(x1,y1) = (-2,7)
m = -5
(x,y) = (a,2)
Forming the equation,
(y-y1) = m(x-x1)
y - 7 = -5[x - (-2)]
y - 7 = -5x - 10
y + 5x = -3
Putting the values of (x,y) we get,
2 + 5a = -3
5a = -5
a = -1
tail: 4.5x5/2=11.25, 4.5x3/2=6.75, 11.25+6.75=18
top fin: 3x2.25/2=3.375, 3x0.75/2=1.125, 3.375+1.125=4.5
bottom fin: 1x1/2= 0.5, 1x0.5/2=0.25, 0.5+0.25=0.75
nose: 4.5x2=9
between tail and body: 2.5x2=5
corners on body: 1.5x0.5/2x4=1.5
top and bottom on body: 0.5x5x2=5
body: 1.5x2+5=8, 2x2=4, 4x8=32
total: 18+4.5+0.75+9+5+1.5+5+32=75.75
total area of khianna's fish is 75.75 cm.
hope this helps
Answer:
1.a=2
2. C x=2 and x=-3
Step-by-step explanation:
The standard form for the quadratic function is
ax^2 +bx+c
so we need to rewrite the function to be in this form
2x^2 -10 = 7x
Subtract 7x from each side
2x^2 -7x-10 = 7x-7x
2x^2 -7x-10 = 0
a =2, b= -7 c=-10
2. The quadratic formula is
-b ± sqrt(b^2 -4ac)
----------------------------
2a
2x^2 + 2x=12
Lest get the equation in proper form
2x^2 + 2x-12 = 12-12
2x^2 +2x-12 =0
a=2 b=2 c=-12
Lets substitute what we know
-2 ± sqrt(2^2 -4(2)(-12))
----------------------------
2(2)
-2 ± sqrt(4+96)
----------------------------
2(2)
-2 ± sqrt(100)
----------------------------
4
-2 ± 10
----------------------------
4
-2 + 10 -2-10
----------- and --------------
4 4
8/4 and -12/4
2 and -3
Answer:
4.8 minutes
Step-by-step explanation:
Using the given hint, working together, the amount of floor mopped in 1 minute is ...
1/8 + 1/12 = 3/24 +2/24 = 5/24 . . . . jobs/minute
The reciprocal of that is the rate in terms of minutes per job. Thus the entire job takes 24/5 = 4.8 minutes.