Answer:
the third side is 40 m long
Step-by-step explanation:
The perimeter of the triangle is the sum of its three sides, and they give you what that value in meters is (120 m)
Your are given the length of two of them: 30 m and 50 m, and need to find the third one (let's call it "x" for this unknown side)
Now set the following equation:
Perimeter = side 1 + side 2 + side 3 --> replace these with the info you know
120 m = 30 m + 50 m + x --> add 30 m and 50 m obtaining 80 m
120 m = 80 m + x --> now solve for x (isolate the x on one side) by subtracting 80 m from both sides
120 m - 80 m = x --> perform the subtraction 120 m - 80 m = 40 m
40 m = x
Which tells us that the third unknown side has a length of 40 m
Answer:
72 square units
Step-by-step explanation:
- Identify the height
- Identify the length
- Multiply those two together
- That is your answer
H = 9 units
L = 8 units
A = H × L
A = 9 × 8
A = 72 square units
First you would need to convert the equation to match the y = mx + b format.
Subtract 2x from both sides to get -y = -2x + 3
Then, divide -1 (because that's the coefficient to -y, on all values, turning to equation into
y = 2x - 3 (negative and negative makes a positive that's why the 2 value is now positive) in order to make the y value positive.
Our y intercept is -3 so start your graphing line on the -3 value on the x axis.
Our slope is 2/1 which means to go up 2 point and right 1 point, since it's a positive slope.
You can mark every point in order to get a more accurate line and just connect the dots from there. Be sure to use a ruler or some sort of straightedge for a better line.
Hope this helped :)
Lets x and y are 2 accounts Paige invested
x account invested with annual interest rate 8.5%
y account invested with annual interest rate 10%
x + y =<span>15,250 so x = 15,250 - y
0.085x + 0.1y = </span><span>1,411.75
substitute </span>x = 15,250 - y into 0.085x + 0.1y = 1,411.75
0.085x + 0.1y = 1411.75
0.085(15,250 - y) + 0.1y = 1,411.75
1,296.25 - 0.085y + 0.1y = 1,411.75
0.015y = 115.5
y = 7,700
x = 15,250 - y
x = x = 15,250 - 7,700
x = 7,550
answer
$7,550 invested on account with annual interest rate 8.5%
$7,700 invested on account with annual interest rate 10%
