(3<span> x $9) + (</span>3<span> x </span>$1<span>) = $27 + $3 = </span>$30<span>.</span>
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 5
y1 = - 1
x2 = 4
x1 = 2
Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3
To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes
5 = 3 × 4 + c
c = 5 - 12 = - 7
The equation becomes
y = 3x - 7
8x -6 -8 = 4x +2
4x-14=2
4x=16
X=4
There are 1 quart in 2 pints, not 1 pint in 2 quarts
Answer:
<P = 26 degrees
<N = 130 degrees
Step-by-step explanation:
The sum of angle of a triangle is 180, hence
<M + <N + <P = 180
If the Measure of angle N is five times the Measure of angle P, then;
<N = 5<P
<M = 24 degrees
Substotute into the formula
24 + 5<P + <P = 180
24 + 6<P = 180
6<P = 180-24
6<P = 156
<P = 156/6
<P = 26 degrees
Since <N = 5<P
<N = 5(26)
<N = 130 degrees
Hence the measure of <P is 26 degrees and that of <N is 130 degrees
