Answer:
y=3
Step-by-step explanation:
Let's solve your equation step-by-step.
5y−3y+1=7
Step 1: Simplify both sides of the equation.
5y−3y+1=7
5y+−3y+1=7
(5y+−3y)+(1)=7(Combine Like Terms)
2y+1=7
2y+1=7
Step 2: Subtract 1 from both sides.
2y+1−1=7−1
2y=6
Step 3: Divide both sides by 2.
2y
/2
=
6
/2
y=3
Answer:the height of the flagpole is 27.12 ft
Step-by-step explanation:
The wire makes an angle with the ground and forms a right angle triangle with the flag pole. The length of the wire represents the hypotenuse of the right angle triangle. The height of the flag pole and the ground distance from the wire represents the adjacent and opposite sides respectively.
To determine the height of the flagpole, x we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
31² = x² + 15²
x² = 961 - 225 = 736
x = √736. = 27.12 ft
Answer:$5.95
Step-by-step explanation:
Ok, first group x terms
f(x)=(x²+4x)-8
factor out quadratic coefient (no need but that's the step)
f(x)=1(x²+4x)-8
take 1/2 of the linear coefient and square it
4/2=2, (2)²=4
add positive and negative of it insides the parenthasees
f(x)=1(x²+4x+4-4)-8
factor perfect square
f(x)=1((x+2)²-4)-8
distribute
f(x)=1(x+2)²-4-8
f(x)=1(x+2)²-12
and, now if we wanted to find the x intercepts where f(x)=0 then
0=1(x+2)²-12
12=(x+2)²
+/-2√3=x+2
-2+/-2√3=x
x=-2+2√3 or -2-2√3
that is where the x intercept are
and completed square form is
f(x)=(x+2)²-12
Commutative:
a+b+c=a+c+b
1.3+23.4+3.4=23.4+1.3+3.4
Associative:
(a+b)+c=a+(b+c)
(1.3+3.4)+23.4=1.3+(3.4+23.4)
