Answer:
(3, -1)
x is 3
y is -1
Step-by-step explanation:
Solving for x:
2x+y=5
<em>Subtract y from both sides</em>
2x= -y+5
<em>Subtract 5 from both sides</em>
2x-5= -y
<em>Multiply both sides by 4</em>
8x-20= -4y
5x+4y=11
<em>Subtract 4y from both sides</em>
5x= -4y+11
<em>Subtract 11 from both sides</em>
5x-11= -4y
<u>Combine equations:</u>
5x-11=8x-20
<em>Subtract 5x from both sides</em>
-11=3x-20
<em>Add 20 to both sides</em>
9=3x
3x=9
<em>Divide both sides by 3</em>
x=3
Solving for y:
2x+y=5
<em>Subtract y from both sides</em>
2x= -y+5
-y+5=2x
<em>Multiply both sides by 5</em>
-5y+25=10x
5x+4y=11
<em>Subtract 4y from both sides</em>
5x= -4y+11
-4y+11=5x
<em>Multiply both sides by 2</em>
-8y+22=10x
<u>Combine equations:</u>
-8y+22= -5y+25
<em>Add 8y to both sides</em>
22=3y+25
<em>Divide both sides by 25</em>
-3=3y
3y= -3
<em>Divide both sides by 3</em>
y= -1
The answer is 3.25 or 3 1/4
Answer:
B) 55°
Step-by-step explanation:
55+70=125
180-125=55
or
Isosceles means 2 angles are the same, so it's 55°.
Answer:
In vertex form the equation is 
In standard form the equation is 
Step-by-step explanation:
The equation of the directrix tells us that this is an x-squared parabola. Because the directrix is above the vertex, the parabola will open downward. The vertex form of this equation is:
where p is the number of units between the directrix and the vertex. The number of units here is .5 or 1/2. Filling in the coordinates of the vertex and the p value of 1/2:
Simplifying we have:
Divide both sides by 2 to get:
Add 2 to both sides to get the final vertex form:
If you want that in standard form, you first need to expand the squared term to get:
Order of operations tells us that we have to distribute in the -1/2 first to get:
which simplifies to the standard form:
