Solve the equation for t. (t-7)^2+18=9

Mathematics

1 answer:

Anika [276]2 years ago

4 0

Answer:

t = 7 + 3i

Step-by-step explanation:

(t-7)^2 + 18 = 9

(t-7)^2 = 9 - 18

(t-7)^2 = -9

(t-7) = sqrt(-9) = |3| sqrt(-1)

t = 7 + 3i

You might be interested in

Please help me with this problem!

pantera1 [17]

12/100x10000 = 1200

17/100x8000= 1360

1360+1200 = 2560

18000 - 2560 = $15,440 (final cost)

5 0

2 years ago

An evil supervillian has launched a drone from his/her submarine. The drone's height, in meters above sea level, as a function o

adelina 88 [10]

Answer:

the maximum height is 1054.500 meters

Step-by-step explanation:

h ( t ) = − 4.9t^2 + 133t + 152

a= -4.9 , b= 133 and c= 152

To find maximum height , we find vertex

$x= \frac{-b}{2a}=\frac{-133}{2(-4.9)}= 13.5714$

Now plug in 13.5714 for 't' in h(t)

$h(t) =-4.9t^2 + 133t + 152$

$h(t)=-4.9( 13.5714)^2 + 133( 13.5714)+ 152=1054.500$

the maximum height = 1054.500 meters

7 0

3 years ago

Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4%

bogdanovich [222]

Mr. Jackson invested $800 at 6% per year and $ 2400 at 4 % per year

<h3><u>Solution:</u></h3>

Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4% per year.

Let the sum invested be ‘a’ and ‘3a’ at 6% per year and 4 % per year respectively

Also, his annual return totaled $144

We can form following equation on the basis of question:-

$\begin{array}{l}{\text { Then, } \frac{a \times 6 \times 1}{100}+\frac{3 a \times 4 \times 1}{100}=\$ 144} \\\\ {\frac{6 a}{100}+\frac{12 a}{100}=144} \\\\ {\frac{6 a+12 a}{100}=144} \\\\ {\frac{18 a}{100}=144} \\\\ {18 a=14400} \\\\ {a=14400 \div 18}\end{array}$