Answer:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
, we get that
x
=
−
2
,
0.6
Explanation:
Rearrange the equation so that it becomes:
5
x
2
+
7
x
−
6
=
0
The quadratic formula is:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
In our equation above,
a
=
5
b
=
7
c
=
−
6
Plugging these values into the quadratic equation gives:
x
=
−
7
±
√
7
2
−
4
(
5
)
(
−
6
)
2
(
5
)
x
=
−
7
±
√
49
+
120
10
x
=
−
7
±
√
169
10
x
=
−
7
±
13
10
x
=
−
2
,
0.6
Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we get;

Simplifying, we have;


Dividing, we get;

Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.
Answer:
(5,4) and (3,4)
Step-by-step explanation:
A line segment has 2 end points which can be denoted as:
and 
When this line segment intersects at y.
This means that the coordinate on the y axis is the same at both end points
i.e.

and
becomes
and 
x1 and x2 can be any value but the y value must remain unchanged
Using the above analysis, a possible coordinate is:
and 
Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form
<em> and </em>
<em />
Take for instance, another possible pair is:
and 