-3/2 = x + c
x = - [(3/2) + c]
Answer:
f(-3)= -48 g(6)= -8
Step-by-step explanation:
the the numbers into the corresponding functions and simplfy following the order of operations which would look like this:
f(-3)=2(-3)^3 + 6
=2(-27)+6
=-54+6
f(-3)=-48
and
g(6)= -2(6)+4
= -12+4
g(6)= -8
Hope this helps! :)
The diagonals of a rectangle are congruent
meaning AC and BD are congruent
c/3 = 4-c
multiply both sides by 3
c = 12 -3c
add 3c to both sides
4c = 12
divide both sides by 4
c = 3
So the diagonals are
AB = c/3 = (3)/3 = 1
BD = 4-c = 4- (3) = 1
Hope this helps
Answer:
(y+2)= -3(x-7)
Step-by-step explanation:
We can use the slope-intercept formula to write this equation. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where m is the slope and b is the y-intercept value.
We can substitute the slope into the formula giving:
y
=
−
3
x
+
b
Next, we can substitute the values from the points in the problem for x and y and solve for b
:
−
2
=
(
−
3x
7
)
+
b
−
2
= −
21
+
b
21
−
2
=
21 −
21
+
b
19
=
0
+
b
19
=
b
We can now substitute the slope from the problem and the value for b we calculated into the formula to write the equation.
y
=
−
3
x
+
19
Another process is to use the point-slope formula. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where m is the slope and (
x
1
,
y1
) is a point the line passes through.
Substituting the slope and values from the points in the problem gives:
(y
−
−
2
)
=
−
3
(x-7)
(
y
+
2
)
= −
3
(
x
−
7
)
