Solve the following system using elimination:
{x - 2 y = -23 | (equation 1)
{x - y = 7 | (equation 2)
Subtract equation 1 from equation 2:
{x - 2 y = -23 | (equation 1)
{0 x+y = 30 | (equation 2)
Add 2 × (equation 2) to equation 1:
{x+0 y = 37 | (equation 1)
{0 x+y = 30 | (equation 2)
Collect results:
Answer: {x = 37 , y = 30
The First expression is 13 to the 1st power. the second expression is 13 to the -22nd power. third expression is 13 to the 15th power fourth expression is 13 to the 7th power.
ANSWER
The resulting parabola in vertex form is:

EXPLANATION
The original equation of the parabola is given as

This parabola has its vertex at the origin.
If the graph of this parabola is shifted four units right and three units down, then the new equation is:

This the equation of the transformed parabola.
Its vertex is now at (4,-3).
Answer:

Step-by-step explanation:
<u>Solution 1:</u>
Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to
, we set up the following equation:
.
Solving, we get:
.
<u>Solution 2:</u>
The Law of Sines states:
, for any triangle.
We can use this to set up a proportion with the information given:
.
Solving, we get:
.
Answer:
y=4x+8
Step-by-step explanation:
y-y₁=m(x-x₁)
y-4=4(x--1)
y-4=4(x+1)
y-4=4x+4
y=4x+8