Five pairs of points (X,Y) that satisfy the equation Y=-2X+5 may be the following:
For X=0: Y=-2*0+5=5 (0,5)
For X=1: Y=-2*1+5=3 (1,3)
For X=2: Y=-2*2+5=1 (2,1)
For X=3: Y=-2*3+5=-1 (3,-1)
For X=4: Y=-2*4+5=-3 (4,-3)
The slope of the function is m=-2. Correct answer: C
The equation for the area of a triangle is 1/2 x base x height.
Plug in the values that you already have with h being the missing height value:
30= 1/2 x 12 x h
Simplify:
30=6h
Solve:
30/6=h
5=h
The heoght of the triangle is 5 units
I think that the sum will always be a rational number
let's prove that
<span>any rational number can be represented as a/b where a and b are integers and b≠0
</span>and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....
<span>so, 2 rational numbers can be represented as
</span>a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)
their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd
1. the numerator and denominator will be integers
2. that the denominator does not equal 0
alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
<span>like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
</span>even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer
now the denominator
that is just a product of 2 integers so it is an integer
<span>2. we originally defined that b≠0 and d≠0 so we're good
</span>therefore, the sum of any 2 rational numbers will always be a rational number <span>is the correct answer.</span>
Answer:
- FALSE
- TRUE
- TRUE
Step-by-step explanation:
<u>1.</u>
- Non-standard units can be used to measure volume
- Examples : m³, in³, cm³, mm³, L
<u>2.</u>
- The volume of a rectangular prism can be found by multiplying the length, width, and height
- <u>V = lwh</u>
<u />
<u>3.</u>
- If there are smaller units, then naturally more of the units will be used
- If there are larger units, then less of the units will be used
