Answer:
Step-by-step explanation:
The GCF of 11 and 14 is 1.
<span>f(x<0)=-f(x>0)=-x^2+5x+12
When x>0, x^2-5x-12=12, x=8, y=12
Therefore, f(x)=12 goes through point (8,12).</span>
The area of the trapezoid is calculated through the equation,
A = 0.5(b₁ + b₂)h
where A is area, b₁ and b₂ are the lengths of the bases and h is the height. Substituting the known values,
A = 0.5(15 m + 19 m)(10 m)
A = 170 m²
The area of the garden is 170 m².
Simplify 1/3(6x - 15) to 6x - 15/3
6x - 15/3 = 1/2(10x - 4)
Factor out the common term; 3
3(2x - 5)/3 = 1/2(10x - 4)
Cancel out 3
2x - 5 = 1/2(10x - 4)
Simplify 1/2(10x - 4) to 10x - 4/2
2x - 5 = 10x - 4/2
Factor out the common term; 2
2x - 5 = 2(5x - 2)/2
Cancel out 2
2x - 5 = 5x - 2
Subtract 2x from both sides
-5 = 5x - 2 - 2x
Simplify 5x - 2 - 2x to 3x - 2
-5 = 3x - 2
Add 2 to both sides
-5 + 2 = 3x
Simplify -5 + 2 to -3
-3 = 3x
Divide both sides by 3
- 1 = x
Switch sides
<u>x = -1</u>
Answer:
Jacob, when you multiply a whole number by a decimal you get a number smaller than the whole number you started off with.
Step-by-step explanation: