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jeka57 [31]
3 years ago
7

A line segment has end points at (3, -5) and (4, 1) What is its length?

Mathematics
1 answer:
Serhud [2]3 years ago
5 0

Answer:

6.08units

Step-by-step explanation:

The distance between two points of a line is expressed as;

D = √(y2-y1)²+(x2-x1)²

Given the coordinates  (3, -5) and (4, 1);

D = √(1+5)²+(4-3)²

D = √(6)²+(1)²

D = √36+1

D = √37

D = 6.08 units

Hence its length is 6.08units

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Write the equation of the graph which is the reflection of y=−|x−1|−1 about the origin
Norma-Jean [14]

Answer:

f(x) = |x + 1| + 1

Step-by-step explanation:

A reflection over the y-axis followed by a reflection over x-axis is equivalent to a reflection about origin.

f(x) = -|x-1| -1

reflection over the x-axis:

-f(x) = (-1)*(-|x-1| -1) = |x-1| +1

reflection over the y-axis of the previous function:

-f(-x) = |-x-1| +1 = |x + 1| + 1

which is the reflection of f(x) about the origin

6 0
3 years ago
Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged
ivanzaharov [21]
The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.

A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.

The dimensions of the original photo is 6 x 6.
7 0
3 years ago
Read 2 more answers
1. Nasim thinks of a number.
mrs_skeptik [129]

Step-by-step explanation:

5x-16 = 3 (10+x)

=> x= 23

7 0
2 years ago
Slope = 4, point (3,-2) is on the line
Leni [432]

Answer:

y = 4x + b

Step-by-step explanation:

We know that (3, -2) is on this line. So 3 = m(-2)+b.

This leaves us with two variables the slope (m) and the y intercept (b).

But wait a minute, the slope is given to us since it says slope = 4.

Our equation is now, 3 = 4(-2)+b

3 = -8 + b

b = 11.

Our final equation is now y = 4x + b.

(y,x) is a point on this line.

Hope this helped!

JoeLouis2

8 0
3 years ago
Which one of these is NOT equivalent to 2/3?<br> 1. 11/23<br> 2. 12/18<br> 3. 14/21<br> 4. 6/9
ArbitrLikvidat [17]
Number 1 is not equivalent to 2/3
8 0
3 years ago
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