Answer:
(a;b)={(17; 64); (64; 17)}
Step-by-step explanation:
a+b=81 => b=81-a
a*b=1088
a*(81-a)=1088
-a²+81a=1088
a²-81a+1088=0
a²-64a-17a+1088=0
a(a-64)-17(a-64)=0
(a-17)(a-64)=0
=> a=17 and a=64
for a=17 => b=81-17=64
for a=64 => b=81-64=17
(a;b)={(17; 64); (64; 17)}
Answer:
belongs to the line 
. Please see attachment below to know the graph of the line.
Step-by-step explanation:
From Analytical Geometry we know that a line is represented by this formula:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that 
, 
and 
, then we clear slope and solve the resulting expression:
Then, we conclude that point belongs to the line , whose graph is presented below.
Answer:
Jake has <em>$11.29 </em>dollars left.
Step-by-step explanation:
To find the answer, we will add up<em> $5 + $6.50 + $7.21</em> and we get<em> $18.71</em>. Now <em>subtract $30 from 18.71</em>, which is <em>$11.29</em>. Therefore, <em>Jake has $11.29 dollars left.</em>
Answer:
4 and 6
Step-by-step explanation:
First, let's find all the pairs that add up to 10.
- 1 + 9, 2 + 8, 3 + 7, 4 + 6, and 5 + 5
Next, we find the difference between the addends for each pair.
- 9 - 1 = 8
- 8 - 2 = 6
- 7 - 3 = 4
- 6 - 4 = 2
- 5 - 5 = 0
As you can, see the numbers that add to 10 and have a different of 2 is 4 and 6.
Direct variation is y=kx and inverse variation is y=k/x, in this case:
y=-16/x
So this is an inverse variation with a constant of -16
