Answer:
10
Step-by-step explanation:
c²=b²+a²=100
so
c=10
jjthj
Answer:
(-5,9+√8)
Step-by-step explanation:
There are two ways in which you can find a point that lies in the circle. One of them is to do y the subject of the formula, and another one is to determine the center of the circumference, and with the information of the radius, you can sum this value upward or downward.
the general equation of a circle is:
with center at (h,k)
you have the following equation:
Then, the center is (-5,9)
if you sum the value of the radius in one of the fourth directions (up, down, left, right), for example upward you have
Then, one point that lies in the circle is (-5,9+√8)
So if you want it to be 9 less than your number (x) then you would subtract nine.
So it would be:
x - 9.
So if your "number" is 12 then you would substitute x for 12 and it would be 12-9. The answer is 3. So 3 is 9 less than a number (12).
I believe
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
_____
<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Answer:
Yes Maggie has enough money to purchase the dress and hair accessory.
Step-by-step explanation:
Dress = $35.75
Hair accessory = $2.80
Total amount of money = $40
Does her have enough money?
Total Money in pocket - (Dress cost + hair accessory)
$40.00 - ($35.75 + 2.80)
$40.00 - ($36.00 + $3.00) Round to the nearest dollar
$40.00 - $39.00 = $1.00
Yes
