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Nina [5.8K]
3 years ago
12

Find the distance from point A to the given line point A (2,-1), y=-x+4​

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

4

Step-by-step explanation:

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Find the value of c that completes the square x2+34x+c​
ruslelena [56]

Answer:

c = 289

Step-by-step explanation:

Given

x² + 34x

To complete the square

add ( half the coefficient of the x- term )² to x² + 34x

= x² + 2(17)x + 17²

= x² + 34x + 289 ( with c = 289 )

= (x + 17)² ← perfect square

7 0
3 years ago
Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

7 0
3 years ago
Combine the like terms to create an equivalent expression. 7k - 3k + 11
Semenov [28]
I believe the answer is 4k + 11
6 0
3 years ago
What is the difference between cross-section and intersection in geometry?
Triss [41]
A cross-section is the shape that would be exposed when cutting straight through a 3-D object. for example, cutting horizontally through a regular cone would expose a circle.

an intersection is where 2 or more shapes (does not matter how many dimensions) overlap. for example, the point at which two lines overlap is the intersection. or the area that two overlapping circles share is the intersection.
5 0
3 years ago
Help. Fully explain plz
frozen [14]
110/55 is what u get if u add them all up
7 0
3 years ago
Read 2 more answers
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