So
a^2+b^2=c^2
c=hypotenuse
a^2+b^2=20^2=400
if the permiter is 42 then
p=hypotonuse+side+side
42=20+side+side
subtract 20 from both sides
22=side+side
a+b=22
subtract b from both sides
a=22-b
subsitute for a in equation below
a+2+b^2=c^2
(22-b)^2+b^2=400
b^2-44x+484+b^2=400
2b^2-44x+484=400
divide both sides by 2
b^2-22x+242=200
subtract 200 from both sides
b^2-22x+42=0
factor
(b+/-number)(b+/-number)
to find the numbers, find which 2 number multiply to 42 and add to get -22
the numbers must be neative since same signs multiplied=positive and negative+negative=negative
(b-number)(b-number)
facrors of 42=2,3,6,7,14,21
2,21
3,14
6,7
it's hard to find the number, but the numbers are -19.8882 and -2.11181
(b-19.8882)(b-2.11181)=0
if xy=0 then assume that x and y=0
b-19.8882=0
add 19.8882 to both sides
b=19.8882
b-2.11181=0
add 2.11181 to both sides
b=2.11181
the side legnths are 19.8882 units and 2.11181 units
Answer:
Imaginary
Step-by-step explanation:
If one is 5"x3", and the other having the same orientation is 3"x?, then
by similar figures,
5/3=3/x
cross multiply,
5x=3*3
x=9/5=1.8"
With the original figure, it is possible to validate the above answer.
Answer:
Step-by-step explanation:
19.
a) to find thhe x- intercept we make y=0
x² +4x -5 = 0
(x+5)(x-1) =0
x+5=0 so x=- 5
x-1 =0 so x= 1
b)
y-intercept is at (0, -5)
c)
axis of symmetry is at
x=-b/2a =-4/2*1 = -2
x= -2
d)
vertex is at (-2, -9) because x coordinate is on the axis of symmetry at -2 and
y= x² +4x -5= (-2) ² +4(-2) -5 = 4-8-5 = 4-13 = -9
The two integers are 6 and 4 because the factors of 24 are 1,2,3,4,6,8,12,24 and 4 and 6 have the smallest sum out of all of them.
1+24=25
2+12=14
3+8=11
4+6=10
