Answer:
y= 1 and X=4
Step-by-step explanation:
8x +7y =39
8x +2y =34
elimination method(we multiply 8x+7y=39 or 8x + 2y= 34 by -1 to eliminate 8x)
lets multiply 8x+7y = 39 by - 1
-8x -7y = -39
8x +2y = 34
(8x-8x)+(2y-7y)= (-39+34)
0 + (-5y) = -5
-5y= -5......dividing both sides by -5
<em> y = 1</em>
8x +2y =34....... substituting y by 1
8x +2(1)= 34
8x + 2= 34
8x = 34-2
8x = 32.....dividing both sides by 8
<em>x = 4</em>
Lets check;
8x +2y = 34
8(4) +2(1) = 34
32 + 2 =34
<em>34 = 34</em>
8x + 7y = 39
8(4) + 7(1) = 39
32 + 7 =39
<em>39 = 39</em>
Answer:
Answer:
1/9
Step-by-step explanation:
4 people use all three facilities, then
16 - 4 = 12 people use the gym and the track and do not use the pool;
9 - 4 = 5 people use the pool and the track and do not use the gym;
19 - 4 = 15 people use the gym and the pool and do not use the track.
At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is 4/36=1/9
The correct answer is letter C
You would have to replace f(x) with zero and use quadratic formula
f(x)=x^2-5x+5
0=x^2-5x+5
=(-b+-√b^2-4ac)/2a
=(5+-√25-4(1)(5))/2
=(5+-√5)/2
x=(5+√5)/2 or x=(5-√5)/2
Both x values are completely applicable in the equation.
Hope I helped :)
Answer:
m<R=44.9,m<S=56.9,m<T=44.9,m<U= 32.9.
Step-by-step explanation:
When two chords are equal then the measure of the arcs are equal.
Chord RU= Chord UT
Or , m arc RU= m arc UT,
3z-4=x+2z+7 Or z=x+11
Chord RS=Chord ST ,
m arc RS=m arc ST=3x+5
Sum of m arc in a circle =360 degrees.
Or ,
3x+5+3x+5+3z-4+x+2z+7=360
7x+5z+13=360
Substituting z=x+11
7x+5(x+11)+13=360
7x+5x+55+13=360
12x+68=360
12x=292,x=24.3
z=x+11=11+24.3=34.3
m arc RU=marc UT= 3z-4=3(24.3)-4=69
m arc RS =marc ST= 3x+5=3(24..3)+5=77.9
m<R= (marc UT+ m arc ST)÷2
m<R=(69+77.9)÷2=73.45
m<S= (m arc RU+m arc UT)÷2
m<S= (69+69)÷2=69
m<T=(m arc RU+m arc RS)÷2=73.45
m<U=(m arc RS+m arc m arc ST)÷2=77.9
