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3 years ago

I'll give you brainlest if you can solve this one! I need STEP, please read the question.

Mathematics

1 answer:

myrzilka [38]3 years ago

3 0

Answer: 1.)= -26 , 2.)= 4 , 3.)= -20 4.)=2 5.)=48 6.)=20 7.)=68 If my answer is correct can you please choose the brainlest. GOOD LESSONS ♡

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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

Which of the following sets of numbers could not represent the three sides of a right

Kay [80]

The answer is B). {20,21,28}

4 0

3 years ago

Find the angles of a triangle whose two base angles are equal and whose third angle is 10° less than three times the base angle.

Illusion [34]

Answer:

well if the bottom two are 30 then that leaves you with 70

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to c

Vitek1552 [10]

Answer:

0.9953, 3.3629<x<4.0371

Step-by-step explanation:

Given that slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to complete the form is normally distributed witha standard devait of the 30 minutes:

If X represents the time to complete then

X is N(3.7, 0.5) (we convert into uniform units in hours)

a) percent of people would you expect to complete the form in less than 5 hours

= $100*P(x$

b) P(b<x<c) = 0.50

we find that here

c = 4.0371 and

b = 3.3629

Interval would be

$(3.3629, 4.0371)$

6 0

3 years ago

Dolly is measuring the angles of a triangle. He measures the first two angles of a triangle and gets 30 and 100. How could he fi

Natalija [7]

Answer:

the third angle is 50 degress

Step-by-step explanation:

the angle sum property states that the sum of all the interior angles of a triangle is 180.

therefore : 30 + 100 + x = 180

x = 180 - 130

x = 50

8 0

3 years ago

Read 2 more answers