Answer:
-8±√17 and -8±6√2
Step-by-step explanation:
1. x+16/x=4, x^2+16-4x=0. x=-8±√17
2. x+16/x=8, x^2+16-8=0. x=-8±6√2
Answer:
C - Rhombus
Step-by-step explanation:
A rhombus ALWAYS has perpendicular diagonals. A rhombus is just a parallelogram with four equal sides, so two of them have to be parallel, at least.
Step-by-step explanation:

Thus first option is the correct answer.
3x - 2y = 13
-2y = -3x + 13
y = 3/2x - 13/2...slope is 3/2, y int is -13/2
2x + 3y = -16
3y = -2x - 16
y = -2/3x - 16/3...slope = -2/3, y int is -16/3
perpendicular lines will have negative reciprocal slopes. To find the negative reciprocal of a number, flip the number and change the sign.
On the 1st equation, the slope was 3/2....find its negative reciprocal.....flip it, making it 2/3....change the sign...making it -2/3. So the negative reciprocal of 3/2 is -2/3.
So if one equation has a slope of 3/2 and another equation has a slope of -2/3, then these lines are perpendicular <==
Answer:
<u>It</u><u> </u><u>is</u><u> </u><u>3</u><u>y</u><u> </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>0</u>
Step-by-step explanation:
Let's first get the slope of the curve.
[ slope is the derivative of the equation ]

introduce dy/dx :

make dy/dx the subject:

At point (-1, 2):

but a tangent has the same slope as the curve:

m is the slope
c is the y-intercept
At (-1, 2):

equation:
