everything)

$x=\frac{12y+17}{5}$

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (minus 5x from both sides)

-12y=-5x+17 (divide everything by -12)

$y=\frac{-5x+17}{-12}$

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (plus y to both sides)

9x=y-20 (divide 9 from both sides)

$x=\frac{y-20}{9}$

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (minus 9x from both sides)

-y=-9x-20 (divide -1 from everything)

y=9x+20

3 0

3 years ago

NEED HELP PLEASE don't know how to solve

amid [387]

The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the intercepted arcs.

 $\frac{10x+20-80}{2}=2x+15 \\ 10x-60=2(2x+15) \\ 10x-60= 4x+30 \\ 10x-4x=30+60 \\ 6x=90 \\ x=90/6 \\ x=15$

3 0

4 years ago

A pastry bag filled with frosting has

Elis [28]

The answer of this question is b

8 0

3 years ago

Roll 2 six-sided number cubez how many possibilties contain only even numbers

jeka94

Answer:

1/2 of the possibilities are even number

Step-by-step explanation:

Add all of the sides together, you get 12, count on even numbers until you get to 12. 2,4,6,8,10,12. that's six numbers which is half of 12. so half of the possibilities are even.

6 0

3 years ago