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3 years ago

5

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −x+4y=20?

1 answer:

spin [16.1K]3 years ago

3 0

Find the slopes of each
for
ax+by=c
slope=-a/b

for y=mx+b
m=slope

the slopes of paralell lines are equal
the slopes of perpendicular lines, when multiplied together, yeild -1

so
-1x+4y=20
sloope=-(-1)/4=1/4

check each

y=-4x-3
-4 times 1/4=-1
perpendicular

y=-1/4x+6
-1/4 and 1/4
neither

-1x+4y=8
-(-1)/4=1/4
1/4=1/4
paralell

4x+1y=-1
-4/1=-4
-4 times 1/4=-1
perpendicular

<span>y=−4x−3: perpendicular
y=−14x+6: neither
−x+4y=8: paralell
4x+y=−1: perpendicular </span>

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Express (0.0006) in engineering notation.

Alla [95]

.6 x 10^-3 (Move the decimal in a multiple of 3 and don't forget it's 6 tenths not the whole number 6) In scientific notation this would be;
(the whole number)6 x 10^-4

4 0

4 years ago

An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km befo

Nata [24]

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = $\sqrt{A^{2} + B^{2} -2AB cos(c) }$

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = $\sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60) }$

C = $\sqrt{250000 + 90000 - [215000 cos(60) }]$

C = $\sqrt{340000 - [215000 * 0.5 }]$

C = $\sqrt{340000 - [107500 }]$

C = $\sqrt{232500}$

C = 482 km

The bearing can be gotten by using the Sine Rule.

$\frac{sina}{A}$ = $\frac{sinc}{C}$

sina/500 = sin60/482

482 sina = 500 sin60

sina = $\frac{500 sin60}{482}$

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

6 0

3 years ago

A bottle contains 5/9 liters of soda. Keisha has 3 of these bottles.

satela [25.4K]

Answer: 1 2/3 Liters

Step-by-step explanation:

Create the equation

The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has

5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)

Solve

We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract

Numerator= 5x3=15
Denominator= 9x1=9

Your improper awnser would be 15/9

DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM

Create the simplest mixed number

15/9 is equal to 15 divided by 9

we can fit 1 9 in 15 without going over

1 ?/15

15-9=6

1 6/9

Simplify

6 and 9 are both divisible by 3

6 divided by 3 = 2

9 divided by 3 = 3

1 6/9=1 2/3

Awnser and add your units

1 2/3 is the simpelest form, this can not be further divided.

1 2/3 Liters of Soda

3 0

3 years ago

Is 51x51 is even or odd

AURORKA [14]

You can predict that it's odd because the end of the 2 numbers is 1 and 1 x 1 is 1 and one is an odd number. (answer is odd)

3 0

3 years ago

Read 2 more answers

What is 314.16 rounded to the nearest hundredth

Galina-37 [17]

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

4 0

3 years ago