The answer is √32 because the triangle is an isosceles triangle meaning two sides are the same length so two sides are 4 and then you use the Pythagorean theorem to find the value of r
Answer:
y = 3.99 + 0.5x
Step-by-step explanation:
y = 3.99 + 0.5x
y = total cost
x = amount of toppings
A and b are legs
a^2+b^2=c^2
lets say
a>b
so
a=13+3b
c=14+3b
a^2+b^2=c^2
(13+3b)^2+b^2=(14+3b)^2
9b^2+78b+169+b^2=9b^2+84b+196
10b^2+78b+169=9b^2+84b+196
minus 9b^2 both sides
b^2+78b+169=84b+196
minus 84b both sides
b^2-6b+169=196
minus 196 both sides
b^2-6b-27=0
factor
(b+3)(b-9)=0
set to zero
b+3=0
b=-3, false, dimentions cannot be negative
b-9=0
b=9
shorter leg is 9
a=13+3b
a=13+3(9)
a=13+27
a=40
c=14+3b
c=14+27
c=41
side legnths are
9in, 40in, 41in
The vendor sold 124 sodas and 90 hot dogs.
Step-by-step explanation:
Let,
x be the number of sodas.
y be the number of hot dogs.
Total sold = 214
According to given statement;
x+y=214 Eqn 1
y= x-34 Eqn 2
Putting value of Eqn 2 in Eqn 1;
Dividing both sides by 2;
Putting x=124 in Eqn 2;
The vendor sold 124 sodas and 90 hot dogs.
Keywords: linear equations, substitution method
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