All categories

3 years ago

A line, y = mx + b, passes through the point (1, 6) and is parallel to

Mathematics

1 answer:

docker41 [41]3 years ago

3 0

Answer:

Step-by-step explanation:

Let the line to be found be Line 2

Given:

Line 1 :

y = 4x + 6

Since y = mx + b

We can substitute and find that the slope of Line 1 is 4

Therefore slope of Line 2 = (4)

Line 2:

Point - (1,6)

Slope - 4

Therefore: 6 = (4)(1) + b

So equating it we get : b = 2

<h2>Answer = 2</h2>

You might be interested in

Find the length of the side of a square whose area is equal to the area of a rectangle with side measures 4.9 m and 1.6 m

trapecia [35]

Given :

Area of square equals to the area of rectangle of sides 4.9m and 1.6m .

To find :-

The side of the square .

Solution :-

As we know ,

Area = side²
4.9 * 1.6 = a²
a = √ 49/10 * 16/10
a = 7/10 * 4/10
a = 28/100
a = 0.28 m

6 0

3 years ago

Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is c

Anvisha [2.4K]

6.5 because you instantly take $9.50 away from $55. After you get that answer, you will have 45.5. Then divide 45.5 by 7 which will give you 6 and a half hours.

4 0

3 years ago

2 1/5 /10 = x/4, using proportions, solve for x, and explain.

lisov135 [29]

Answer:

x = 22/25

Step-by-step explanation:

Given

2 1/5 x

---------- = -----------

10 4

Using cross products

2 1/5 * 4 = x*10

Change 2 1/5 to an improper fraction

2 1/5 =(5*2+1)/5 = 11/5

11/5 *4 = 10x

44/5 =10x

Multiply each side by 1/10 to isolate x

44/5 *1/10 = 10x * 1/10

44/50 = x

Divide top and bottom by 2

22/25 = x

4 0

4 years ago

What is the answer for this fractoin 22 out of 40 equals ?

Hitman42 [59]

Answer:

0.55

Step-by-step explanation:

22/40 = 0.55

6 0

3 years ago

Due to a late summer drought, the change in water level (in feet) in the pond behind Eastview is falling

belka [17]

Answer:

The x-intercept represents when the water level of the Eastview pond. This shows that the Eastview pond's water level reached 0 at 52 (days/years/hours/minutes... etc).

6 0

3 years ago