Answer:
The answer in the procedure
Step-by-step explanation:
Let
x ----> the dog walking hours
y ----> the car washing hours
we know that
The system of linear inequalities is equal to
-----> inequality A
-----> inequality B
Solve the system of inequalities by graphing
The solution is the shaded area
see the attached figure
Two possible combinations of hours are
(10,10) and (0,9)
<em>Verify</em>
For (10,10)
Substitute the value of x and the value of y in both inequalities
<em>Inequality A</em>
-----> is true
<em>Inequality B</em>
----> is true
therefore
(10,10) is a possible solution
For (0.9)
Substitute the value of x and the value of y in both inequalities
<em>Inequality A</em>
-----> is true
<em>Inequality B</em>
----> is true
therefore
(0,9) is a possible solution
Answer:

Step-by-step explanation:
Let
x -----> the number of slabs of butter
y ----> the number of cups of butter
we know that
The ratio is

so

That means-----> The number of slabs of butter must be equal to the number of cups of butter
In this problem
we have

Remember that

so
The number of slabs of butter needed must be equal to the number of cups of butter
therefore

Answer:-3
Step-by-step explanation:
Answer: No, sum of two sides is not greater than the tird side.
Step-by-step explanation:
For a triangle, the sum of any of two sides must be greater than the third side.
Given : Measurements for triangle 10.6cm, 5.6cm, and 4.0 cm
Suppose it is possible to have a triangle with given measurements.
But here, 5.6 cm + 4.0 cm= 9.6 cm which is not greater than 10.6 cm
Therefore, a triangle with lengths 10.6cm, 5.6cm, and 4.0 cm is not possible.
Answer:
12.4 units
Step-by-step explanation:
We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance
= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)
For side A
(-5 , -1) (-2, -1)
= √(-2 -(-5))² + (-1 - (-1))²
= √(-2 + 5)² + (-1 + 1)²
= √3² + 0
= √9
= 3 units
For side B
(-2, -1), (-3,-4)
= √(-3 -(-2))² + (-4 -(-1))²
= √(-3 + 2)²+ (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
For side C
(-3,-4), (-6,-4).
= √(-6 -(-3))² + (-4 - (-4))²
= √(-6 + 3)² + (-4 + 4)²
= √-3² + 0²
= √9
= 3 units
For side D
(-5 , -1), (-6,-4)
= √(-6 - (-5))² + (-4 - (-1))²
= √(-6 + 5)² + (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
From the above calculation , we can see that,
side A = side C
side B = side D
The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)
= 2(3 + 3.2) units
= 2(6.2) units
= 12.4 units