2x^2-4x-30 would be your answer
<span><span>(<span><span>2x</span>−10</span>)</span><span>(<span>x+3</span>)
</span></span><span>=<span><span>(<span><span>2x</span>+<span>−10</span></span>)</span><span>(<span>x+3</span>)
</span></span></span><span>=<span><span><span><span><span>(<span>2x</span>)</span><span>(x)</span></span>+<span><span>(<span>2x</span>)</span><span>(3)</span></span></span>+<span><span>(<span>−10</span>)</span><span>(x)</span></span></span>+<span><span>(<span>−10</span>)</span><span>(3)
</span></span></span></span><span>=<span><span><span><span>2<span>x2</span></span>+<span>6x</span></span>−<span>10x</span></span>−30
</span></span><span>=<span><span><span>2<span>x2</span></span>−<span>4x</span></span>−<span>30</span></span></span>
14 ounces is about .39 kilograms. So 14 ounces is greater than .4 kilograms
R represents radius or the distance between two points, the pythagorean expression will be
r² = Δx² + Δy²
Δ means the change, Δx means the change of x, Δy means the change of y
Given:
(x₁,y₁) = (-5,-1)
(x₂,y₂) = (0,2)
Input the numbers to the expression
r² = Δx² + Δy²
r² = (x₂ - x₁)² + (y₂ - y₁)²
r² = (0 + 5)² + (2 + 1)²
r² = 5² + 3²
r² = 25 + 9
r² = 34
r = √34
The distance is √34 unit length
25+N=61.
N= 36
So there is 36 numbers in Abby's cell phone.
a) The dimensions of original rectangle are length= 5 and width= 4.
b) The dimensions of new rectangle are length= 15 and width=8.
<u>Step-by-step explanation</u>:
- length of a rectangle = l
- width of a rectangle = w
- Perimeter of a rectangle = 2(l+w)
<u>Original rectangle</u> :
18 = 2(l+w)
18 = 2l + 2w ---------(1)
<u>New rectangle</u> :
46 = 2(3l+2w)
46 = 6l + 4w ---------(2)
<u>Solving the equations</u> :
Multiply (1) by 2 and subtract (2) from (1)
4l + 4w = 36
-(<u>6l + 4w = 46</u>)
<u>-2l = -10</u>
l = 10/2
length = 5 inches.
Substitute l=5 in (1)
18 = 2(5)+2w
18 = 10+2w
2w = 8
w = 8/2
width = 4 inches.
length of new rectangle = 3(l) = 3
5 = 15 inches.
width of new rectangle = 2(w) = 24 = 8 inches.
