Answer:
hypotenuse —>26
Legs —> 10 and 24
Step-by-step explanation:
Generally ,the hypotenuse is the longest side .
So in our triangle the hypotenuse is of length 26.
Consequently, the legs are of lengths 24 and 10.
Also ,we can verify that this is right triangle using the Pythagorean theorem:
26^2 = 676
24^2+10^2 = 676
Then 
26² = 24²+10².
 
        
             
        
        
        
Answer:
False
Step-by-step explanation:
We first write the equation in the form ax² + bx + c=0 which gives us:
3x² - 6x + 9=0
Given the quadratic formula,
x= [-b ±√(b²- 4ac)]/2a ,the discriminant proves whether the equation has real roots or not.
The discriminant, which is the value under the root sign, may either be positive, negative or zero.
Positive discriminant- the equation has two real roots
Negative discriminant- the equation has no real roots
Zero discriminant - The equation has two repeated roots.
In the provided equation, b²-4ac results into:
(-6)²- (4×3×9)
=36-108
= -72
The result is negative therefore the equation has no real solutions.
 
        
                    
             
        
        
        
Complete question :
Cheddar Cheese
$3/lb
Swiss Cheese
$5/lb
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Answer:
10 lbs of cheddar cheese 
6 lbs of Swiss cheese 
$3a + $5b = $30
Step-by-step explanation:
Given that :
Cheddar cheese = $3/lb
Swiss cheese = $5/lb
Total amount budgeted for cheese = $30
How many pounds of cheese can Keisha get if she buys only Cheddar cheese? 
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of cheddar cheese 
$30 / 3 = 10 pounds of cheedar cheese
Only Swiss cheese? 
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of Swiss cheese 
$30 / 5 = 6 pounds of Swiss cheese
A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Let amount of cheddar cheese she can get = a 
Let amount of Swiss cheese she can get = b
Hence, 
(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount 
(3 * a) + (5 * b) = $30
$3a + $5b = $30
 
        
             
        
        
        
Answer:
Graph number 2
Step-by-step explanation:
See attached image.
 
        
             
        
        
        
Answer:
no triangle 
Step-by-step explanation:
all sides have to equal up to 180 and that's only 140