Answer:
Addition property of equality
Step-by-step explanation:
anytime it has the + sign its addition
880 because thats what my calculator said
Answer:
11.43
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The width of border is 1.5 feet
<h3><u>
Solution:</u></h3>
Given that small garden measures 9 ft by 13 ft
A uniform border around the garden increases the total area to 192 ft square
To find: width of border
Let the width of border be "x"
Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet
The total area of garden = 192 square feet
<em><u>Let us solve the above equation by quadratic formula</u></em>
Using the above formula,
For , we have a = 4 ; b = 44 ; c = -75
Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,
Since "x" cannot be negative,
we get x = 1.5
Thus width of border is 1.5 feet
Answer:
Anita= 25 years old
Sumbo= 10 years old
Step-by-step explanation:
Start by forming 2 equations that represent the given information.
Let Anu's and Sumbo's ages be A and S respectively.
A= S +15 -----(1)
A² +S²= 725 -----(2)
Now, solve for A and S by substitution.
Substitute (1) into (2):
(S +15)² +S²= 725
Expand:
S² +2(S)(15) +15² +S²= 725
2S² +30S +225= 725
-725 on both sides:
2S² +30S -500= 0
Divide both sides by 2:
S² +15S -250= 0
Factorise:
(S +25)(S -10)= 0
S +25= 0 or S -10= 0
S= -25 (reject) or S= 10
Sumbo's age cannot be a negative value hence -25 is rejected.
Substitute S= 10 into (1):
A= S +15
A= 10 +15
A= 25