Area of a triangle is base times height divided by 2. I multiplied 5 times 14 and got 70. The divided by 2 and got 35. soooo, 34?
Answer:
4x - 7y = 19
4(-4) - 7(-5) = 19
-16 - (-35) = 19
-16 + 35 = 19
19 = 19
(-4,-5) is a solution to given equation.
4(9) - 7(6) = 19
36 - 42 = 19
-6 ≠ 19
(9,6) is not a solution to given equation.
4(1) - 7(-3) = 19
4 - (-21) = 19
4 + 21 = 19
25 ≠ 19
(1, -3) is not a solution to given equation.
4(-6) - 7(2) = 19
-24 - 14 = 19
-38 ≠ 19
(-6,2) is not a solution to given equation.
_______________________________
<u>Note</u>:- <em>A solution to an equation is any value which when substituted to a variable would make the equation true.</em>
1/2•(bh) = A
bh/2= A
So, b= 2A/h
Answer:
k = - 2
Step-by-step explanation:
Lines g(x) and f(x) passes through the points (2, 0), (0, 2) & (4, 0), (0, 4)
Since both the lines are parallel, so slopes of lines g(x) and f(x) would be same.
Therefore,
Slope of line g = Slope of line f = (2-0)/(0 - 2) = 2/-2 = - 1
Equation of line g(x)
For point (0, 2)
y- intercept (b) = 2
y = mx + b
g(x) = - 1x + 2 [y = g(x)]
g(x) = - x + 2
Equation of line f(x)
For point (0, 4)
y- intercept (b) = 4
y = mx + b
f(x) = - 1x + 4 [y = g(x)]
f(x) = - x + 4
It is given that:
g(x) = f(x) + k
g(x) - f(x) = k
(-x + 2) - (-x + 4) = k
-x + 2 + x - 4 = k
2 - 4 = k
-2 = k
k = - 2
Answer: 3/2
Step-by-step explanation: Multiplicative inverse is just flipping the number. Its property when multiplied is always 1. 2/3 * 3/2 = 6/6 = 1