Answer: 60
Step-by-step explanation:
It’s an equilateral triangle based on the congruent sides.
Answer:
There are two possibilities:
and 
and 
Step-by-step explanation:
Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:
First, 
is cleared in the first equation:
Now, the variable is substituted in the second one:
And some algebra is done in order to simplify the expression:
Roots are found by means of the General Equation for Second-Order Polynomials:
and 
There are two different values for :
There are two possibilities:
and
and
Since, she has already been working for two hours (120 minutes) and has budgeted only 6 hours (360 minutes) to create the centerpieces.
Since, each centerpiece takes 15 minutes to make, the time it takes her to make x centerpieces is given by 15x.
Therefore, the correct inequality representing the situation is given by 120 + 15x <span>≤ 360.</span>
First, convert your mixed numbers into improper fractions, so 8+3/8=69/8 and 2+1/3=7/3. Now you have 69/8=r-(7/3). Now, add 7/3 to both sides, so (69/8)+(7/3)=r. Now, just add your fractions, so (69/8)+(7/3)=207/24+56/24=(207+56)/24=263/24. If you need to, this can be converted back into the mixed number 10+23/24.
According to the definition, is a parabola is in the standard form of (x-h)^2<span>=4p(y-k), then the directrix is y=k-p. In this case, the parabola function is x^2=8y, so h=0, p=8/4=2, k=0. Plug the values of h, p, k, into y=k-p, the directrix is y=-2.</span>
