Answer:
Options A-C-F
Step-by-step explanation:
we know that
<em>The circumference of a circle is equal to</em>
or 
where
D is the diameter and r is the radius
therefore
or 
The number pi is the ratio circumference - diameter or is the ratio circumference - 2 times radius
<em>The area of the circle is equal to</em>

therefore
The number pi is the ratio Area - radius squared
We are given a concave spherical mirror with the following dimensions:
Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm
First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation:
Assume f = 10 cm
1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i
d i = 15 cm
Then, calculate for h i:
h i / h o = - d i / d o
h i / 6 = - 15 / 30
h i = - 3 cm
Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted".
Answer:
x = 8
y = 6
Step-by-step explanation:
Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.
Therefore,
LP = PN
x = y + 2 (eqn. 1)
PM = KP
2x - 8 = y + 10 (eqn. 2)
Substitute x = y + 2 into eqn. 2 to find y
Thus:
2(y + 2) = y + 10
2y + 4 = y + 10
Take like terms
2y - y = -4 + 10
y = 6
Substitute y = 6 into eqn. 1 to find x:
x = y + 2 (eqn. 1)
x = 6 + 2
x = 8
Answer:
hi! this may all seem confusing but don't worry it's easy once you get it!
so we have a line this line y=4x-7 is what we will use to plugin our point
and (0,2) is your point!
2=4(0)+b
2=b
and usually you don't have to do that (HINT: if it's 0,a number it's already b like the number that isn't 0 is b aka the y intercept)
y=4x + 2 would be the answer!
REMEMBER: Parallel is always the same so you will use the SAME SLOPE!
Well what is the slope? Slope is always mx! you can find it using the slope formula if it is not given, like this equation it was given
If this said PERPENDICULAR then it would be negative reciprocal of your slope and same equation!
hope this helps :)
new question: write an equation of the line that contains the point (1,5) and have the same y-intercept as the line 2x+3y=6
so we need to move this from standard form to slope intercept
2x + 3y=6
-3y= -2x + 6
y= 2/3x - 2
now we've solved! our y intercept is now -2 and slope is 2/3x
okay and now let's plug it in!
again let's plugin our point
5= 2/3 (1) + b
4 1/3= b
so! y= 2/3x - 4 1/3