Hello,
A: roots: -1,-3
a point (-2,1)
Vertex=((-2,1)
y=k*(x+1)(x+3) using roots
but k*(-2+1)(-2+3)=1==>k*(-1)*1=1==>k=-1
eq: y=-(x+1)(x+3)
==>y=-(x²+3x+x+3)
==>y=-x²-4x-3
y=k(x+2)²+1 if x=-1,y=0 ==>k*1+1=0==>k=-1
==>y=-(x+2)²+1
Answer :A--> R,K
B)
y=k(x+4)²-2 and k=-1/2
y=-1/2(x+4)²-2
y=-1/2x²-4x-10
answer B--> I,≈W if it is written -1/2*x² (square has been forgotten)
C:
y=2x²-16x+30
y=2(x-4)²-2
answer : C-->S,J
D:
y=-(x+3)(x+1)
y=-x²-4x-3
=-(x+2)²+1
answer D--> V,L
E:
Here there is a problem: or the graph is wrong, or 2 equations are missing!
y=1(x+1)(x-3) using roots
y=x²-2x-3 ≈ T si it were -2x and not +2x.
y=(x-1)²-4 ≈H is it were -1 in place of +1 [H:y=(x+1)²-4]
Yes the sides are equal to each other
Answer:
A≈345.58cm²
Step-by-step explanation:
Radius= 5cm and the Height= 6cm
85−(6x+11)=6(x+8)+x
Step 1: Simplify both sides of the equation.<span><span>85−<span>(<span><span>6x</span>+11</span>)</span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span>85+<span><span>−1</span><span>(<span><span>6x</span>+11</span>)</span></span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span>(Distribute the Negative Sign)<span><span><span>85+<span><span>−1</span><span>(<span>6x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(11)</span></span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span><span><span>(6)</span><span>(x)</span></span>+<span><span>(6)</span><span>(8)</span></span></span>+x</span></span>(Distribute)<span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span><span>6x</span>+48</span>+x</span></span><span><span><span>(<span>−<span>6x</span></span>)</span>+<span>(<span>85+<span>−11</span></span>)</span></span>=<span><span>(<span><span>6x</span>+x</span>)</span>+<span>(48)</span></span></span>(Combine Like Terms)<span><span><span>−<span>6x</span></span>+74</span>=<span><span>7x</span>+48</span></span><span><span><span>−<span>6x</span></span>+74</span>=<span><span>7x</span>+48</span></span>Step 2: Subtract 7x from both sides.<span><span><span><span>−<span>6x</span></span>+74</span>−<span>7x</span></span>=<span><span><span>7x</span>+48</span>−<span>7x</span></span></span><span><span><span>−<span>13x</span></span>+74</span>=48</span>Step 3: Subtract 74 from both sides.<span><span><span><span>−<span>13x</span></span>+74</span>−74</span>=<span>48−74</span></span><span><span>−<span>13x</span></span>=<span>−26</span></span>Step 4: Divide both sides by -13.<span><span><span>−<span>13x</span></span><span>−13</span></span>=<span><span>−26</span><span>−13</span></span></span><span>x=2</span><span>Answer:
x=2</span>
