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Georgia [21]
2 years ago
5

Find the distance between the points (-1,-2) and (5,2). Simplified radical form.

Mathematics
1 answer:
frozen [14]2 years ago
3 0

Answer:

2\sqrt{13}

Step-by-step explanation:

Using the distance formula,

\sqrt{( x_{2}-x_{1} )^2+(y_{2} -y_{1})^2 }

We just need to plug in the numbers.

So \sqrt{(-1-5)^2+(-2-2)^2}

Then we simplify it to

\sqrt{(-6)^2+(-4)^2} , to \sqrt{36+16}

Finally, we get

\sqrt{52}, which is 2\sqrt{13} when simplified.

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Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
3 years ago
On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to f
pav-90 [236]

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

The coordinates of the triangle are given as:

R = (-5,6)

S = (3,4)

T = (-2,2)

The area (A) of a triangle from its coordinates or vertices are:

A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|

Substitute values for x's and y's

A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

Hence, the expression that represents the area of the triangle is A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

Read more about areas of triangles at:

brainly.com/question/9664477

6 0
2 years ago
Name four angles whose tangent equals 0.
ehidna [41]

Answer:

The answer is C. Hope this helps!

8 0
3 years ago
An experiment was conducted, and it was determined that plants that received more than two hours of sunlight per day grew larger
natka813 [3]

Answer:

A) Based on the data, this is an example of correlation and causation.

Step-by-step explanation:

The correlating item is the sunlight

The causation is the growth vs. non growth:  The sunlight caused growth.  The lack of sunlight caused the plants not to grow as fast.

5 0
3 years ago
Read 2 more answers
Can anyone help me plzzzzz /deltamath
irakobra [83]
ANSWER: square root of 10

Rule: Pythagorean Theorem (a^2 + b^2 = c^2; side^2 + second side^2 = hypotenuse^2)

(substitute the missing side w/ a variable)
x^2 + 7^2 = (sqrt. 59)^2
x^2 + 49 = 59
x^2 = 10
x = sqrt. 10
7 0
3 years ago
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