The sum of three consecutive even integers is 108. What is the largest number?a.34
b.35
c.37
d.38
Answers
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Answers
Answer:
x=8
Step-by-step explanation:
Area of a rectangle=length×width
Area=104
Width=x
Length=5+x
104=x*(5+x)
104=5x+x^2
104-5x-x^2=0
x^2+5x-104=0
Can also be written as
-x^2-5x+104=0
Solve the quadratic equation using formula
−x2−5x+104=0
using the Quadratic Formula where
a = -1, b = -5, and c = 104
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(104)/2(−1)
x=5±√25−(−416)/−2
x=5±√441/−2
The discriminant b^2−4ac>0
so, there are two real roots.
Simplify the Radical:
x=5±21/−2
x=-26/2 or 16/2
x=-13 or 8
The value of x can't be negative
So, x=8 is the answer
(I think it easy lol)
Answers
Answer:
no.2 no.5
Step-by-step explanation:
i don't know how to explain
have a good rest of your day
Answer:
question (1) c^2=a^2+b^2
Step-by-step explanation:
pythagoras theorem
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180 rotation i took the test all the other ones were wrong
Answer:
180
Step-by-step explanation:
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(screenshot included)
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Answer:
32÷35=0.9142857142857143
Answer:
decimal equivalent is .91429 (simplified)
he likely made the mistake of dividing 35 by 32 instead of the other way around
Step-by-step explanation:
to find the answer you divide 32 by 35 instead of dividing 35 by 32
Answers
Answer:
Length of an isosceles triangle is, 3.12 m
Step-by-step explanation:
Given: Perimeter of an isosceles triangle is 15.6 m.
Let a be the length of sides and b be the base of an isosceles triangle respectively.
To find the length of the sides(a);
Isosceles triangle is a triangle with two equal sides and two equal base angles.
Perimeter of the isosceles triangle is the sum of the three sides i,e
Perimeter(P) = a +b +a = 2a +b
also it is given that; the base is 3 m bigger than a leg.
⇒ b = 3 a
Substitute this in perimeter formula;
P = 2a +3a =5a
Substitute the value of perimeter = 15.6 m
we have;
Divide both sides by 5 we get;
Simplify;
a = 3.12 m
Therefore, the length of the sides of an isosceles triangle is, 3.12 m
Answer:
The legs are 4.2m long.
The base is 7.2m long.
Step-by-step explanation:
x=leg
y=base
We can write two equations with the information given.
y=x+3
2x+y=15.6
We can solve this as a system of equations.
y=x+3
-(2x+y=15.6) - make the bottom equation negative.
-2x=x-12.6 - add the bottom to the top, canceling out the y.
-2x+12.6=x - add 12.6 to both sides.
12.6=3x - add 2x to both sides.
4.2=x - divide both sides by 3.
x=4.2
Now we can solve for y.
y=x+3
y=(4.2)+3 - substitute in the x.
y=7.2