2. x is less than or equal to -5
So x could be -5, -6, -7, -8, -9, -10.....and so on
3. 16 is less than x, or x is greater than 16
So x could be any number greater than 16
4. x + 9 > 21; x = 10
Since you know "x", plug it in
x + 9 > 21
10 + 9 > 21
19 > 21
It is NOT a solution because 19 is NOT greater than 21
5. 3x < 45; x = 20
Plug in x
3x < 45
3(20) < 45
60 < 45
It is NOT a solution because 60 is NOT less than 45
6. 2x - 15 ≥ 5; x = 10
Plug in x
2x - 15 ≥ 5
2(10) - 15 ≥ 5
20 - 15 ≥ 5
5 ≥ 5
It IS a solution because 5 IS greater than or equal to 5
7. You see how the dot is filled in or not filled in? The dot is filled in when the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>") The dot is NOT filled in when the sign is < or >.
Since the arrow is going to the left of 6, that means that "x" is any number less than 6
x < 6
8. The dot is filled in and the arrow is going to the left of -3, that means "x" is less than or equal -3
x ≤ -3
9. The dot is not filled in, and the arrow is going to the right of 0, that means that "x" is any number greater than 0
x > 0
(I'll update problems 10-12 in a few minutes)
Distance = √(x2 − x1)^2 + (y2 − y1)^2
Substitute in the coordinates.
Distance = √(3 − (-7))^2 + ((-4) − 5)^2
Simplify by using order of operations/PEMDAS.
Distance = √(10)^2 + (-9)^2
Distance = √100 + 81
Distance = √181
The distance is √181 or 13.45362. However, I suggest leaving the distance as √181.
Answer:
x-intercept = 12, y-intercept = 4
Step-by-step explanation:
To find the x and y intercept, substitute 0 in for both values.
<u>Substitute 0 into x:</u>
2(0) + 6y = 24
6y = 24
<u>Divide each side by 6:</u>
y = 4
<u>Substitute 0 into y:</u>
2x + 6(0) = 24
2x = 24
<u>Divide each side by 2:</u>
x = 12
Answer:
x = 12
Step-by-step explanation:
First you need to use the distributive property.
19 = 9 + 2x - 14
Then you should simplify (9-14)
19 = 2x - 5
+5 +5 (Then add 5 to both sides)
24 = 2x
/2 /2 (Divide by 2 to get x by itself)
12 = x
Hope this helps!!!
-Unicorns110504
*Please mark brainliest*