Answer:
(3, 2)
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
3x + y = 11 → (2)
Substitute y = 2x - 4 into (2)
3x + 2x - 4 = 11
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = (2 × 3) - 4 = 6 - 4 = 2
Solution is (3, 2)
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =
factoring with leading coefficient:
for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4
replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)
answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>
Answer:
x = 8
Step-by-step explanation:
29=7x + 5 -4x
add like terms: 29 = 3x +5
get your x variable on one side
24 = 3x
divide by 3
x = 8
check!
29 = 7(8) + 5 -4(8)
29 = 56 + 5 -32
29 = 51 - 32
29 = 29
Answer:
Step-by-step explanation:
Let 
, we need to determine 
, which can be found by applying the following property:
, 
(1)
Then,
Answer:
123.5 m^2
Step-by-step explanation:
The area of the whole rectangle is 9 x 19 = 171 m^2
The area of the region that isn't shaded is (5 x 19)/2 = 47.5 m^2 because the height of the triangle is 5 (9 - 4) and the area of a triangle is
(height x length)/2
171 - 47.5 = 123.5 m^2
