There is only 1 such plane, so answer is D. 1.
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:
(x,y) maps to (-y,x).
Step-by-step explanation:
Use vertex I as an example.
Pre-image I is graphed at point (-3,2), while image I' is graphed at point (-2,-3) .
In order to change between these points, the x and y coordinates must be swapped, as well as multiplying the y coordinate by -1.
Answer:
V=28.203 yd.
Step-by-step explanation:
V= 1/3 Bh. B= 1/2(l×w) h= 7.9
V= 1/3( 10.71×7.9) B= 1/2(3.4×6.3) l=3.4
V=1/3(84.609) B= 1/2(21.42) w=6.3
V=28.203 B= 10.71
Answer:
x=2
Step-by-step explanation:
Sense this is an isosceles trapezoid (side lengths are congruent) opposite angles (85 and 44x+7) are supplementary (add up to 180 degrees).
<u>85</u>+44x+<u>7</u>=180
<em>Combine like terms.</em>
44x<u>+92</u>=180
<em>Do inverse operations (First, Subtract 92 from each side of the equation.)</em>
<u>44</u>x=88
<em>Then, divide 44 from both sides to solve for x.</em>
x=2