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NeX [460]
4 years ago
8

If x=15, y=3 & z=-2 what is the value of x-y _____+x ? yz

Mathematics
1 answer:
Elodia [21]4 years ago
4 0

Answer:

12

Step-by-step explanation:

From the question, the values of x, y and z are as follows.

x=15, y=3 and z= -2

Now, we are to find the value of the expression

\frac{x - y}{yz} + x

we substitute the values of x, y and z into the expression and simplify

\frac{15 - 3}{3( - 2)} + 15

=  \frac{12}{ - 6} + 15

=  - 2+ 15

= 13

Therefore, value of

\frac{x - y}{yz} + x =12

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vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

So, we have:

QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}

RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}

ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}

TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

QR = \frac{9 + 1}{2 + 3} = \frac{10}3

RS = \frac{5-9}{-4 - 2} = \frac{2}3

ST = \frac{5+5}{-4 + 7} = \frac{10}3

TQ = \frac{-5+1}{-7 + 1} = \frac{2}3

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

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