It's going to be a 3x2. Im assuming its [ 5 10 on the first row, second row would be -2, -4, then the bottom row would be 1, 2] Hope I helped!
Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
I can't answer this question if we don't know by what scale the cylinder's radius was reduced. Luckily, I found the same problem that says the radius was reduced to 2/5. So, we find the ratio of both volumes.
V₁ = πr₁²h₁
V₂ = πr₂²h₂
where r₂ = 2/5*r₁ and h₂ = 4h₁
V₂/V₁ = π(2/5*r₁ )²(4h₁)/πr₁²h₁= 8/5 or 1.6
<em>Thus, the volume has increased more by 60%.</em>
You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3
Answer:
2500 grams
Step-by-step explanation:
1kg=1000g
2.5kg=1000×2.5
=2500
