Answer:
hello!
Step-by-step explanation:
The number 92 is a rational number if 92 can be expressed as a ratio, as in RATIOnal. A quotient is the result you get when you divide one number by another number. For 92 to be a rational number, the quotient of two integers must equal 92.
Answer:
see explanation
Step-by-step explanation:
Since a hexagon has 6 interior angles and the measure of one is 120°, then
sum of interior angles = 6 × 120° = 720°
exterior angle = 180° - interior angle = 180° - 120° = 60°
Expanded form of 3( 6 + 7) is 
<h3><u>Solution:</u></h3>
Need to use distributive property to write the expanded form of 3(6 + 7)
Let’s understand what is distributive property.
The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
According to distributive property, for numbers a , b and c
----- eqn 1
3(6 + 7) can be rewritten as 3 ( 6 + 4 + 3 ) = 3 ( 10 + 3 )
Now in our case a = 3 , b = 10 and c = 3
On substituting the values of a , b and c in equation 1 we get

So expanded form of 3( 6 + 7) is 
Answer:
The maximum height of the baseball is 9 feet
Step-by-step explanation:
we have

where
p(t) ----> baseball position above the ground in feet
t ----> the time in seconds
v_0 ----> is the initial velocity in ft/sec
p_0 ---> initial position above the ground
we have

substitute the given values


This is the equation of a vertical parabola open downward
The vertex represent a maximum
Convert the quadratic equation in vertex form

Factor -16 leading coefficient

Complete the square


Rewrite as perfect squares

The vertex is the point (0.5,9)
The maximum height of the baseball above the ground is the y-coordinate of the vertex
therefore
The maximum height of the baseball is 9 feet
Answer:
480 Hectares potatoes, 340 Hectares corn
Step-by-step explanation:
Let x be the land used to plant potatoes in hectares.
Let y be the land used to plant corn in hectares.
Given the information from the question, we know that:
x + y = 820 - Equation 1
and
x - y = 140 - Equation 2
as you can see here we have 2 equations, means we can solve them simulteanously to solve for both. We will use elimination method.
We will use Equation 1 - Equation 2.
x-x+y-(-y)=820-140
2y = 680
y = 680 ÷ 2 = 340 hectares
We substiture y into equation 1 to find x
x + 340 = 820
x = 820 - 340
= 480 hectares
Therefore, 480 hectares of potatoes and 340 hectares of corn were planted.