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2 years ago

8

Identify the constant of proportionality2/33/236

1 answer:

devlian [24]2 years ago

5 0

The constant of proportionality is 3/2.

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What is the y intercept of 2y - 2x = 8

Firdavs [7]

Answer:

Step-by-step explanation:

Write in y = mx + b form

here, b ----> y intercept

2y - 2x = 8

2y = 2x + 8 {Divide the equation by 2}

$\frac{2y}{2}=\frac{2x}{2}+\frac{8}{2}\\$

y = x + 4

y-intercept = 4

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2 years ago

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Answer True

Step-by-step explanation:

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2 years ago

Prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.

sergiy2304 [10]

Answer:

See explanation

Step-by-step explanation:

a) To prove that DEFG is a rhombus, it is sufficient to prove that:

All the sides of the rhombus are congruent: $|DG|\cong |GF| \cong |EF| \cong |DE|$
The diagonals are perpendicular

Using the distance formula; $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$|DG|=\sqrt{(0-(-a-b))^2+(0-c)^2}$

$\implies |DG|=\sqrt{a^2+b^2+c^2+2ab}$

$|GF|=\sqrt{((a+b)-0)^2+(c-0)^2}$

$\implies |GF|=\sqrt{a^2+b^2+c^2+2ab}$

$|EF|=\sqrt{((a+b)-0)^2+(c-2c)^2}$

$\implies |EF|=\sqrt{a^2+b^2+c^2+2ab}$

$|DE|=\sqrt{(0-(-a-b))^2+(2c-c)^2}$

$\implies |DE|=\sqrt{a^2+b^2+c^2+2ab}$

Using the slope formula; $m=\frac{y_2-y_1}{x_2-x_1}$

The slope of EG is $m_{EG}=\frac{2c-0}{0-0}$

$\implies m_{EG}=\frac{2c}{0}$

The slope of EG is undefined hence it is a vertical line.

The slope of DF is $m_{DF}=\frac{c-c}{a+b-(-a-b)}$

$\implies m_{DF}=\frac{0}{2a+2b)}=0$

The slope of DF is zero, hence it is a horizontal line.

A horizontal line meets a vertical line at 90 degrees.

Conclusion:

Since $|DG|\cong |GF| \cong |EF| \cong |DE|$ and $DF \perp FG$ , DEFG is a rhombus

b) Using the slope formula:

The slope of DE is $m_{DE}=\frac{2c-c}{0-(-a-b)}$

$m_{DE}=\frac{c}{a+b)}$

The slope of FG is $m_{FG}=\frac{c-0}{a+b-0}$

$\implies m_{FG}=\frac{c}{a+b}$

5 0

3 years ago

a salt truck drops 39 kilograms of salt per minute. how many grams of salt does the truck drop per second

PilotLPTM [1.2K]

Multiply by 1 minute/60 seconds

the minutes cancel out and youre left with 0.65 kilograms per second

you then multiply by 1000 grams/1 kilogram

the kilograms cancel out and youre left with 650 grams per second

5 0

2 years ago

Read 2 more answers

Ms. Lynette earns $19.50 an hour when she works overtime. She worked overtime twice this week. One day she worked 3 hours of ove

algol13

(19.50*3)+(19.50*x)=146.25

8 0

2 years ago

Read 2 more answers