Line segment from (-10,-3) to (1,7)
a ratio of 2 to 3 means that the line segment is divided into 5 equal pieces
let (x,y) be 2/5 of the way from (-10,-3) to (1,7)
what is the distance of the segment ?
use the distance formula to find the distance of the segment
√(11^2+10^2)=√221
-10 to 1 is 11 units, 2/5(11)=4.4
-3 to 7 is 10 units, 2/5(10)=4
-10+4.4=-5.6
-3+4=1
the point is (-5.6,1)
check:
find the distance from (-10,-3) to (-5.6,1)
find the distance from (-5.6,1) to (1,7)
these distances should add up to √221
first distance:√[(4.4^2)+4^2]=√35.36
second distance:√[(6.6^2)+6^2]=√79.56
√35.56+√79.56=√221
5.946+8.919=14.866
14.865≈14.866
Answer:
a. x>
23
/3
b: x<
13/5
Step-by-step explanation:
A: Step 1: Subtract x from both sides.
4x−15−x>x+8−x
3x−15>8
Step 2: Add 15 to both sides.
3x−15+15>8+15
3x>23
Step 3: Divide both sides by 3.
<u>x>
23/3</u>
B: Step 1: Subtract 7x from both sides.
2x+13−7x>7x−7x
−5x+13>0
Step 2: Subtract 13 from both sides.
−5x+13−13>0−13
−5x>−13
Step 3: Divide both sides by -5.
Answer: x<
13/5
Do 825,150 minus 448,925 and the sum will be the number of visitors that went to the park in October.
Answer:
81/16 = 5 1/16
Step-by-step explanation:
-4(square root of x) -3 = -12
Add 3 to both sides
-4(square root of x) = -12 +3 = -9
Divide both sides by -4
(square root of x) = -9/-4
-/- equals +
(square root of x) = 9/4
Square both sides to cancel the square root
x = (9/4)^2 = 81/16 = 5 1/16
If you edit the question or repost I can answer if you provide an image! :D
