4 years ago

Algebra 1: Consecutive Integers

1 answer:

8 0

X equals the smallest. x+2 equals the next largest and x+4 equals the third largest.

x+(x+2)= 3(x+4)
2x+2= 3x+12
2x= 3x+10
-x=10
x=-10

Final answer: -10, -8, -6

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2. "Eight more than the quotient of a number<br> and -5 is less than or equal to 6."

Olenka [21]

Answer: $8 + \frac x{-5} \leq 6$

Step-by-step explanation:

Just translate it word-for-word.

"Eight" : 8

"more than" : +

"quotient of" : /

"a number" : x

"-5" : -5

"is less than or equal to" : $\leq$

"6" : 6

6 0

2 years ago

If the equation of a circle is (x - 2)2 + (y - 6)2 = 4, it passes through point ______.

VikaD [51]

Answer:

$(4,6),(2,8),(0,6),(2,4)$ (the list goes on)

Step-by-step explanation:

So the equation

$(x - 2)^2 + (y - 6)^2 = 4$

Let's try to graph it out (I won't actually graph it out here as I can't but try to follow along)

The first thing we notice from the equations is that the circle has a radius of 2, so draw a circle from the origin that has a radius of two, our most notible points at this stage are

$(2,0),(0,2),(-2,0),(0,-2)$