Answer: 4/-3
Step-by-step explanation:
Slope (m) = ΔY
/ΔX = 4
/-3
ΔX = 3 – 9 = -6
ΔY = 8 – 0 = 8
Answer:
I'm assuming that you meant to type: The question is x/5=1/2+1/8 ; X= ?
If so, we're solving for x.
x/5 = 1/2 + 1/8
2 is a factor of 8, so let's start with common denominators.
x/5 = 1/2 *(4/4) + 1/8
x/5 = 4/8 + 1/8
x/5 = 5/8 As long as we just need to know the value of x, let's use inverse operations.
x/5 *5 = 5/8 *5
x = 25/8 or 3.125
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tan²x + 1 = sec²x ⇒ tan²x = sec²x - 1
Consider the left side
sec²x × tan²x + sec²x
= sec²x(sec²x - 1) + sec²x ← distribute and simplify
= 
x - sec²x + sec²x
= x = right side ⇒ verified
I'll say the first integer is x. The next consecutive odd number would be x+2. If the sum of the odd integers is 236, the equation would be
x + (x + 2) = 236
solve for x
2x + 2 = 236
subtract 2 from each side of the equation
2x = 234
divide both sides by 2
x = 117
117 is the first odd integer. to find the other integer (x + 2), substitute 117 for x, and you have 117 + 2, which equals 119
The two consecutive odd integers that add up to 236 are 117 and 119.
1 Face has 0 face painted
Step-by-step explanation:
As per the question a painted cube that is cut into 27 equal-size smaller cubes has been cut into a 3 * 3 * 3 arrangement.
There is 1 cube in the very center
On each of the 6 sides of the cube, there is a central smaller cube that is painted once.
Of the 27 (3*3*3) smaller cubes formed by the cutting, 1 gets no paint, 6 are painted on 1 face, 12 are painted on 2 faces, and 8 are painted on 3 faces (total 27 cubes).
1 (no paint) + 6 (painted 1) + 12 (painted 2) + 8 (painted 3) = 27 total
The sum of the painted faces (of the small cubes) is 54 (which is 6*9).
