Answer:
2. 31/6 3. -12/1 4. integer 5. rational number
Step-by-step explanation:
2. You multiply the 5 by 6/6, so it becomes 30/6, then add the 1/6. getting you the 31/6.
3. Since -12 is already an integer with no mixed part, you just put it over 1.
4. -12 is an integer, but is not a whole number because it is negative.
5. fractions are rational numbers
I'll start 18 and 22 for you, and you should then be able to do the rest on your own!
For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!
For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
1. It must be divisible by 2 and 3. It IS divisible by 2. it IS divisible by 3. No remainder.
2. Add the digits and see if the sum is divisible by 3. Apply this rule to both numbers. 3 is not a common factor.
3a. 639
3b. 1035
3c. 179
Answer:
16
Step-by-step explanation:
first you get rid of the exponents and get
9+25-2×9
then you multiply and get
9+25-18
then you add And get
34-18
lastly you subtract to get your answer which is
16
an equation for a circle has formula
(x-m)² + (y-n)² = r²
where (m,n) is its center
and r is its radius
so, the equation has center (4,3) and radius 4
the equation is derived from the pythagorean theorem
