Answer:
18
Step-by-step explanation:
-2(3x+4)+7x=10
-6x-8+7x=10
x=10+8
x=18
Answer:
Step-by-step explanation:
Property Rhombus
1 All sides are congruent ✓
2 Opposite sides are parallel and congruent ✓
3 All angles are congruent ✕
4 Opposite angles are congruent ✓
Your octagon has a central angle of 360 deg. Since you're speaking of an octagon, which implies that the octagon is made up of eight triangles, divide 360 deg by 8 to obtain the measure of each minor arc formed.
12.3 or 12 3/10
4.5 + 7.8 = 12.3
or
4 10/20 + 7 16/20 = 11 26/20
11 26/20 can be simplified to 12 6/20 and further simplified to 12 3/10
Answer: The range is y ≥ 3.
Step-by-step explanation:
When we have an equation:
y = f(x)
The range is the set of the possible values of y.
In this case, we have:
y = f(x) = 2*x^2 - 20*x + 53
This is a quadratic equation, and the leading coefficient is positive. This means that the arms of the graph will open upwards.
Then the minimum value of y will be the vale at the vertex.
We know that for a quadratic equation of the form:
a*x^2 + b*x + c
The vertex is at:
x = -b/2a
Then in this case, the vertex will be at:
x = -(-20)/(2*2) = 20/4 = 5
Then the smallest value of this function will be:
f(5) = 2*5^2 - 20*5 + 53 = 3
This is the smallest value that y can take, and y can take any value greater than 3.
Then the range can be written as:
y ≥ 3.
