Answer:
(p • 10) - (p • 2)
Step-by-step explanation:
To be doubly sure of your answer, do the actual mult.:
p(10-2) = 10p - 2p. This is equivalent to (p • 10) - (p • 2) (Answer D).
The full road trip is 50 miles.
Step-by-step explanation:
Given,
Distance traveled by Joe's family = 30 miles
This represents 60% of the total distance to be traveled.
Answer:
The area of the pyramid’s base is 36 in².
The pyramid has 4 lateral faces.
The surface area of each lateral face is 27 in².
Step-by-step explanation:
"<u>Lateral</u>" means side, so the lateral faces are <u>triangles</u>.
The <u>base</u> is the bottom, which is a <u>square</u>.
To calculate the <u>area of the base</u>, use the formula for area of a square.



To calculate the <u>area of a lateral face</u>, find the area of a triangle.




In a pyramid, the number of lateral faces is the same as the number of sides in the base. <u>The square base as 4 sides, so there are 4 lateral faces</u>.
The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5 then: (x+1)=-5+1=-4 This is not the solution.
x₂=(1+11)/2=6 then: (x+1)=6+1=7 This solution is right.
Answer: the numbers would be 6 and 7.
1. X/Y = Z
if x = 6, y = 2, then z = 3, not even
if x = 6, y = 3, then z = 2, even
<span>2. Z=XY </span>
so (z)^2 = 2*k (because x*y*z = 2k, where k is an integer)
<span>Sufficient, as if square of an integer is even ,then the integer is even</span>