Answer:
(6,8)
Step-by-step explanation:
You can just substitute the options into the inequalities
e.g. For option 1, you can put x=6, and you will find the RHS is smaller than LHS in both inequalities.
Given equations are;<span>
2a + 3b = -1 ..................equation 1
3a + 5b = -2 ....................equation 2</span>
Now multiply equation 1 with (-3)
The equation will be;
-6a -9b = 3 …………………..equation 3
Now multiply equation 2 with (2)
The equation will be;
6a + 10b = -4 ……………..equation 4
Now add equation 3 and equation 4
-6a – 9b = 3
<span>6a + 10b = -4</span>
<span>------------------------------</span>
0a + b = -1
b = -1
Now put the value of b in equation 1
2a + 3(-1) = -1
2a -3 = -1
2a = -1+3
2a = 2
a=1
Thus the solution is (a,b) = (1,-1)
<span>
</span>
Answer:
<u><em>Corral 4</em></u>
Step-by-step explanation:
we need to divide the area of the corral by the Number of animals In order To know the dedicated space for each animal
Corral 1 :
(50×40)÷110 = 18.181818181818 < 20
Then it doesn’t meet the requirements.
Corral 2 :
(60×35)÷115 = 18.260869565217 < 20
Then it doesn’t meet the requirements
Corral 3 :
(55×45)÷125 = 19.8 < 20
Then it doesn’t meet the requirements
Corral 4 :
(65×40)÷130 = 20
Then It meets the requirements
Answer:
C. 600 m²
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.
The area of a parallelogram is the product of its base and its height. It is given by the formula:
Area = base * height
We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:
Area = base * height = 40 m * 15 m = 600 m²
Answer:
Step-by-step explanation:
Given
Required
Inequality to measure the length of b
The triangle inequality theorem states that:
On side b, we make use of:
Substitute values for a ad c
The inequality is:
