Factor 70b–30c.<br> Write your answer as a product with a whole number greater than 1.

Y=x-2<br> a. (3,1)<br> b. (1,3)

Troyanec [42]

A. (3,1) because if you put 3 as x, 3-2=1,which then equals 1 as y

5 0

3 years ago

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

sertanlavr [38]

y = ( 48 *2 ) / 6

Step-by-step explanation:

If y varies directly as x they are directly proportional, which means they relate to each other in the same way....

2 : y = 6: 48

what is y if x = 2?

The value of y can be found if you write it a two fracrions

2 : y = 6 : 48

2 / y = 6 / 48

cross multiply the fractions gives

6*y = 48 *2

divide left and right of the = sign by 6 gives the answer:

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

Other method:

multiply left and right of the = sign by y

2 * y/y = y *6 / 48

6y / 48 = 2 * 1

multiply left and right of the = sign by 48

6y * 48/48 = ( 48 *2 )

6y = ( 48 *2 )

divide left and right of the = sign by 6

6/6* y = ( 48 *2 )/6

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

4 0

3 years ago

A short-wave radio antenna is supported by two guy wires, 150 ft and 180 ft long. Each wire is attached to the top of the antenn

Dafna1 [17]

The distance between the anchor points of the two guy wires holding radio antenna is 181 feet (to the nearest foot)

<h3>How to determine the distance between the two anchor points of the guy wire</h3>

The problem will be solved using SOH CAH TOA

let the distance between the 150 ft long guy wire and the radio antenna be x

let the distance between the 180 ft long guy wire and the radio antenna be y

cos 65° = x / 150

x = cos 65° * 150

x = 63.39 ft

The height of the antenna

sin 65° = height of antenna / 150

height of antenna = sin 65 * 150

height of antenna = 135.95

using Pythagoras theorem

(length of guy wire)² = (height of the antenna)² + (anchor distance)²

(anchor distance)² = 180² - 135.95²

anchor distance = √(180² - 135.95²)

anchor distance = 117.97

The anchor points distance apart

= 63.39 + 117.97

= 181 (to the nearest foot)

Learn more on Pythagoras theorem here:

brainly.com/question/29241066

#SPJ1

4 0

2 years ago

It takes omar four minutes to eat eight carrots sticks. how long does it take him to eat one ?

astra-53 [7]

It takes Omar 30 seconds to eat one considering he ate 8 in 4 minutes ...

If we really wanted to we could turn this into the fraction 8/4
8 being the amount of carrot sticks he ate and 4 being the time it took
now all u have to do is simplify that turns into 2/1 and since the 1 is one minute and her can eat 2 in one minute we can safely say he eats 1 carrot stick every 30 seconds

:) hope this helps!!

5 0

3 years ago

If the diagonals of a parallelogram are congruent and are perpendicular bisectors of each other than what is it

alexira [117]

The parallelogram is a square

5 0

3 years ago

Factor 70b–30c. Write your answer as a product with a whole number greater than 1.