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

5 0

3 years ago

I need help with all please!!

Olenka [21]

Answer:

1. D

2.C

3. A

4.B

5.C

6. C? or D(i think c cause it's 3 places but it can be d because the 0 is just a placeholder)

7.C

8.C

Step-by-step explanation:

3 0

3 years ago

The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered

grigory [225]

The pair of equations that has (0, 8) as its solution is: A. equation A and equation C.

<h3>What is the Solution to a System of equations?</h3>

The solution to a system of linear equations that are graphed is the pair of x and y coordinates of the points where two lines intersect.

In the graph given, the lines representing equations A and C intersect at point (0, 8). Therefore, the pair of equation that has a solution of (0, 8) is: A. equation A and equation C.

Learn more about solution of a system of equations on:

brainly.com/question/847634

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5 0

2 years ago