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nata0808 [166]
3 years ago
15

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

Mathematics
1 answer:
Radda [10]3 years ago
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.
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. A triangle has vertices on a coordinate grid at points J(-1, 5), K(4, 5), and L(4, -2). What is the length, in units, of ?
Neko [114]

Answer:

20.6

Step-by-step explanation:

Given data

J(-1, 5)

K(4, 5), and

L(4, -2)

Required

The perimeter of the traingle

Let us find the distance between the vertices

J(-1, 5) amd

K(4, 5)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4+1)²+(5-5)²)

d=√5²

d= √25

d= 5

Let us find the distance between the vertices

K(4, 5), and

L(4, -2)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4-4)²+(-2-5)²)

d=√-7²

d= √49

d= 7

Let us find the distance between the vertices

L(4, -2) and

J(-1, 5)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-1-4)²+(5+2)²)

d=√-5²+7²

d= √25+49

d=  √74

d=8.6

Hence the total length of the triangle is

=5+7+8.6

=20.6

4 0
3 years ago
A map of an airport is laid out in a coordinate plane. An aeroplane starts at a gate at (0, 0.1). To reach a runway, the plane t
I am Lyosha [343]

Take the numbers and divide them i believe

4 0
2 years ago
Read 2 more answers
Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment.
ArbitrLikvidat [17]

The table gives the different combinations of stamps Karl has

the first option says that


a. The total number of stamps is 25.

according to this the addition of stamps for each combination should be 25

1st combination is 18 + 17 = 35

therefore this statement is wrong as the addition of stamps is 35 stamps


b. The total value of the stamps is $18.75.

lets check the first combination

18 x $ 0.45 + 17 x $ 0.65 = 8.1 + 11.05 = $19.15

so this statement too is wrong


c. The total number of stamps is 35.

as calculated above we know that the sum of the stamps in the first combination is 35

so lets check for the other combinations

20 + 15 = 35

22 + 13 = 35

25 + 10 = 35

so the answer is 35

this statement is correct


d.The total value of the stamps is $19.15

lets check the value for the third combination

22 x 0.45 + 13 x 0.65 = 9.9 + 8.45 = $18.35

this value isnt equal to $ 19.15

therefore this statement too is wrong


correct answer is C

4 0
3 years ago
Read 2 more answers
Help plz i need help k
irga5000 [103]
What do you need help with?
3 0
3 years ago
Write an equation in slope-intercept form of the line that passes through (6, -2) and (12, 1)
bogdanovich [222]

Answer:

y= .5x - 5

Step-by-step explanation:

brainliest pls

7 0
3 years ago
Read 2 more answers
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