Answer:
p = 2 and q = 2
Step-by-step explanation:
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1 unit to the left of -1 on the number line is -2.
Thus, 7 units to the left of -1 is -8.
The appropriate choice is ...
... c. -8
Answer:
x = 
y = 
Step-by-step explanation:
Hello!
This is a right isosceles triangle (45°-45°-90°). You can solve for the missing angle by simply subtracting 45° and 90° from 180° (sum of angles in a triangle equals 180°)
Since the triangle is isosceles, x and y are congruent because they are the legs opposite to the congruent angles.
In a right isosceles triangle, the hypotenuse is always the measure of one leg multiplied by
.
So, let's use leg y, 
Solve for y:

y =
, which means that x is also 
Answer:
x = 3; y = 2
Step-by-step explanation:
x + y = 5
y = 2x - 4
<em>Isolate the y in the first equation</em>
y = 5 - x
y = 2x - 4
<em>Substitute the values</em>
5 - x = 2x - 4
<em>Isolate the Variable</em>
9 = 3x
<em>Simplify</em>
3 = x
<em>Plug that into the first equation</em>
3 + y = 5
<em>Subtract 3 from both sides</em>
y = 2
Answer:

Step-by-step explanation:
The base function is given as

This graph opens up and has its vertex at the origin.
When we shift the graph of this function down by 9 units, its vertex is now at (0,-9)
The equation of this new graph is
