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Pani-rosa [81]
2 years ago
12

35 POINTS WILL MARK BRAINLIEST

Mathematics
1 answer:
Alinara [238K]2 years ago
5 0

Answer:

50 is the intrest 550 os the amount

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What is the formula to find distance in coordinate geometry, given coordinates (x_1, y_1), (x_2, y_2)? (valid variables for this
madreJ [45]

Answer:

The distance formula is: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

Given:

Two points on a coordinate plane are given as:

(x_1,y_1)\ and\ (x_2,y_2)

Now, let the points be A(x_1,y_1)\ and\ B(x_2,y_2) and let 'd' be the distance between the two points.

Now, join the points A and B to make a line segment AB.

Also, draw a right angled triangle ABC right angled at point C. Point C is is the intersection of horizontal and vertical lines drawn from points A and B respectively as shown in the figure below.

From the triangle ABC, we observe that:

AB = d

AC = x_2-x_1

BC = y_2-y_1

Now, we use Pythagoras theorem to find 'd'. This gives,

AB^2=AC^2+BC^2\\\\d^2=(x_2-x_1)^2+(y_2-y_1)^2

Now, taking square root on both sides, we get:

\sqrt{d^2}=\pm\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Ignoring the negative result as distance can never be negative.

Therefore, the formula  to find distance in coordinate geometry, given coordinates (x_1, y_1), (x_2, y_2) is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

4 0
3 years ago
Solve the linear equation. X + 5 = -2 ​
Vladimir79 [104]

Answer:

x=-7

Step-by-step explanation:

So we have the equation:

x+5=-2

To solve, subtract 5 from both sides. This is the subtraction property of equality:

(x+5)-5=(-2)-5

The left side cancels:

x=(-2)-5

Subtract on the right.

x=-7

So, our answer is -7.

7 0
3 years ago
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Find the equation of the line passing<br> through the points (4,2) and (6, 10).<br> y=[? ]x + [ ]
Pachacha [2.7K]
Y=4x-14 to find the slope you need to do
rise/run and to find b you need to see where the line crosses the y axis
4 0
2 years ago
Quick plzzz help me on this due tonight
Xelga [282]

Answer:

2x²+9x-32

Step-by-step explanation:

north length of bedroom plus north length of living room plus north length of kitchen

7 0
3 years ago
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I need help with 4=2/3(2x-9
sweet [91]

Answer:

x=15/2

Hope it helps :)

4 0
3 years ago
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