Step-by-step explanation:
3x+2y=2------------1
-3x+5y=5-----------2
adding 1 and 2 we get
7y=7
y=1
and from (1),we get
3x+2×1=2
3x=0
x=0 is the required value of x.
The surface area is 54 square inches
The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.
<h3>What is Directrix of a Parabola ?</h3>
A parabola is a U shaped curve whose all point are at same distnace from a point called as focus and a line called as Directrix .
The equation of the parabola given is
y² = -24x
When the standard equation of parabola is
(y - k)² = 4p (x - h),
where the focus is (h + p, k) and the directrix is x = h - p.
here h = 0
p = -24/4 = -6
x = 0 - (-6)
x = 6
Therefore Option D is the correct answer.
To know more about Directrix
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Answer:
and 
Step-by-step explanation:
We have been given that about 75,000 people visit Paris, France. We are asked to write two equivalent expressions that could be used to find the number of people that visits over a 5- day period
.
To find the number of people over a 5-day period, we will multiply 75,000 people by 5 as:
Commutative property of multiplication states that we can multiply numbers in any order.
Upon switching the order while multiplying, we will get:
Therefore, our required equivalent expressions would be and .
Answer:
<em>The measure of the angles is 45° and 135°</em>
Step-by-step explanation:
When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.
Let's call x and y the two required angles. Knowing they form a linear pair:
x+y=180
We also know one angle is 1/3 of the other angle, thus:
x=y/3
Or, equivalently:
3x=y
Substituting y into the first equation:
x+3x=180
Simplifying:
4x=180
Solving:
x=180/4=45
The other angle is:
y=3x=3\cdot 45=135
Thus the measure of the angles is 45° and 135°
