What is the reflection of point P (-1,6) across the line y=x

Answers

Answer 1

Answer: it will be -1 and -6 because you would move down 12 times

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What is the equation of the line through point (1, 5) and perpendicular to a line with a slope of 2/5?

What is the slope of the line that contains the points (-1,2) and (2,2)

Answers

Answer:

the equation to find the slope is (y2-y1)/(x2-x1)

the points are (-1,2) and (2,2) so plug it in and you get

(2-2)/(2-(-1))

0/ (2+1)

0/3

whenever the numerator is 0, that means the slope is 0. the line is just a horizontal line.

What multiplies to 16 and adds to negative 12

Answers

factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm

we will solve with math
xy=16
x+y=-12
minus x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

0=x^2+12x+16
a=1
b=12
c=16

x= $\frac{-12+/- \sqrt{12^(2)-4(1)(16) }}{2(1)}$
x= $(-12+/- √(144-64 ))/(2)$
x= $(-12+/- √(80))/(2)$
x= $(-12+/- 4√(5))/(2)$
x= $\frac{-6+/- 2√(5)$
x= $\frac{-6+ 2√(5)$ or $\frac{-6- 2√(5)$

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

8 times 2 8 because they are both equability right

Eqyivalent expresion to 3√m^2n^5

Answers

The first step to solving this expression is to factor out the perfect cube
$\sqrt[3]{m^(2) n^(3) X n^(2) }$
The root of a product is equal to the product of the roots of each factor. This will make the expression look like the following:
$\sqrt[3]{ n^(3) }$ $\sqrt[3]{ m^(2) n^(2) }$
Finally,, reduce the index of the radical and exponent with 3
n $\sqrt[3]{ m^(2) n^(2) }$
This means that the correct answer to your question is n $\sqrt[3]{ m^(2) n^(2) }$ .
Let me know if you have any further questions
:)

The lengths of the three sides of a triangle (in feet) are consecutive integers. If the perimeter is 87 feet, find the value of the longest of the three side lengths.