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zhenek [66]
3 years ago
9

Three teachers burned calories dancing.

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

Answer:

Mr doyle the fastest and Mr hennessy was the slowest

Step-by-step explanation:

3/4 of an hour is 45 minutes Mr panasuk took 45 minutes

You might be interested in
F(x)=2x^2-x-10 part a: what are the X intercepts of the graph of f(x)? Show your work
Genrish500 [490]
A. x intercepts are where the graph hits the x axis or where f(x)=0
0=2x^2-x-10
solve
hmm
we can use the ac method
multiply 2 and -10 to get -20
what 2 numbers muliply to get -20 and add to get -1 (the coefint of the x term)
-5 and 4
split the midd into that
0=2x^2+4x-5x-10
group
0=(2x^2+4x)+(-5x-10)
factor
0=2x(x+2)-5(x+2)
undistribute
0=(x+2)(2x-5)
set each to 0
0=x+2
0=-2

0=2x-5
5=2x
5/2=x

x intercepts are at x=-2 and 5/2 or the points (-2,0) and (5/2,0)


B. ok, so for f(x)=ax^2+bx+c
if a>0, then the parabola opens up and the vertex is a minimum
if a<0 then the parabola opens down and the vertex is a max

f(x)=2x^2-x-10
2>0
opoens up
vertex is minimum

ok, the vertex

the x value of  the vertex in f(x)=ax^2+bx+c= is -b/(2a)
the y value of the vertex is f(-b/(2a)) so
given
f(x)=2x^2-x-10
a=2
b=-1
-b/2a=-(-1)/(2*2)=1/4
f(1/4)=2(1/4)^2-(1/4)-10
f(1/4)=2(1/16)-1/4-10
f(1/4)=1/8-1/4-10
f(1/4)=1/8-2/8-80/8
f(1/4)=-81/8
so the vertex is (1/4,-81/8) or (0.25,-10.125)


C. graph the x intercepts and the vertex
the vertex is min and the graph goes through the x intercepts
4 0
3 years ago
What is the area of the regular hexagon with a side length of 3 cm and an apothem of 2.6 cm? A. 15.6 cm2 B. 23.4 cm,2 C. 46.8 cm
yarga [219]
Regular hexagons have all equal sides and angles 
=((3cmx2.6)/2) x 6
=( 7.8/2) x6
= 3.9 x 6                The answer is B. 23.4cm 
= 23.4 
7 0
3 years ago
Read 2 more answers
Screenshot of question below
MaRussiya [10]
Area: 20 x 30 so 600
perimeter: 20 + 20 + 30 + 30 = 100
8 0
2 years ago
A hot air balloon travels 18miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4hour?
Nikolay [14]

Answer:

4,5 miles

Step-by-step explanation:

In 1 hour:    18/3 = 6 miles

6 . 3/4 = 18/4 = 4,5 miles

3 0
2 years ago
The square is divided into 3 parts.
Lorico [155]
1/3= 5/15
2/5= 6/15

5/15 + 6/15 = 11/15

15/15 - 11/15 = 4/15

Part C= 4/15
4 0
3 years ago
Read 2 more answers
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