To simplify (-2+b^2)-(7+b^2), first distribute the -1 to both terms in the second parenthesis.
-2+b^2-7-b^2
Combine like terms.
-9 (1-1=0, so the b^2 is canceled out.)
(-2+b^2)-(7+b^2)=-9
Answer:
5cm
Step-by-step explanation:
To find the missing side we use the hypotenuse theorem.
a^2 + b^2 = c^2
The longest side of the triangle would be c. So substitute the numbers into the variables.
a^2 + 12^2 = 13^2
a^2 = 13^2 - 12^2
a^2 = 169 - 144
a^2= 25
a = √25
a=5
The missing leg's length is 5cm
Answer:
Step-by-step explanation:
-The total volume will be the sum of the volumes of the triangular section plus the rectangular section.
#Volume triangular section:
#Volume rectangular section:
#Total volume of the doorstep:
Hence, the doorstep's volume is 
Answer:
(5.871 `; 6.127)
Step-by-step explanation:
Given :
Mean = 6
Standard deviation. σ = 0.5
Samplr size, n = 100
Zcritical at 99% confidence = 2.58
The confidence interval :
Mean ± margin of error
Margin of Error = Zcritical * σ / sqrt(n)
Margin of Error = 2.58 * 0.5/sqrt(100) = 0.129
Confidence interval :
Lower boundary = 6.00 - 0.129 = 5.871
Upper boundary = 6.00 + 0.129 = 6.129
(5.871 `; 6.127)
Answer:
F(-6)=10
Step-by-step explanation:
From the set of ordered pairs we have,
(-6,10)
This means that when we substitute
x=-6 into the function the result is 10.
Thus,
The last choice is the correct option
