Answer:
<h2><em>
y = 8, ST = 31 and RT = 81</em></h2>
Step-by-step explanation:
Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT
Om substuting the expression into the formula;
6y+2+3y +7 = 13y - 23
collect the like terms
6y+3y-13y+2+7+23 = 0
-4y+32 = 0
Subtract 32 from both sides
-4y+32-32 = 0-32
-4y = -32
y = -32/-4
y = 8
Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST
ST = 3(8)+7
ST = 24+7
ST = 31
Similarly,
RT = 13y-23
RT = 13(8)-23
RT = 104-23
RT = 81
<em>Hence y = 8, ST = 31 and RT = 81</em>
Answer:
xy = - 27
Step-by-step explanation:
Note that
(x - y)² = x² - 2xy + y² ← substitute given values, that is
9² = 27 - 2xy
81 = 27 - 2xy ( subtract 27 from both sides )
54 = - 2xy (divide both sides by - 2 )
- 27 = xy
Answer:
45). √ 147a⁴ = √ 147 × √a⁴ = <u>(7√3 )x²</u>
46.) √18x = √9 × 2x = <u>3√2x</u>
47.) √80n = √16 × 5x = √16 × √5x = <u>4√5x</u>
48.) √200x² = √200 × √x² =
√ 100× 2 × x = <u> (10√2)x</u>
49.) √256x³ = √256 × √x³ = <u> 16√x³</u>
50.) -7 √ 75x⁴ = -7√75 × √x⁴
<h3>= (- 35√3)x²</h3>
Hope this helps you
