Step-by-step explanation:
Since it is a right-angled triangle,
we have a² + 5² = 13². (Pythagoras' Theorem)
=> a² = 13² - 5² = 144, a = 12. (C)
the only thing that get the closest is 28,056
Answer:
Cara multiplied only 4 and 7 together and did not multiply 4 and 13.
Step-by-step explanation:
Let us evaluate the given expression step by step,

We can evaluate this expression in two ways; either by subtracting -13 from 7 and then multiply by 4 or by multiplying 4 to 7 and -13.



Now let us see where Cara made an error. We can see Cara just multiplied only 4 and 7 together and did not multiply 4 to 13.
Therefore, Cara made error in her first step.
Make a graph and start at the origin (0,0) count down 5 units and across to the right 4 units. Put a dot here. For every 1 unit the line moves to the right, it moves down 3.
The general line through (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
Here that's
(1 - - 5)(y - - 5) = (4 - -5)(x - - 5)
6(y+5)=9(x+5)
6y + 30 = 9x + 45
-15 = 9x - 6y
3x - 2y = -5
Answer: 3x - 2y = -5
We could put that in slope intercept form,
2y = 3x + 5
y = (3/2) x + 5/2
Answer: y = (3/2) x + 5/2