Answer: 2x^2-7x-15
Step-by-step explanation:
reorder the terms (x*2+3)*(x-5)
multiply the parentheses
(2x+3)*(x-5)
collect like terms (2x^2-10x+3x-15)
product= 2x^2-7x-15
Answer:
7/8 > 5/6
Step-by-step explanation:
A) 7/8
We can compare this as follows.
Lets say both are equal.
Cross multiplying these we get 40=42
We get 40<42. In fraction we get
In case if you want to convert this to decimal, we get;
5/6 = 0.833 and 7/8 = 0.875
We get 5/6<7/8
B) 4/5
Similarly we get 4/5 = 0.8 and 5/6 = 0.833
Here 4/5<5/6
C) 3/4
we get 3/4 = 0.75 and 5/6 = 0.833
3/4<5/6
D) 2/3
we get 2/3 = 0.66 and 5/6 = 0.833
2/3<5/6
Step-by-step explanation:
The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
Answer:
the first one
Step-by-step explanation:
Answer:
32 ft
Step-by-step explanation:
The length of the larger rectangle is double that of the smaller one. If we assume the rectangles are similar, the perimeter will be double as well:
2·(16 ft) = 32 feet . . . . perimeter of larger rectangle
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The width of the larger one is 2·1.8 ft = 3.6 ft.
