M = -2
In perpendicular lines, the slopes are opposite reciprocal. This means you flip the sign (from + to - or from - to +) and flip the numerator and denominator.
So 1/2 becomes negative, and 2/1 = 2
So the slope is -2
Answer:
Equation of axis of symmetry is x = 2
Step-by-step explanation:
The equation of the parabola is given as;
y = -2x² + 8x - 7
The equation of the axis of symmetry is given by;
x = -b/2a
In the parabola equation given and using letters of quadratic equation, we can say that;
a = - 2
b = 8.
c = -7
Thus;
x = -b/2a = -8/(2 × - 2)
x = 8/4
x = 2
Equation of axis of symmetry is x = 2
The number in the ones place= X
The number in the tenths place= y
y+x=14.
y=14-x
Original placement of numbers=10y+x
New placement of numbers(after subtraction of 36)= 10x+y
10y+ x-36=10x+y
Substitute y with 14-x
So we would get
10(14-x)+ x-36=10x+(14-x)
=140-10x+x-36=10x+14-x
After transposing we get
140-14-36=10x-x+10x-x
=90=18x
X=90/18
x=5
Y=14-x
=14-5
=9
So the two digit number is
10y+x
=90+5
=95
Answer:
3.2t - 2.4
Step-by-step explanation:
Given
- 3.6 - 1.9t + 1.2 + 5.1t ← collect like terms
= (- 1.9t + 5.1t) + (- 3.6 + 1.2)
= 3.2t + (- 2.4)
= 3.2t - 2.4
If I understand the question correctly, you can have the same amount of change be two different percentages by having 4 quarters and 100 pennies.
Each quarter is 25%
Each penny is 1%
(am i explaining this right)
