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3 years ago

Are the two lines x+2y=7 and 2x+4y=21 parallel or perpendicular?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

8 0

Answer:

They are parallel

Step-by-step explanation:

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Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 3/5 doors. How many liters of pai

barxatty [35]

Answer:

$1\frac{1}{4}\ liters$

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

$1\frac{3}{5}=\frac{1*5+3}{5}=\frac{8}{5}$

step 2

Using proportion

$\frac{2}{(8/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=2/(8/5)\\ \\x=10/8\ liters$

step 3

Convert to mixed number

$\frac{10}{8}\ liters=\frac{8}{8}+\frac{2}{8}=1\frac{1}{4}\ liters$

8 0

3 years ago

A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.An orange hot-air balloon is 160 fee

Serhud [2]

ANSWER

Find out the how long will the Yellow balloon be higher than the orange balloon.

To proof

Now the diagram is given below

As given

A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.

i.e height of the yellow baloon off the ground = 100 feet

rising at rate = 8 feet per second.

.An orange hot-air balloon is 160 feet off the ground and rising at a rate of 5 feet per second.

i.e height of the orange baloon off the ground = 160 feet

rising at rate = 5feet per second.

Formula

$Relative\ velocity = \frac{Relative\ Distance}{Relative\ time}$

Relative velocity = rising rate of yellow balloon - rising rate of orange balloon

= 8 -5

= 3 feet per second

Relative distance = height of the yellow baloon off the ground - height of the orange baloon off the ground

= 160 -100

= 60 feet

put in the formula

$= \frac{60}{3}$

= 20 second

after 20 second Yellow balloon will be higher than the orange balloon.

Hence proved

8 0

3 years ago

The ratio of Tv commercial mins to scheduled show time mins is 6 to 24 how many mins of commercial time will be seen during a 2

vodomira [7]

Well first set up the first ratio as 6/24. That is commercial mins over show time mins. Then to keep the units the same convert 2 hours into minutes which would be 120 minutes. Then set up your next ratio as x/120 since you’re trying to find the commercial minutes. Then cross multiply so that it’s 24x=720 and then x=30 and that’s the amount of commercial minutes for 2 hours.

3 0

3 years ago

What is the area? (IXL)

Zina [86]

Answer:

45 square meters

Step-by-step explanation:

we know that

The area of trapezoid is equal to

$A=\frac{1}{2}(b1+b2)h$

where

b1 and b2 are the parallel bases

h is the height of trapezoid (perpendicular distance between the parallel bases)

we have

$b1=6\ m\\b2=9\ m\\h=6\ m$

substitute

$A=\frac{1}{2}(6+9)6$

$A=45\ m^2$

3 0

4 years ago

Please help me <br>find f(x+h)

Kay [80]

Answer:

f(x) = -2x+5

f(x+h) = -2x -2h +5

g(x) = -4x-2

g(x+h) = -4x -4h -2

h(x) = 4x^2+1

h(x+h) = 4(x+h)^2 +1 = 4x^2 +8xh + 4h^2 +1

Q(x) = -3x^2 +4

Q(x+h) = -3(x+h)^2 +4 = -3x^2 -3h^2 -6xh + 4

3 0

2 years ago