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Roman55 [17]
3 years ago
12

In right-angled ∆ ABC, ∟B=90⁰. ∆ ABC is in the first and second quadrant on the graph paper. The coordinates of the points A and

C are (2,5) and (-2,3). How do you find the possible pairs of coordinates of B?​
Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

The given coordinates of the points A and C of the right triangle ABC are (2, 5) and (-2, 3) respectively

The possible pairs of the coordinates of the point B are found as follows;

1) Draw a horizontal line from the point C to the right and a vertical line down from the point A to get the point B at (2, 3) which is the point of the perpendicular intersection of the two constructed lines above

2) Draw a vertical line from the point C upwards and a horizontal line to the left from the point A to get the point B at (-2, 5) which is the point of the  perpendicular intersection of the two newly constructed lines here

Step-by-step explanation:

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For a diamond problem what two numbers' sums equal 31 and their product is 234?
s344n2d4d5 [400]

Let

x-------> the first number

y------> the second number


we know that

x+y=31

x=31-y

equation 1


x*y=234

equation 2


substitute equation 1 in equation 2

(31-y)*y=234\\ 31y-y^{2} =234\\ -y^{2} +31y-234=0



using a graph tool-----> to resolve the second order equation

see the attached figure


the solution is

13 and 18

8 0
3 years ago
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Which property was used to solve the given inequality?
Amiraneli [1.4K]

Subtraction Property of Inequality is used to solve the given inequality

<em><u>Solution:</u></em>

Given inequality is:

y + 8 < - 8

To solve the inequality, subtract 8 on both sides,

We know that,

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

y + 8 < - 8\\\\\text{Subtract 8 from both sides of inequality }\\\\y + 8 - 8 < -8  - 8\\\\simplify,\\\\y

Thus, Subtraction Property of Inequality is used

4 0
3 years ago
The value of 5 nickels is <br> % of the value of a dollar.
Taya2010 [7]

The correct answer is 25 percent

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Colin invests £2350 into a savings account. The bank gives 4.2% compound
marin [14]

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

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Thank you!

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Answer:

sample 1: 75

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Step-by-step explanation:

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