Answer:
The equal sides' length = 10
Third side length = 18
Step-by-step explanation:
Let the two equal sides' length be "x"
Let the third side length be "y"
Third side (y) is 2 LESS THAN TWICE the equal side, so we can write:
y = 2x - 2
The perimeter is 38. The perimeters is the sum of all three sides. So we can write:
x + x + y = 38
Replacing y with 2nd equation, we have:
x + x + (2x - 2) = 38
Now, we can solve this for x first:
Now, y is:
y = 2x - 2
y = 2(10) - 2
y = 20 - 2
y = 18
The equal sides' length = 10
Third side length = 18
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
Answer:
120 ft ^2
Step-by-step explanation:
Volume= lwh
Volume= 16(3)(2 1/2)
Volume= 120 ft^2
To write a slope intercept equation you need the slope and the y intercept which is b. The slope of y=x is 1 and to find a perpendicular slope you flip it and make it the opposite sign so in this case is would still be 1\1 but now it will be negative so your slope is -1 and you plug in 2 for x and 2 for y into the equation y=mx+b and m=your slope (which is -1) to find the value of b. so you get y=-1(2)+b. When you solve you get b=4 and then rewrite the intercept slope equation which is y=mx+b and plug in your slope for m and 4 for b so your final answer is y=-1x+4
The tenths are 43.59 to the hundreths is 43.600 and the ones are to 40.000