Answer:
x = 35
Step-by-step explanation:
Let x be the one of the other angles
X is also the third angle since we know they are equal
The sum of the angles of a triangle is 180
110+x+x = 180
110 +2x= 180
2x = 180-110
2x= 70
Divide by 2
2x/2 = 70/2
x = 35
Answer:
(x−2)2+(y+1)2=100
Explanation:
the standard form of the equation of a circle is
2
2
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
2
2 where (
a
,
b
) are the coordinates of the center and r is the radius to find the center we require the midpoint of the 2 given points center =
[
1
2
(
−
4+
8
)
,
1
2
(
7
−
9
)
] center
=
(
2
,
−
1
) the radius is the distance from the center to either of the 2 given points calculate the radius using the distance formula
∙ d
=
√
(
x2
−
x
1
)
2
+
(
y
2
−
y
1
)
2 let (
x
1
,
y
1)
=
(
2
,
-1
) and (
x
2
,
y
2
)
=
(
−
4
,
7
)
r
=
√
=
√
(
−
4
−
2
)
2
+
(
7
+
1
)
2
=
√
36
+
64
=
10
⇒
(
x
−
2
)
2
+
(
y
−
(
−
1
)
)
2
=
10
2
⇒
(
x
−
2
)2
+
(
y
+
1
)
2
=
100
← equation of circle
A ( t ) = 2500 * (1.04) ^t
A ( t ) = 5000
5000 = 2500 * (1.04)^t
( 1.04 ) ^t = 5000 : 2500
(1.04)^t = 2
t = 17.68 ≈ 18
The value of t is 18 years.
Answer:
Step-by-step explanation:
7÷4
Answer:
<u>Option C. It is zero</u>
Step-by-step explanation:
The graph represents a quadratic equation
The quadratic equation has the form ⇒a x² + b x + c
The discriminant of the quadratic equation is D = b² - 4ac
From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.
- If D > 0 ⇒ Two real roots.
- If D = 0 ⇒ one real roots
- If D < 0 ⇒ Two imaginary roots.
The roots of the quadratic equation are the x-intercepts of the function.
As shown at the figure, the quadratic equation has only one point of intersection with the x-axis
So, the function has only one root ⇒ D = 0
So, the discriminant of the quadratic equation = 0
<u>The answer is option C. It is zero</u>
