Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
y = -3/8(x) + 3/2, slope = -3/8
slope of a line that is parallel = -3/8
2)5x+4y = 5
4y = -5x + 5
y = -5/4(x) + 5/4; slope is -5/4
slope of a line that is parallel = -5/4
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perpendicular, slope is opposite and reciprocal
3)
3x+8y = 11
8y = -3x + 11
y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3
4)
x = -7, slope is undefined
so slope of perpendicular line is 0
5)
3x+2y = 12
2y = -3x + 12
y = -3/2(x) + 6 ; slope = -3/2
5x - 6y = 8
6y = 4x - 8
y = 2/3(x) - 4/3; slope is 2/3
slope is opposite and reciprocal, so the equals are perpendicular
6)
3x + y = 5
y = -3x + 5; slope = -3
6x + 2y = -15
2y = -6x - 15
y = -3x - 7.5; slope = -3
both have slope = -3 so equations are parallel
The information shown here only shows a principal sum, a rate of interest and a period or time. There is no question as to what is needed. But suppose the need is for simple interest, then we calculate using the given information and the formula:
I = PRT
where I is simple interest, P is the principal, R is the rate per year, and T is time
P = 290, T is 6 months which is 0.5 years, R = 12.5 % which is written as 0.125 in decimal fraction.
I = 290 × 0.125 x 0.5 → I = 18.125
Therefore after 6 months , the interest earned will be 18. 125 dollars
Answer:
Exact Form:
f=-5/3
Decimal Form:
f= -1.6
Mixed Number form:
f= -1 2/3
Step-by-step explanation:
Solve for f by simplifying both sides of the equation , then isolating the variable .
Exact Form:
f=-5/3
Decimal Form:
f= -1.6
Mixed Number form:
f= -1 2/3
Answer:
74
Step-by-step explanation:
