Answer:
Use the distance formula to determine the distance between the two points.
Distance
=
√(x2−x1)^2 + (y2−y1)^2
Substitute the actual values of the points into the distance formula.
√ ( (−6) − 0)^2 +( (−3) − 4)^2
Subtract 0 from −6
√(−6)^2 + ( ( −3 ) −4 )^2
Raise −6 to the power of 2
√36 + ( ( −3 ) −4 )^2
Subtract 4 from −3
√36 + ( −7 )^2
Raise −7 to the power of 2
√ 36 + 49
Add 36 and 49
√85
Answer:
B. 70
Step-by-step explanation:
<h3><u>look at the smaller triangle</u></h3>
its dimensions are :
45 , 35 , 24
<h3><u>look at the bigger triangle ( this includes the dimensions of the smaller one)</u></h3>
its dimensions are :
45 + 45 , x , 24 + 24
= 90 , x , 48
from the dimensions given we can notice that :
<em>bigger triangle dimensions are = 2 * smaller triangle dimensions</em>
<em></em>
therefore to find the value of x :
x = 35 * 2
<h3><u>x = 70</u></h3>
<u />
<h3><u>hence the answer is B ) 70 </u></h3>
Answer:
absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12
Step-by-step explanation:
I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)
So an absolute value inequality must be written like this:
| x - a | *inequality* b
a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.
Now, you will have this:
|x - 3| *inequality* 9
Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).
So now we're at:
|x - 3| > 9
To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:
x<-6 and x>12
Hope this is helpful!
Hello,
2k²-3k-9=0
==>k=3 or k=-3/2
Answer C two rational solutions.
Answer:
12 cm
Step-by-step explanation:
2x4=8
3x4=12
Thats why
