Answer:
Triangle 3: 3, 4 ,5
Step-by-step explanation:
Well, you can easily tell by 3, 4, 5 being a Pythagorean triple.
But you have to use the Pythagorean Theorem to solve this.
So you get the side lengths of the two shortest sides, and you add the squared versions of them together.
So: 3^2+4^2 and if that equals the biggest side:5^2 then it's a right triangle.
Answer:
Domain: 1 ≤ x ≤ 6, Range: 1 ≤ y ≤ 7
Answer: 9:5
Step-by-step explanation:
If there are a total of 28 students in class, 10 are girls
Step 1: find the number of boys;
Number of boys = Total number of students- number of girls
= 28 - 10 = 18
Number of boys = 18
Step 2: the ratio of boys to girls can therefore be written as 18:10 or 18/10 in fraction form.
To put in the simplest form, we divide by the greatest common factor as both 18 and 10 are divisible by 2, so the simplest form is 9:5 or 9/5
1£/10= 9/5, in other words, there are 9 boys for every 5 girls in the class.
Ok so
log₁₂₅25
remember
logₐy=x means aˣ=y
and
remember that (xⁿ)ᵇ=xⁿᵇ
and
if aⁿ=aᵇ where a=a, then n=b
so
log₁₂₅25=x means
125ˣ=25
to solve, convert to same base
125=5³
25=5²
(5³)ˣ=5² means
5³ˣ=5²
therefor
3x=2
solve
divide both sides by 3
x=2/3
answer is C
1) is: (4,-1)
I: x>3
II: y<=2*x-5
a: (5,6):
I: 5>3 ?yes
II: 6<=2*5-5
6<=5 ?no
This is not a solution
b: (4,-1):
I: 4>3 ?yes
II: -1<=2*4-5
-1<=3 ?yes
This is a solution
c: (-3,-1):
I: -3>3 ?no
This is not a solution
d: (1,11):
I: 1>3 ?no
This is not a solution
2) is (8,-1):
I: x+y>=5
II: x-2*y>8
a: (6,1):
I: 6+1>=5
7>=5 ?yes
II: 6-2*1>8
4>8 ?no
This is not a solution
b: (8,-1):
I: 8+-1>=5
7>=5 ?yes
II: 8-2*-1>8
10>8 ?yes
This is a solution
c: (6,2):
I: 6+2>=5
8>=5 ?yes
II: 6-2*2>8
2>8 ?no
This is not a solution
d: (6,-2):
I: 6+-2>=5
4>=5 ?no
This is not a solution
3) is (6,2):
I: 2*x+4*y>0
II: -x+5*y>0
a: (0,0):
I: 2*0+4*0>0
0>0 ?no
This is not a solution
b: (-4,-2):
I: 2*-4+4*-2>0
-16>0 ?no
This is not a solution
c: (6,2):
I: 2*6+4*2>0
20>0 ?yes
II: -6+5*2>0
4>0 ?yes
This is a solution
d: (6,0):
I: 2*6+4*0>0
12>0 ?yes
II: -6+5*0>0
-6>0 ?no
This is not a solution