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2 years ago

POINTS X, Y and Z are COLLinear. You are given

Mathematics

1 answer:

Anon25 [30]2 years ago

5 0

Answer:

129

Step-by-step explanation:

Collinear means that the points X, Y, and Z are on the same line. The question asks for one possible value of YZ, so for this, let's assume point X is between Point Y and Point Z.

This means...

XY+XZ=YZ

54+75=YZ

YZ=129

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Find an expression witch represents the difference when (10x-8y) is subtracted from (-4x-9y) in the simplest form

Whitepunk [10]

Answer:

Step-by-step explanation:

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3 years ago

The point (5,-6) lies on a circle and the center of the circle is at the point (5,-8).

mario62 [17]

Answer:

(x - 5)^2 + (y + 8)^2 = 4

Step-by-step explanation:

The equation for a circle in center radius form is

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

We need to determine the radius, from the two points which is the distance

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

= sqrt( (5-5)^2+( -8--6)^2)

= sqrt(0+ (-8+6)^2)

= sqrt( 0+(-2)^2)

= sqrt(4)

= 2

The radius is 2 and the center is (5,-8)

(x-5)^2 + (y--8)^2 = 2^2

(x-5)^2 + (y+8)^2 = 4

3 0

3 years ago

Given sin(−θ)=1/5 and tanθ=√6/12 .

Natasha_Volkova [10]

Answer:

B). −2√6/5

Step-by-step explanation:

tan theta = sin theta/ cos theta

Multiply each side by cos theta

tan theta * cos theta = sin theta

Divide each side by tan theta

cos theta = sin theta/ tan theta

We know that the sin (- theta) = - sin theta since sin is and odd function

sin theta = - ( sin (-theta))

Putting this into the above equation,

cos theta = - ( sin (-theta)) / tan theta

cos theta = - 1/5 / (sqrt(6)/12)

Remember when dividing fractions, we use copy dot flip

cos theta = -1/5 * 12/ sqrt(6)

cos theta = -12/ (5 sqrt(6))

We cannot leave a sqrt in the denominator, so multiply the top and bottom by sqrt(6)/sqrt(6)

cos theta = -12/ (5 sqrt(6)) * sqrt(6)/sqrt(6)

cos theta = -12 sqrt(6) / 5*6

Simplify the fraction.

cos theta = -2 sqrt(60/5

3 0

3 years ago

Sachiko is framing the border of a square picture. If she knows the area of the picture, how could Sachiko determine the amount

tatyana61 [14]

Answer:

Set the area equal to x2, solve for x, and then multiply the value of x by 4.

Step-by-step explanation:

The area of the picture is given by

A = s^2 where s is the side length

Let the side length be x

A = x^2

Take the square root of each side

sqrt(A) = sqrt(x^2)

x = sqrt(A)

We want to find the perimeter since we are framing the border

P = 4s since the picture is a square

P = 4 * x

4 0

3 years ago

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ololo11 [35]

The answer is C. The y intercept because a constant simply means a number without a variable accompanying it. The y intercept its the only number without a coefficient.

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