jennlthomas72p3su1c jennlthomas72p3su1c
  • 24-02-2021
  • Mathematics
contestada

two line segments are parallel to each other. The first line segment has endpoint at (2, 3) and (1, 9). The second line segment has in points at (5, 4) and (3, y). What is the value of y?

Respuesta :

icerina006
icerina006 icerina006
  • 24-02-2021

Answer:

16

Step-by-step explanation:

since they are parallel, they should have the same gradient

the gradient for first line is:

[tex]\frac{9-3}{1-2}=\frac{6}{-1} =-6[/tex]

so gradient for second line is also -6

[tex]\frac{y-4}{3-5}=-6[/tex]

[tex]\frac{y-4}{-2}=-6[/tex]

y-4 = -6×-2

y-4 = 12

y=12+4=16

check: [tex]\frac{16-4}{3-5}=\frac{12}{-2}=-6[/tex]

please mark brainliest

Answer Link

Otras preguntas

find the difference between 89 and 21
y=8/3x-5  my teacher want me to find the slope and y-intercept for each equation
What is the cost of 1 dozen carnations if 30 cost $50.00?
what is 9/10 - 1/15 ?
Is the quotient of two irrational numbers sometime, always, or never irrational number?
According to the theory of _________, a cut in taxes would make the economy grow faster by putting more money into the hands of businesses.
is 0.00001 bigger than 0.001? why?
If the Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is labor cost as a percentage of R
When elements combine to form compounds, do their properties change?
Magnesium (Mg) is located to the right of sodium (Na) because Mg has.... a.) Less electrons b.) Less protons c.) Both a.) And b.) d.) None of the above.