Answer:
Step-by-step explanation:
Let's solve the first equation for either x or y. I'll do it for x.
Begin by subtracting 5y.
Now divide by 5.
Simplify:
Now substitute x in the second equation for this value.
Distribute;
Add 6
Combine like terms;
Divide by -10.
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Take this value of y and replace it in the first equation to find the value of x.
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:
rectangular; 32 in²
Step-by-step explanation:
The base is rectangular, because 1 set of sides is longer than the other.
To find the area of the base, multiply 4 by 8 to get 32 in².
Annual rate = 1.05%
Simple interest formula is I = Prt * 100
Where P is principle, I is interest, r is rate and t is time.
Transpose to make r the subject
Prt * 100 = I
r = I/ Pt * 100
Substitute values into the equation.
Let I = $1260, P = $30,000 and t = 4 years
r = $1260/ $30,000 * 4 * 100
r = 0.0105 * 100
r = 1.05%
Answer:
y=(5/2)x+14
Use the slope formula and slope-intercept form y=mx+b to find the equation
