Answer:
1) y > x² + 4x - 5, y > x + 5
2) Rational
Step-by-step explanation:
For a parabola, if the shade is inside the curve then the value of y will be greater or equal to:
For a line, if the shade is above it then the value of y will be greater or equal to:
Therefore, since parabola doesn't have solid curve (--- graph) then the inequality is ">"
Therefore, the inequality for parabola is y > x² + 4x - 5
For a line, it does not have solid graph so the inequality is ">"
Therefore, the inequality for line is y > x + 5
-----------
The graph of function describes the shape of rational function. It cannot be exponential as exponential only has one curve. It cannot be logarithm for same reason as exponential. It cannot be polynomial as polynomial is continuous function but the graph is discontinuous at specific point x = 0.
That being said, all choices except rational are all continuous function by default but rational function isn't and since the graph is discontinuous then we can say that it's rational function.
Answer:
i think its the 3 line. they are congruent.
Answer:
2/3
Step-by-step explanation:
The gradient of any line in standard form, Ax + By = C is -A/B.
Divide each term by 3 and simplify.
3y = 2x - 6
3y / 3 = y
2x / 3 = 2/3x
6 / 3 = 2
So, y = 2 / 3 x - 2
slope or gradient = 2/3
Explanation:
The first step in finding the slope of a line that is written in standard form is to write the equation in slope-intercept form, y=mx+b. To do this, rearrange the variables. The standard form, Ax + By = C can be rewritten as By = -Ax + C.
Divide by B to simplify
In the equation By = -Ax + C, B needs to be distributed through the equation. To do this, divide both sides by B. The answer is y = (-A/B)x + C/B.
Find the slope
Once the equation of the line is in slope-intercept form and is simplified, then the slope equals the term in front of the x variable. In the standard form from step 2, the slope is -A/B.
The standard equation of a circle with center
(
h
,
k
)
is
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
, with radius
r
.
When we have a circle centered at the origin, this equation turns into
x
2
+
y
2
=
r
2
Notice that our
(
h
,
k
)
goes away. We know that
r
=
8
, so we can plug this in. We get
x
2
+
y
2
=
8
2
⇒
x
2
+
y
2
=
64
Hope this helps!
