For rigt triangle with legs legnth a and b and hypotnuse legnth c
a^2+b^2=c^2
we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller
ok so
first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and
hypontuse is 6 more than shorter
c=6+b
sub 3+b for a and 6+b for c in oroiginal equation'
a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero
b-9=0
b=9
b+3=0
b=-3
fasle, legnths cannot be negative
answer is shorter side=9 cm
Answer:
Slope = -7/2
Step-by-step explanation:
The standard equation of a line is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the equation y = -7/2 x - 5/8
Compare with the general equation
mx = -7/2x
Divide both sides by x
mx/x = -7x/2x
m = -7/2
Hence the slope of the line is -7/2
Answer:
87 feet
Step-by-step explanation:
8 feet below sea level would be -8
95 feet above sea level would be +95
so it would be -8+95
-8+95=87
:)
Answer:
4.8 inches
Step-by-step explanation:
<em>See comment for complete question</em>
Represent the larger triangle with 1 and the smaller with 2.
So, we have:
-- height of 1
Required
Determine H2 --- Height of 2
To do this we apply dilation formula.
In this case:
Substitute 6 for H1 and 0.8 for Scale Factor
Hence, the height of the smaller triangle is 4.8 inches
