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viktelen [127]
4 years ago
13

What is the distance between points L(5,7) and M(3,-8)​

Mathematics
1 answer:
ankoles [38]4 years ago
5 0

Answer:

7.5

Step-by-step explanation:

gradient=(y1-y2)/(X1-x2)

You might be interested in
There are three consecutive even integers. If twice the first integer added to the second is 268, 244 find all three integers.
Rudik [331]

Answer:

The numbers would be 89,414 , 89,416, and 89,418

Step-by-step explanation:

In order to find this, start by setting the lowest number as x. Then we can determine that the next two even integers are x + 2 and x + 4. From this we can write the following equation.

2(x) + x + 2 = 268,244

3x + 2 = 268,244

3x = 268,242

x = 89,414

Since the first number is 89,414, we know the next two are 89,416 and 89,418.

6 0
3 years ago
Find the expression that is equivalent to the original exponential expression depicted below. Thank you!
svet-max [94.6K]

Answer:

A

Step-by-step explanation:

you multiply the numbers and add the variables

5 0
2 years ago
Read 2 more answers
Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}  \\

From the question

a = 1 , b = 5 , c = 13

So we have

k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

k_1 =  \frac{ - 5 + 3 \sqrt{3} \: i }{2}  \:  \:  \:  \: or \\ k_2 =  \frac{ - 5 - 3 \sqrt{3}  \: i}{2}

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

Hope this helps you

8 0
3 years ago
14. The area of 10 square plots is 160 ares. Find the length in metres of the side of each plot (3mks)​
VashaNatasha [74]

Answer:

Step-by-step explanation:

1 are = 100 m²

Assuming the ten squares are congruent, the area of each square is 160/10 = 16 are

16 are × 100 m²/are = 1600 m²

each side is √1600 = 40 m

7 0
3 years ago
Which are correct representations of the inequality –3(2x-5) &lt; 5(2 - x)? Select two options.​
Igoryamba

Answer:  All the ways I solved this the answer is the same,

x>5 or (5,∞) That being the Interval Notation {The second one}

Step-by-step explanation:

3 0
3 years ago
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