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3 years ago

Answer this if you can

Mathematics

1 answer:

Soloha48 [4]3 years ago

6 0

The answer is x=y.

You'll see if you replace all the x's with y's.

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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

A high school track is shaped as a rectangle with a half circle on either side. I really need help!!

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

3 0

3 years ago

Pls help first one gets brainliest (must show work)

worty [1.4K]

Answer:

I got this. Use the order PEMDAS search Up if you don’t know what it means.

Step-by-step explanation:

Start with What’s inside the parentheses

(X - 3) = 3x

(X + 5) = 5x

The divide.

How to divide it - The number coefficients are reduced the same as in simple fractions. When dividing variables, you write the problem as a fraction. Then, using the greatest common factor, you divide the numbers and reduce. You use the rules of exponents to divide variables that are the same — so you subtract the powers.

3 0

3 years ago

Read 2 more answers

A scientist makes a graph of temperature versus time. Temperature will be plotted on the ______ axis.

trapecia [35]

Temperature will be plotted on the y-axis

3 0

3 years ago

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16. Let W be the set of all vectors in R3 of the form a+2b b -3a Find a basis for Wand state the dimension of W.

Yuki888 [10]

Answer:

$W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}$

Observe that if the vector $x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ is in W then it satisfies:

$\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]$

This means that each vector in W can be expressed as a linear combination of the vectors $\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]$

Also we can see that those vectors are linear independent. Then the set

$\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\}$ is a basis for W and the dimension of W is 2.

7 0

3 years ago