Use the quadratic formula to find the solutions:<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a </span></span></span>Substitute the values:
<span><span>a=−1</span><span>a=-1</span></span>, <span><span>b=0</span><span>b=0</span></span>, and <span><span>c=40</span><span>c=40 </span></span> into the quadratic formula and solve for <span>x </span><span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅40)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅40)</span></span></span><span>2⋅-1 </span></span></span>Simplify:
<span><span>x=±2<span>√10</span></span><span>x=±210 </span></span>The result can be shown in both exact and approximate form: <span><span>x=±2<span>√10</span></span><span>x=±210</span></span><span>x≈6.324555,−<span>6.324555
<em />I hope this helps. :)
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Answer:
O'(-3,-3) M'(-2,4) G'(-1-3)
Step-by-step explanation:
Rule: rotation of
counterclockwise around the origin gives 
Thus
O
will be O'
M
will be M'
G
will be G'
Therefore 
,
and 
would be the answer.
The picture in the attached figure
we know that
Area of circle=pi*r²
area of the shaded region=364*pi cm²
area of the shaded region=area of the outer circle -area of the<span> inside circle
</span>area of the outer circle=pi*[2x]²----> 4*x²*pi cm²
area of the inside circle=pi*6²------> 36*pi cm²
364*pi=4*x²*pi-36*pi------> 364=4*x²-36
4*x²=364+36-----> 4*x²=400
x²=400/4----> x²=100
x=10 cm
the answer isx=10 cm
The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190
Answer: first number is 190
Let
l------> the length side of the rectangle
w----> the width side of a rectangle
b----> the base of the triangle
h----> the height of the triangle
we know that
the area of the yard is equal to

Solve for b------> ( that means clear variable b)
Subtract
both sides


Divide by
both sides


therefore
<u>the answer is the option B</u>
The quantity A minus l times w all divided by 0.5 times h