Answer:
s=650
Step-by-step explanation:
s=n/2(2a+(n-1)d)
s=20/2[2x4+(20-1)3]
s=20/2(2x4+19x3)
s=20/2(8+57)
s=20/2x65
s=10x65
s=650
Answer:
m=2
b=1
y=2x+1
Step-by-step explanation:
First, slope is change in y over change in x, or rise over run. Plugging these points in, (y2-y1)/(x2-x1)=(1--5)/(0--3), or 6/3, simplifying, the slope= 2.
Next, the y-intercept is where the line intersects the y-axis, or when x is 0. Looking at the point (0,1), the y intercept is 1.
Using slope intercept form, y=mx+b, or y=2x+1.
Answer:
Scale Factor is: When you divide the old shape by the new shape (explanation is here)
Step-by-step explanation:
When you have 2 shapes (lets say Y is the old shape and F is the new shape) you would divide the old shape (Y) by the new shape (F)
Another example: lets say shape F is 12 cm and shape Y is 7 cm (F being the old and Y being the new shape) you would divide 12 and 7 to get the answer to that problem
A)2y - 1/2 = -1/3
2y=-1/3+1/2
FIND THE LCM TO MAKE THE FRACTIONS LIKE FRACTIONS
LCM OF 3 AND 2 IS 6
-1/3*2=-2/6
1/2*3=3/6
-2/6+3/6=1/6
2y=1/6
y=1/6 ÷ 2
TAKING THE RECIPROCAL,
RECIPROCAL OF 2 IS 1/2
y=1/6*1/2
y=1/12
B) 6 + 5 (a - 1) = 30
6+(5)*(a)+(5)*(−1)=30(Distribute)
6+5a+−5=30
(5a)+(6+−5)=30(Combine Like Terms)
5a+1=30
5a=30-1
5a=29
a=29/5
15.sum of three consecutive integers=48
let the numbers be x ,x+1,x+2
x+x+1+x+2==48
3x+3=48
3x=48-3
3x=45
x=45/3
x=15
x+1=15+1=16
x+2=15+2=17
the numbers are 15,16,17
Answer: B) Linear; it can be written as y = -3x-6
We subtract 6 from both sides to go from the original equation to -3x-6 = y
Then we flip both sides to end up with y = -3x-6
This is in slope intercept form y = mx+b with m = -3 as the slope and b = -6 as the y intercept.
