Which relationship describes angles 1 and 2?

What could be the coordinates of the third vertex, z, of triangle xyz so that it would have a hypotenuse with a length of square

ICE Princess25 [194]

Answer:

$z = (6,-1)$

Step-by-step explanation:

The missing parameters are:

$x = (3,-1)$

$y = (3,5)$

$yz= \sqrt{45$ --- Hypotenuse

Required

The coordinate of Z

First, calculate the distance xy

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

$xy = \sqrt{(3 - 3)^2 + (-1 - 5)^2}$

$xy = \sqrt{0 + 36}$

$xy = \sqrt{36}$

$xy = 6$

By Pythagoras theorem, distance xz is:

$yz^2 = xz^2 + xy^2$

$(\sqrt 45)^2 = xz^2 + 6^2$

$45 = xz^2 + 36$

Collect like terms

$xz^2 =45-36$

$xz^2 =9$

$xz = \sqrt{9}$

$xz = 3$

This means that z is 3 units to the right of x

We have:

$x = (3,-1)$

The rule to determine z is:

$(x,y) \to (x + 3, y)$

So, we have:

$z = (3 + 3,-1)$

$z = (6,-1)$

8 0

3 years ago

PLEASE HELP! Which graph has an absolute max at x=2

Dmitry [639]

Answer:

C)

Step-by-step explanation:

The highest point on the graph for c) is in the first quadrant (where x=2 would be).

If you had an equation, you would be able to find critical points on the function by setting the numerator and denominator equal of f'(x)=0 and solve. You'd have to evaluate f(x) at these critical points and end points to figure that out. This is, if you're in calculus and you would ever need assistance otherwise!

4 0

3 years ago

If the addends are 170 and 130, then what is the sum?

jeyben [28]

The sum of 170 and 130 is 300. Simply add the addends and you'll get the sum.

5 0

2 years ago

Read 2 more answers

Y=-2x find Oder pairs

STatiana [176]

The answer is d1 to the second power because you divide to the second

8 0

2 years ago

Subtract 4 from 1/6 in parentheses

Rom4ik [11]

I am not sure if what I am about to explain is correct but I hope it is somewhere along the correct path

To solve the problem use the following steps below....

Step 1: Take your numbers and place them in parentheses

(4-1/6)

Step 2: Turn your whole number,4, into a fraction

6/6=1
6/6x4=24/6

Step 3: Place your new fraction back into the problem

(24/6-1/6)

Step 4: Use the operation,subtraction, and minus 1/6 from 24/6

(23/6)
24/6 minus 1/6=23/6

Step 5(is optional): Turn 23/6 into a mixed fraction by dividing 23 by 6

23<span>÷6= 3 5/6

Step 6(is optional): put your answer into a final statement

(4-1/6)=23/6=3 5/6

Answer: 3 5/6

I hope this helps and I apologize in advance if any false information was given.
</span>

3 0

2 years ago