Answer:
x = 7
Step-by-step explanation:
<ACF = 90° (since AB is the diameter and it is perpendicular to EF)
But <ACF = 2(7x-4)
So
2(7x-4) = 90
14x-8 = 90
14x = 90+8
14x = 98
Dividing both sides by 14
x = 7
Answer: Yes it is
Step-by-step explanation:
You can expand 8(4+2y). 8 times 4 is equal to 32, and 8 times 2y is equal to 16y. So it is the same as 32+16y.
Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3
Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3
Step-by-step explanation:
add the like variables
(1)x+y=11 given
(2)x-y=5 given
x=5+y equality property of addition (add y to both sides of (2)
5+y+y=11 sub previous result in to (1)
2y=6 algebra and simplificatiuon
y=3 division property of equality (divide both sides by 2)
x=8 again sub previous into (1)