Answer:
(-1,0)
Step-by-step explanation:
Given:
Slope of line F = 
Slope of line G = 
To find:
The conclusion about distinct lines F and G.
Solution:
We have,
Slope of line F =
= 
Slope of line G =
=
The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.
Therefore, the line F and line G are parallel to each other.
Answer:
Cost of bolts = x = $0.3
Cost of washers = y = $0.167
Step-by-step explanation:
Let us represent:
Cost of bolts = x
Cost of washers = y
Luke buys 4 bolts and 6 washers for $2.20
Hence:
4x + 6y = 2.20....Equation 1
Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store.
3x + 5y = 1.80....Equation 2
Combining both Equations
4x + 6y = 2.20....Equation 1
3x + 5y = 1.80....Equation 2
Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x
12x + 18x = 6.6.....Equation 4
12x + 20x = 7.2.......Equation 5
Substract Equation 4 from 5
= 2x = 0.6
x = 0.6/2
x = $0.3
Solving for y
4x + 6y = 2.20....Equation 1
4 × 0.3 + 6y = 2.2
1.2 + 6y = 2.2
6y = 2.2 - 1.2
6y = 1.0
y = 1.0/6
y = $0.167
Cost of bolts = x = $0.3
Cost of washers = y = $0.167
-4 1÷5 - (- 13 1÷10)
first we should turn these into improper fractions by multiplying the whole number by the denominator then add the numerator.
4 × 5 = 20 + 1 = 21
13 × 10 = 130 + 1 = 131
(-21/5) - (-131/10)
To subtract fractions we want to find a common denominator so we can multiply the numerator and denominator of (-21/5) by 2 to get (-42/10)
(-42/10) - (-131/10)
Since we are subtracting a negative, that becomes a positive
(-42/10) + 131/10
131 - 42 = 89
89/10
Now we can change it back into a mixed fraction:
8 and nine-tenths or 8 9÷10
Answer:
b 24:8
Step-by-step explanation:
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