Answer:
C(-4,-2), D(3,-7)
Step-by-step explanation:
we procced to identify points:
A(-4,-7), B(3,-2)
for being the sides of a rectangle parallel to the axes, we find the other two vertices (VIEW GRAPH)
C(-4,-2), D(3,-7); Area of the rectangle Ar=b*h, where
So Ar=(3-(-4))*(-2-(-7)) = (3+4)*(-2+7)=7*5=
Answer: their bank balance would be
- 64.49
Step-by-step explanation:
They have 100 in savings and 121.50 in their bank account. It means that the total amount that they have to buy the freezer is
100 + 121.5 = 221.5
The cost of the freezer is 285.99. If they buy the freezer, the amount that would be left in their bank account or the bank balance would be
221.5 - 285.99 = - 64.49
The negative value is due to the face that they the cost of the freezer is higher than what they have in total.
I believe the answer is A, the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and the smallest. Range gives an overall spread of data from the lowest to the largest and thus can be influenced by anomalies, standard deviation on the other hand, takes into account the variable data/spread about the mean and allows for statistical use so inferences can be made.<span />
Subtract sqrt(3) to both sides so that the equation becomes -3x^2 + 7x + 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [-b ± √(b^2 -4ac) ] / (2a)
x = [ -7 ± √((7)^2 - 4(-3)(2)) ] / ( 2(-3) )
x = [-7 ± √(49 - (-24) ) ] / ( -6 )
x = [-7 ± √(73) ] / ( -6)
x = [-7 ± sqrt(73) ] / ( -6 )
x = 7/6 ± -sqrt(73)/6
The answers are 7/6 + sqrt(73)/6 and 7/6 - sqrt(73)/6.
