Answer:
The answer is 5
Step-by-step explanation:
6÷30=5
6×5=30
Answer:
(x, y) = (1, -1)
Step-by-step explanation:
We'll write these equations in general form, then solve using the cross-multiplication method.
43x +67y +24 = 0
67x +43y -24 = 0
∆1 = (43)(43) -(67)(67) = -2640
∆2 = (67)(-24) -(43)(24) = -2640
∆3 = (24)(67) -(-24)(43) = 2640
These go into the relations ...
1/∆1 = x/∆2 = y/∆3
x = ∆2/∆1 = -2640/-2640 = 1
y = ∆3/∆1 = 2640/-2640 = -1
The solution is (x, y) = (1, -1).
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<em>Additional comment</em>
The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)
Y=-2x+4
If the first number in a ordered pair is zero then the second is your b
The area for a trapezoid is A = 1/2 h (base 1 + base 2). You have the top base of 8. But straight down underneath that is also a base of 8. Next to that 8 you have a 4, so thus far you have a bottom base of 8 + 4. But you're missing what's over on the left. That base measure of that triangle is also 4, because the triangles are congruent. So the whole bottom base is 4 + 8 + 4 = 16. Now you have everything you need: A = 1/2 (6) (8 + 16). Do the addition inside the parenthesis first to get 24. Now multiply that by 6 to get 144. Now finally, divide that by 2 to get 72 cm^2
Answer:
Step-by-step explanation:
Given the expression of the area model as:
10x^2-8x-24
Factorize:
(10x^2-20x)+(12x-24)
factor out the GCF
10x(x-2)+ 12(x-2)
(10x+12)(x-2)
<h3>Hence the two terms that forms the area of the model above are 10x+12 and x-2</h3>