Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
Answer:
13.5
Step-by-step explanation:
6 x^2
Let x= 1.5
6 ( 1.5) ^2
6 *2.25
13.5
Answer:
Direct.
Step-by-step explanation:
A varies directly as the square of r.
Answer:
$2063.44
Step-by-step explanation:
1st week = $439.50
2nd and 3rd week = 62 hours and each hour = $22.79
Total amount earned in 2nd and 3rd week = 62 * 22.79 = $1412.98
4th week = 48% of what she earned in her first week = 48% of $439.50
4th week = (48 / 100) * 439.50 = $210.96
Total amount she earned = 1st week + 2nd & 3rd week + 4th week
Total amount = $439.50 + $1412.98 + $210.96
Total amount = $2063.44
She earned a total of $2063.44
Answer:
The playground is 160ft by 360ft.
The model is 4in by 9in
First, 1ft = 12 inches.
Then the measures of the playground, in inches, is:
160*12in = 1920 in
360*12in = 4320in
The playground is 1920in by 4320in.
Then, the ratios between the measures of the playground and the model are:
1920in/4in = 480
4320in/9in = 480
This means that each inch in the model, represents 480 inches in the actual playground.
