Answer:
x = 24
Step-by-step explanation:
using the rule of exponents
× 
= 
consider left side
× 
= × 
= 
then
= 
since the bases on both sides are equal, both 5 then equate exponents
= 16 ( multiply both sides by 6 )
4x = 96 ( divide both sides by 4 )
x = 24
The ratio is 10:14 or 5:7 which is the ratio of boys to girls!
The slope of RS, RT, and ST are 1/2, -1 and -4 respectively
<h3>Triangle and slopes</h3>
Given the folllowing coordinates R (2,3), S (4,4), and T (5,0) os triangle RST
The formula for calculating the distance is expressed as:
For length RS:
D = √(4-3)²+(4-2)²
RS = √1+4
RS= √5
For length RS:
RT = √(0-3)²+(5-2)²
RT = √9+9
RT= 3√2
For length ST:
D = √(0-4)²+(5-4)²
ST = √16+1
ST= √17
Since all the sides are different, the triangle is a scalene triangle.
For the slope of the sides
For the side RS;
Slope = 4-3/4-2
Slope of RS = 1/2
For the side RT:
Slope = 0-3/5-2
Slope of RT = -3/3 = -1
For the side ST
Slope of ST = 0-4/5-4
Slope of ST = -4/1 = -4
Hence the slope of RS, RT, and ST are 1/2, -1 and -4 respectively
Learn more on slope and distance here: brainly.com/question/2010229
Answer:
(1/3)(3x+12)
Step-by-step explanation:
1/3
times (3x+12)
3x+12 will be three times the number x + 12
Answer:
-1
Step-by-step explanation:
7-2(3+1)
=7-2(4) or =7-(6+2)
=7-8
=-1
