1) √3 √7 = √21
2) √5 √245 = √5 √5 * 49 = √5 * 7√5 = 7 √5 * 5 = 7 √25 = 7 * 5 = 35
3) √77 ÷ √11 = as is. can't be simplified.
4) (√59)² = 59 ; the square root was cancelled by squared.
5) 3√6 x 8√7 = 3 * 8 √6 * 7 = 24 √42
6) 5√3 x 6 √3 = 5 * 6 √3 * 3 = 30 √9 = 30 * 3 = 90
7) 40√30 ÷ 5√3 = (40 / 5) * (√30 /√3) = 8 * ((√3 *10) / √3) = 8 √10
8) (6√5)² = 6² * √5² = 36 * 5 = 180
Answer:
x=3/4,y=5/2
Step-by-step explanation:
y=-x^2+4,y=2x+1
substitute y=-x^2+4 as y for y=2x+1
2x+1=-x^2+4, x=3/4(isolate "x")
x=3/4
substitute x=3/4 for 2x+1=-x^2+4
y=2*3/4+1
y=5/2
x=3/4, y=5/2
hope this helps!
Answer:
0.979%
Step-by-step explanation:
Given that:
Estimated value = 825 ;
Actual value = 817
Percentage error:
(|Estimated value - Actual value| ÷ actual value) * 100%
(|825 - 817| ÷ 817) * 100%
(8 / 817) * 100%
0.0097919 * 100%
= 0.979%
= 1% (nearest percent)
Answer:
-7-√15
Step-by-step explanation:
First move the constant to the right hand side and change it's sign
x^2+14x=-34
Then add (14/2)^2 or 7^2 to both sides
x^2+14x+49=-34+49
Then factor the expression
(x+7)^2=-34+49
Then solve (x+7)^2=15
You should get:
x=-√15-7
or
x=√15-7
9514 1404 393
Answer:
4.5%
Step-by-step explanation:
The interest is given by ...
I = Prt . . . . interest at annual rate r for t years on principal P
1008 = 5600r·4
1008/22400 = r = 0.045 = 4.5%
The annual interest rate on the loan is 4.5%.
