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Sergeu [11.5K]
2 years ago
12

Find the value of the expression when x = 2, y = - 4 and z = ½.

Mathematics
1 answer:
Alla [95]2 years ago
4 0

what is the expression

I guess the question is incomplete

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100 points! explain well for brainliest
Dima020 [189]

Answer:

A

Step-by-step explanation:

Remember that the formula for the area of a triangle is:

A=\frac{1}{2}bh

In this case, our base will be the distance from the origin point (0, 0) to (x₁, y₁).

Our height will be the distance from the origin point (0, 0) to (x₂, y₂).

So, let's find each of the distances using the distance formula:

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

BASE:

Let's let (x₁, y₁) be itself and let's let (0, 0) be (x₂, y₂). Substitute this into the distance formula. This yields:

d=\sqrt{{(0-x_1)^2+(0-y_1)^2

Simplify:

d=\sqrt{(-x)^2+(-y)^2

We can remove the negative:

d=\sqrt{((-1)x_1)^2+((-1)y_1)^2

d=\sqrt{x_1\!^2+y_1\!^2}

And this is the length of our base.

HEIGHT:

Let' let (0, 0) be (x₁, y₁) and (x₂, y₂) be itself. Substitute them into our distance formula:

d=\sqrt{(x_2-0)^2+(y_2-0)^2

Simplify. So, our height is:

d=\sqrt{(x_2)^2+(y_2)^2

Therefore, substitute the base and the height for b and h in our equation yields:

A=\frac{1}{2}(\sqrt{(x_1)^2+(y_1)^2)}(\sqrt{(x_2)^2+(y_2)^2})

We can combine the square roots by multiplying. So:

A=\frac{1}{2}\sqrt{(x_1\!^2+y_1\!^2)(x_2 \!^2+y_2\!^2)

The answer choice that represents this is A.

So, our answer is A.

And we're done!

5 0
3 years ago
Read 2 more answers
Find the range of f(x)=-3x+1 if the domain is (-3,0,5)
wariber [46]

<em>HOPE</em><em> </em><em>THIS</em><em> </em><em>WILL</em><em> </em><em>HELP</em><em> </em><em>U</em><em>.</em><em>.</em><em> </em><em>:</em><em>)</em>

6 0
3 years ago
More 5th grade work c’mon
fgiga [73]

Answer: honestly for the first one, i think the answer would be 2.

they both have 5 at the end so you know its divisible :)

Step-by-step explanation:

6 0
3 years ago
An escalator lifts people to the second floor of a building 25 feet above the first floor. The escalator rises at a 30 degree an
ch4aika [34]

9514 1404 393

Answer:

  50 ft

Step-by-step explanation:

The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.

In this geometry, that means the length of the escalator is 2 times its height, so is ...

  x = 2(25 ft)

  x = 50 ft . . . . . distance a person travels

7 0
3 years ago
How is a coordinate grid a useful way to describe exactly where an object is?
Elenna [48]

Answer:

because you can show the exact points an object is at

Step-by-step explanation:

For example: A car goes x many miles in y minutes. You can easily see how many miles the car goes in y minutes.

Hope this helps!

6 0
2 years ago
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