Answer:
x
+
y
=
2
, y
=
x
2
−
4
x
+
4
Replace all occurrences of
y
with x
2
−
4
x
+
4
in each equation.
x
2
−
3
x
+
4
=
2
y
=
x
2
−
4
x
+
4
Solve for
x
in the first equation.
x
=
2
,
1
y
=
x
2
−
4
x+
4
Replace all occurrences of
x with 2
in each equation.
y=0
x
=
2
Replace all occurrences of x
with 1
in each equation.
y
=
1
x
=
1
The solution to the system is the complete set of ordered pairs that are valid solutions.
(
2
,
0
)
(
1
,
1
)
The result can be shown in multiple forms.
Point Form:
(
2
,
0
)
,
(
1
,
1
)
Equation Form:
x=2
,
y
=
0
x
=
1
,
y
=
1
Step-by-step explanation:
Answer:
central angle =23.88°
Step-by-step explanation:
Given:Arc length =10ft
radius= 24ft
To find : central angle
Formula: Arc length = 2πr.
°
⇒
= 
⇒ = 
⇒
23.8853503°
Answer:
The rule for a line whose gradient is -4 and y-intercept = 8 is
Step-by-step explanation:
Equation of line slope intercept form is
------------- (1)
Where m is slope or gradient and b is y-intercept
<u>Here</u>
Substituting values in equation (1)
Answer:
(1) How many equilateral triangles are there? ___6__
(2) What is the measure of each of the three angles in the equilateral triangle? __60°_
(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_
(4) What is the vocabulary word for the green line? _Perpendicular bisector_
(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_
(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm
(8) What is the height of the equilateral triangle? _4√3_cm
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_
Step-by-step explanation:
Answer:
Step-by-step explanation:
To solve this problem, first you have to use adding & subtracting integers from left to right.
First, add & subtract numbers from left to right.
3+(-7)=-4
Therefore, the correct answer is -4.
