Answer:
x-intercept: (-3,0)
y-intercept: (0,-3)
Step-by-step explanation:
Looking at the equation, we can see that it is already in standard form, or in a
format. Whenever a line is put into standard form, the x-intercepts are represented by
and the y-intercepts are represented by
. So, let's calculate them by doing the following:
1) Find the x-intercept by using the
formula. Substitute the number on the right side of the equation for
and the coefficient for the x term for
. So, in this case,
and
:

Therefore, the x-intercept is (-3,0).
2) Next, find the y-intercept by using the
formula and substituting the right values.
is still the number on the right side of the equation and
is the coefficient of the y term. So,
and
.

Therefore, (0, -3) is the y-intercept.
Answer:
2⁶
Step-by-step explanation:
Rule of exponents, if you multiply number with the same base, you add the exponents
- Gage Millar, Algebra 2 tutor
Answer:
So F(x+3) = (x+3+5)/2 = (x+8)/2
Step-by-step explanation:
Given F(2x-1) = x+2
Put 2x-1 = y=> x = (y+1)/2
Hence F(y) = (y+1)/2 +2 = (y+5)/2
So F(x) = (x+5)/2
So F(x+3) = (x+3+5)/2 = (x+8)/2.
12) -5k - 19 = 5 - 13k
-5k = 24 - 13k
8k = 24
k = 3
14) -15n + 16 = 86 - 29n
-15n = 70 - 29n
14n = 70
n = 5
16) 13 - 3p = -5(3 + 2p)
13 - 3p = -15 - 10p
-3p = -28 - 10p
7p = -28
p = -4
18) 14a - 93 = 49 - 57a
14a = 142 - 57a
71a = 142
a = 2
20) 8v = 2(4v + 2)
8v = 8v + 4
No solution
22) 2(-4h - 13) = 37 + 13h
-8h - 26 = 37 + 13h
-8h = 63 + 13h
-21h = 63
h = -3
24) 11n - 3 = 9 + 5n
6n = 12
n = 2
26) -9n - 12 = 8 - 4n
-5n - 12 = 8
-5n = 20
n = -4
<h3>
Answer:</h3>
A. Yes, because both points are equidistant from the center of the circle.
<h3>
Step-by-step explanation:</h3>
The point (0, 5) is 5 units from the point (0, 0).
The point (0, -5) is 5 units from the point (0, 0).
The given points are equidistant from the circle center at (0, 0), so both will lie on the circle—along with any other points that are 5 units from (0, 0).