9514 1404 393
Answer:
y = 1/3x +6
Step-by-step explanation:
The slope of the given line is the coefficient of x, -3. The slope of the perpendicular line will be the opposite reciprocal of that:
-1/(-3) = 1/3
The point-slope equation is then ...
y -k = m(x -h) . . . . . for line of slope m through point (h, k)
Here, we have m = 1/3, (h, k) = (-3, 5), so the point-slope equation is ...
y -5 = 1/3(x +3)
y = 1/3x + 1 + 5 . . . . eliminate parentheses, add 5
y = 1/3x +6 . . . . slope-intercept equation of the line
The answer is -3
You use the formula y1-y2
———
x1-x2
-1 and 8 are your y’s
1 and -2 are your x’s
Your equation should look like this
-1-8 -9
—— = —— = -3
1-(-2) 3
I plugged the y’s and x’s into the formula.
I hope this helps!!
Answer:
$31.88
Step-by-step explanation:
Given
Consumer charges = 2530.16cents
Consumer charges in dollars = $25.3016
Interest rate per day = 0.042%
Interest gotten per day = 0.042×25.3016
Interest per day = $1.06266
Interest in 30 days = ,30×1.06266
Interest in 30 days = $31.88
Answer:
17+6i
-----------
25
Step-by-step explanation:
2+3i
---------
4+3i
We want to multiply by the complex conjugate of the denominator
4+3i has a complex conjugate of 4-3i
2+3i 4-3i
--------- * --------------
4+3i 4-3i
Lets multiply the numerator
(2+3i) ( 4-3i)
2*4 +4*3i -3i*2 - 3i*3i =
8 +12i -6i - 9i^2
Remember i^2 = -1
8 +6i -9(-1)
17 +6i
Lets multiply the denominator
(4+3i) ( 4-3i)
4*4 +4*3i -3i*4 - 3i*3i =
16 +12i -12i - 9i^2
Remember i^2 = -1
16 -9(-1)
25
Putting numerator over denominator
17+6i
-----------
25
Answer:
answer: m = 125
Step-by-step explanation:
parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!