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3 years ago

Write the standard form of the line that passes through the point (-2, 4) and is parallel to x - 2y = 6.

1 answer:

6 0

First calculate the function of x-2y=6:
x-2y=6 | - x
-2y=6-x | ÷ (-2)
y=0.5x-3

Now you have the function. Because the slope you search is parallel to this one, the slope is the same (in this case 0.5). A slope of 0.5 means for 2 steps to the right go one up. To define the function you are searching you have to find out the y intercept. For this take your point (-2|4). Now go as many steps to the right until you reach the y intercept or x=0 in this case you need 2 steps. So for 2 steps right you go one up. Now you have the y intercept (5).
The resulting function is: f(x) = 0.5+6.

You might be interested in

Solve using elimination. 5x + 7y = -6 4x + 7y = -9

Ede4ka [16]

Answer:

Simplifying
5x + 7y = -6

Solving
5x + 7y = -6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
5x + 7y + -7y = -6 + -7y

Combine like terms: 7y + -7y = 0
5x + 0 = -6 + -7y
5x = -6 + -7y

Divide each side by '5'.
x = -1.2 + -1.4y

Simplifying
x = -1.2 + -1.4y
__________________________________

Simplifying
4x + 7y = -9

Solving
4x + 7y = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
4x + 7y + -7y = -9 + -7y

Combine like terms: 7y + -7y = 0
4x + 0 = -9 + -7y
4x = -9 + -7y

Divide each side by '4'.
x = -2.25 + -1.75y

Simplifying
x = -2.25 + -1.75y

6 0

3 years ago

Can you help me out it would be much appreciate thank you

brilliants [131]

Answer:

The answer to the question is 50.28 feet²

Step-by-step explanation:

Here, is why the answer to the problem is 13.72!

The area of the shaded region is:-

Area of total region - Area of the circular region

Area of total region is 8² so it is 64 feet²

Area of Circular region formula is πr²

Substitute the values, for the formula and it is π4² = 22/7 × 16

→ 352/7

⇒ 13.72 Feet²

Therefore, the area of the shaded region is 13.72 Feet²

(Now, we subtract the two values)

64 - 13.72

⇒ 50.28 Feet²

I hope this answer helps!

7 0

2 years ago

Need help with question 7 and 8 with awnser please check photo for problems

Tanzania [10]

Answer:

7) 230mm

8) 98m

Step-by-step explanation:

7x+8+6x+6+9x-4 =22x+10

if x is 10 mm, 22(10)+10 =230mm

8) perimeter of rec =2( l + w )

=2 ( 2x-5+2x+6 ) = 8x + 2

if x is 12 metres, 8(12)+2 =98m

7 0

2 years ago

Can someone plsss help me

balu736 [363]

Answer:

y = -5/3 x + 40

Step-by-step explanation:

The general form is y = ax + b, where a is the slope and b is the y intercept.

So immediately you can see that b must be 40, since the line crosses the y axis at 40.

The slope can be calculated by finding two "nice" points on the line that are also grid lines.

How about (0,40) and (6, 30).

Then, calculate the slope by dividing the y difference by the x difference:

(30-40)/(6-0) = -10/6 = -5/3

So C must be the answer.

6 0

2 years ago

A marching band wants to line up for their performance. When they line up in threes there are 2 left over. When they line up in

aliina [53]

Answer:

59 students

Step-by-step explanation:

3s+2

5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59

4s+3

7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59

5s+4

9, 14, 19, 24, 29, 34, 39, 44, 49, 54, 59

6s+5

11, 17, 23, 29, 35, 41, 47, 53, 59

The smallest number of students there could have been is 59.

4 0

3 years ago