We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
1. D 2.A 3.D 4.D
Step-by-step explanation:
We can use the Pythagorean Theorem to solve for side AB
a^2+b^2=c^2
a will be 6 and b will be 8 becuase those are the legs
6^2+8^2=c^2
36+64=c^2
100=c^2 (square root both sides)
c=10
Then we find the difference between 10 and 6 because 6 is the shortest leg
10-6=4 ft. so B
Hope this helps
You want to break this down.
“5 less than” means you’ll subtract 5 from something.
That something is “3 times a number.” “3 times a number” means 3•x or 3x, since we’ll use x for that unknown number.
So, “5 less than 3 times a number” means “subtract 5 from 3x”: 3x-5
“Is” means “equals”. So 3x-5= something.
7, well, that’s 7.
So “5 less than 3 times a number is 7” means ”subtract 5 from 3x and set that equal to 7.”
3x-5=7
Answer:
26.8
Step-by-step explanation:
you round up 5 and make the 7 an 8
