1) Line should be parallel to y = 3x+6, so slope of this line should be =3.
y=mx +b
y=3x +b
Now we have to find b (y-intercept), using the point (-10, 2.5).
2.5 = 3*(-10)+b
b=2.5+30=32.5
y=3x + 32.5
2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.
Now we have to find b (y-intercept), using the point (-16, -11).
y=(1/4)x +b
-11=(1/4)*(-16) + b
-11 = -4 +b
b = -7
y=(1/4)x - 7
Answer:
Brian have £105 left.
Step-by-step explanation:
Given,
Amount earned by Brian per week = £168
Fraction spent on rent = 1/8
Amount spent on rent = 1/8 x 168
Amount spent on rent = £42
Fraction spent on food = 1/8
Amount spent on food = 1/8 x 168
Amount spent on food = £21
Amount left = Amount earned - amount spent on rent - amount spent on food
Amount left = 168 - 42 - 21
Amount left = £105
Brian have £105 left.
I hope this helps you
Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have
The least common multiple are those common and non-common numbers with the greatest exponent
so
Answer:
4^4= 4^-1(3r+2)
4^4= 4^(-3r-2)
-3r-2 = 4
-3r= 6
r= -2
-
Step-by-step explanation:
Step-by-step explanation:
Below is an attachment containing the solution.
