−2x+2y−3z=

Mathematics

1 answer:

ziro4ka [17]3 years ago

5 0

Answer:

Step-by-step explanation:

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Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured

Anarel [89]

Answer: You start to ascend

Explanation:

Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.

Let

$y'$ = y-coordinate after walking due south
$z'$ = z-coordinate (or the height) after walking due south

So, the point where you stand after walking due south has a coordinate of $(100, y', z')$ . Moreover,

$z' = 1,400 - 0.05(100)^2 - 0.01(y')^2
\\ \boxed{z' = 1350 - 0.01(y')^2}$

Since the y-coordinate decreases after walking due south and $z' = 1350 - 0.01(y')^2$ ,

$y' \leq 120\\ \Rightarrow (y')^2 \leq 120^2 = 14,400\\ \Rightarrow -0.01(y')^2 \geq -0.01(14,400) = -144\\ \Rightarrow z' = 1,350 - 0.01(y')^2 \geq 1,350 - 0.01(14,400) = 1,206\\ \Rightarrow \boxed{z' \geq 1,206}$

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.

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3 years ago

Use long division method to solve & following.<br> 5 on 8

Lana71 [14]

Answer:

0.625

Step-by-step explanation:

8 0

1 year ago

I have this for my math review & i just don't seem to get it...<br>what is (.9x+.8y)^2

elena55 [62]

Can you take the quantity [ x + y ] and square it ?

Can you take the quantity [ x + 2y ] and square it ?

Then you should have no trouble with the square of (.9x + .8y) .

The square of any binomial (expression with 2 terms) is

(square of the first term)
+ (square of the second term)
+ 2 times (product of the terms) .

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3 years ago

1. What is the value of h? (1 point)

irinina [24]

The value of h is 11.3.

Solution:

Given data:

The triangle is a right triangle.

θ = 45° and opposite side of θ = 8

The value of sin 45° = $\frac{1}{\sqrt{2} }$