Answer:
x≤−9 or x≥5 or x=0
Step-by-step explanation:
Let's solve your inequality step-by-step.
x2(x+9)(x−5)≥0
x4+4x3−45x2≥0
Let's find the critical points of the inequality.
x4+4x3−45x2=0
x2(x−5)(x+9)=0(Factor left side of equation)
x2=0 or x−5=0 or x+9=0(Set factors equal to 0)
x=0 or x=5 or x=−9
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤−9(Works in original inequality)
−9≤x≤0(Doesn't work in original inequality)
0≤x≤5(Doesn't work in original inequality)
x≥5(Works in original inequality)
Answer:
x≤−9 or x≥5 or x=0
I also recommend MathPapa or Symbolab to help you with your math.
Answer:
4
Step-by-step explanation:
The first triangle has the ratios 10:6:8. The next one has the ratios 5:3:x. If you have paid close attention, you can divide the first one by 2 to get the second one. 8/2 is 4 so the correct answer is 4.
Hope this helps plz mark brainliest if correct :D
Answer: The span of the bridge is 59.77ft
Step-by-step explanation:
The standard form of equation for an ellipse with vertical major axis is:
(x-h)^2/b^2+(y-k)^2/a^2=1,a>b, (h,k)=(x,y) coordinates of center.
For given problem:
Place center of ellipse, (0,0) at center of bridge at ground level.
Given length of vertical major axis=70=2a
a=35
a^2=1225
Equation of an ellipse with horizontal major axis with center at (0,0)
Equation of ellipse:
x^2/b^2+y^2=1
plug in coordinates of given point on ellipse(27, 15)
27^2/b^2+15^2/a^2=1
729/b^2+225/1225=1
729/b^2=1-225/1225= 0.816
b^2=729/0.816≈ 893
b≈29.88
length of minor axis=2b≈59.77 ft
span of bridge≈59.77 ft
Triangle=1
Diamond=3
Hex=7
Proofs:
1+3+3=7
1+1+1=3
1+3+7=11
7-3=4*1
The answer is letter C the communative property
