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ch4aika [34]
3 years ago
5

Please help me I will give you brainliest

Mathematics
1 answer:
san4es73 [151]3 years ago
6 0

Answer:

use ph

Step-by-step explanation:

use ph0t03ath it tells every step and the answwr

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Can someone explain (with steps) how to rationalize the following expression?
insens350 [35]
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
6 0
3 years ago
What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)
mina [271]
 Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5
8 0
3 years ago
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.
tankabanditka [31]
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34

To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04


8 0
3 years ago
What is the degree AND direction of rotation that takes ΔQRS to ΔQ'R'S'?
ddd [48]

The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:

45 degrees; anticlockwise direction.

<h3>What is rotation in math?</h3>

The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.

When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.

Learn more about rotation in math:
brainly.com/question/26249005
#SPJ1

7 0
1 year ago
Is 1 4/5 greater than or less than 9 and why
const2013 [10]
1 4/5 is less than 9 because if have to count forward to get the answer for a greater than or less than question it is less than. If you have to count backward it is greater than (left to right). Hope I helped 
5 0
3 years ago
Read 2 more answers
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