Answer: The length of the hypotenuse (c) is 5
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
a & b are the legs (b is the base)
c = hypotenuse
a = 4
b = 3
a² + b² = c²
4² + 3² = c²
16 + 9 = c²
25 = c²
√c² = √25
c = 5
Answer:
1 is a factor of 8
Step-by-step explanation:
1*8
Wheeee
ok,
the equation you are given is just a similar form of my vertex form
y=a(x-h)²+k
(we just added k to both sides)
(h,k) is still the vertex
so given that the vertex is (4,-1), h=4 and k=-1
we'll use your way
y+1=a(x-4)²
and the y intercept is (0,15)
plug that point to find the value of a
15+1=a(0-4)²
16=a(-4)²
16=a(16)
1=a
the equation is
expand
y+1=1(x²-8x+16)
y+1=x²-8x+16
y=x²-8x+15
x intercept is where y=0
0=x²-8x+15
factor
0=(x-3)(x-5)
set to zero
0=x-3
3=x
0=x-5
5=x
x intercepts are at (3,0) and (5,0)
If I’m not mistaken it’s 64
rAnswer:
50%
Step-by-step explanation:
7 nurses
3 doctors
4 offices
14 in total
7/14 or 50% is the probability