Answer:
The 2 numbers are 512.8 and 487.2.
Step-by-step explanation:
Let the numbers be x and y, then:
x + y = 1000............(1)
x^2 - y^2 = 25600
(x + y)(x - y) = 25600
1000(x - y) = 25600
x - y = 25.6............(2)
Adding (1) + (2):
2x = 1025.6
x = 512.8
so y = 1000 - 512.8
y = 487.2.
Answer:
Conversion a mixed number 16 3
8
to a improper fraction: 16 3/8 = 16 3
8
= 16 · 8 + 3
8
= 128 + 3
8
= 131
8
To find new numerator:
a) Multiply the whole number 16 by the denominator 8. Whole number 16 equally 16 * 8
8
= 128
8
b) Add the answer from previous step 128 to the numerator 3. New numerator is 128 + 3 = 131
c) Write previous answer (new numerator 131) over the denominator 8.
Sixteen and three eighths is one hundred thirty-one eighths
Conversion a mixed number 9 5
8
to a improper fraction: 9 5/8 = 9 5
8
= 9 · 8 + 5
8
= 72 + 5
8
= 77
8
To find new numerator:
a) Multiply the whole number 9 by the denominator 8. Whole number 9 equally 9 * 8
8
= 72
8
b) Add the answer from previous step 72 to the numerator 5. New numerator is 72 + 5 = 77
c) Write previous answer (new numerator 77) over the denominator 8.
Nine and five eighths is seventy-seven eighths
Subtract: 131
8
- 77
8
= 131 - 77
8
= 54
8
= 2 · 27
2 · 4
= 27
4
The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 8) = 8. Cancelling by a common factor of 2 gives 27
4
.
In words - one hundred thirty-one eighths minus seventy-seven eighths = twenty-seven quarters.
Step-by-step explanation:
Answer: y=-2/5x-3/5
Step-by-step explanation:
y=-2/5x+3
x=-2/5y+3
x(5y+3)=-2/5y+3×5y+3
x(5y+3)=-2
Devide by X on both sides
5y+3=-2/x
5y=-2/x-3
y=-2/5x-3/5
Answer:
Option (4). y = 3x - 5
Step-by-step explanation:
Given question is incomplete; here is the complete question.
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?
y = –1/3x + 5
y = –1/3x + 3
y = 3x + 2
y = 3x − 5
Line given in the graph passes through the points (-3, 2) and (0, 1).
Slope of the given line = 
m = 
m = 
Let the equation of a line perpendicular to this line is,
y - y' = m'(x - x') [Given line passes through (x', y')]
By the property of perpendicular lines,
m × m' = -1
() × m' = -1
m' = 3
Equation of the perpendicular line will be,
y - 4 = 3(x - 3)
y - 4 = 3x - 9
y = 3x - 5
Option (4) will be the answer.
