Answer:
x = 2
Step-by-step explanation:
8(4-x) = 7x + 2
1) Distribute : 32 - 8x = 7x + 2
2) Subtract 32 : -8x = 7x - 30
3) Subtract 7x : -15x = -30
4) Divide 15 : x = 2 :)
Answer:
<h2>- 2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
We have

Therefore the slope is equal to -2.
<span> However 4(4x-3) -6x can be replaced by 16x-12 -6x using the distributive law then we may combine like terms to obtain 10x -12. RESPONSE TO UPDATE .. Since you provided the choices in your update, the choices equivalent to 10x -12 are A 12x -12 - 2x and C. 4x + 2(3x-6)</span>
There are no solutuons listed (says which of the following). My answer below should be in the list to choose from.
7 - 4x ≥ 35
subtract 7 from both sides
-4x ≥ 28
divide both sides by -4 AND change the direction of the inequality sign because we're dividing by a negative
x ≤ -7
CHECK:
7 - 4x ≥ 35
7 - 4(-7) ≥ 35
7 + 28 ≥ 35
35 ≥ 35
ANSWER: x ≤ -7
Hope this helps! :)
Answer: The equation of an ellipse:
(
x
−
h
)
2
a
2
+
(
y
−
k
)
2
b
2
=
1
;
a
>
b
Has vertices at
(
h
±
a
,
k
)
Has foci at
(
h
±
√
a
2
−
b
2
,
k
)
Use the vertices to write 3 equations:
k
=
4
[1]
h
−
a
=
−
6
[2]
h
+
a
=
10
[3]
Use equations [2] and [3] to solve for h and a:
2
h
=
4
h
=
2
a
=
8
Use the focus to write another equation:
8
=
h
+
√
a
2
−
b
2
Substitute values for h and a:
8
=
2
+
√
8
2
−
b
2
6
=
√
64
−
b
2
36
=
64
−
b
2
b
2
=
64
−
36
b
2
=
28
b
=
√
28
Substitute the values into the standard form:
(
x
−
2
)
2
8
2
+
(
y
−
4
)
2
(
√
28
)
2
=
1