First thing to do is to move the constant over to the other side of the equals sign. Then we will complete the square on the x terms. We will take half the linear term, square it, then add it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4.
. In the process of completing the square we have created a perfect square binomial on the left which is
. A is our answer.
Answer:
x = 2.564 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log
⇔ n logx
Given
= 62 ( take the ln of both sides )
ln = ln 62, that is
x ln5 = ln 62 ( divide both sides by ln 5 )
x = 
≈ 2.564
Answer:
AB = 33.78228208
BD = 42.3
AT= 20.33068487
Area= 859.9879701
Step-by-step explanation:
Using the sin rule:
<u>sinA </u> = <u>sinB</u>
a b
If I use A = 90, a= 42.3
B = 53, b= AB
I get AB = 33.78228208 units
Then the diagonal is already 42.3 cm so I think. BD should be 42.3 cm too.
I used the sin rule again for ABD to find AD but by using B as 37° and b as AD.
I get AD = 25.45677548
For ADT,
AD is the hypotenuse.
Now I get from the same sin rule,
A= 90°. a= 25.45677548
B= 53°. b = AT
AT= 20.33068487 units.
Area of rectangle = l×b
= AB × AD
so that gives me 859.9879701 square units
Answer:
answer A : (2 -5)
Step-by-step explanation:
the midipoint P,Q is the center A of this circle (because PQ is a diameter)
use : (x-6)²+(x+5)² = 16 you have : A(6 , -5) now let Q(x,y) :
(x+10)/2 = 6
(y-5)/2 = - 5
x+10 = 12
y-5 = -10
so : x = 2 and y = - 5....answer A : (2 -5)
