All categories

3 years ago

100 POINTS!!!!!!!!!!

Mathematics

2 answers:

Vanyuwa [196]3 years ago

8 0

Answer:

x = 6 , x = 4

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides then divides those sides proportionally, that is

$\frac{x}{18}$ = $\frac{28-21}{21}$ = $\frac{7}{21}$ = $\frac{1}{3}$ ( cross- multiply )

3x = 18 ( divide both sides by 3 )

x = 6

(14)

$\frac{x+5}{15}$ = $\frac{5x+1}{35}$ ( cross- multiply )

15(5x + 1) = 35(x + 5) ← distribute parenthesis on both sides

75x + 15 = 35x + 175 ( subtract 35x from both sides )

40x + 15 = 175 ( subtract 15 from both sides )

40x = 160 ( divide both sides by 40 )

x = 4

Ne4ueva [31]3 years ago

5 0

the fiest answer is x=6 for the second one the answer is x=4

Step-by-step explanation:

x+15/5x+1 =15/35 then cross multiply

1st one

You might be interested in

Gina is shopping for a new bicycle. The price of the bicycle is $300 and there is an 8% sales tax. Gina wants to know the total

Luda [366]

70$ but I’m not 100% sure

3 0

3 years ago

13x+y=4 please help me on this!

expeople1 [14]

Answer: SO if you hv to solve for x then the answer is 4/13. And if you wanna solve for y then the answer is 4.

Step-by-step explanation: solve for x=

13x+y=4

13x+0=4

x=4/13

Solve for y=

13(0)+y=4

y=4

8 0

3 years ago

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$