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3 years ago

6. Given WY with W(3, 7) and Y(13, -8), if X

Mathematics

1 answer:

inysia [295]3 years ago

8 0

Answer:

(5, 1)

Step-by-step explanation:

Given the coordinates W(3, 7) and Y(13, -8) divided into the ratio 3:2

The midpoint formula is expressed as;

M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)

a = 3,

b = 2

x1 = 3

y1 = 7

x2 = 13

y2 = -2

To get the coordinate of X

x = ax1+bx2/a+b

x = 3(3)+2(123/3+2

x = 9+26/5

x = 35/5

x= 7

y= ay1+by2/a+b

y = 3(7)+2(-8)/2+3

y = 21-16/5

y = 5/5

y = 1

Hence the coordinate of X is (x, y) = (5, 1)

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In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 a

Inga [223]

Answer:

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

$O'(x,y) = O(x,y) + T(x,y)$ (1)

Where:

$O(x,y)$ - Original point, dimensionless.

$T(x,y)$ - Translation vector, dimensionless.

$O'(x,y)$ - Translated point, dimensionless.

If we know that $A'(x,y) = (1, -5)$ and $A(x,y) = (4,-2)$ , then the translation vector is:

$T(x,y) = A'(x,y)-A(x,y)$ (2)

$T(x,y) = (1,-5)-(4,-2)$

$T(x,y) = (-3,-3)$

If we know that $B(x,y) = (7,-4)$ , $C(x,y) = (2,-5)$ and $T(x,y) = (-3,-3)$ , then the translated points are, respectively:

$B'(x,y) = B(x,y)+T(x,y)$ (3)

$B'(x,y) = (7,-4) +(-3,-3)$

$B'(x,y) = (4, -7)$

$C'(x,y) = C(x,y) +T(x,y)$

$C'(x,y) = (2,-5) + (-3,-3)$

$C'(x,y) = (-1, -8)$

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

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2 years ago

Equation for, One half the sum of 8 and x

Ahat [919]

Answer:

$\frac{8 + x}{2}$

Step-by-step explanation:

First, we have to write 8 + x, but since it's half of that we write it as a fraction with a 2 on the bottom to halve it.

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3 years ago

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Murrr4er [49]

Answer:

As the weight increases, the price increases.

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A right angled triangle has two shorter sides and one is twice as long as the other. The hypotenuse is 25cm long. What are the l

Bas_tet [7]

Answer: x = 14.43

Step-by-step explanation:

The Pythagorean Theorem states the following:

a^2 + b^2 = c^2

Make one side of the triangle x

Make the second side of the triangle 2x

Now, you can plug the values into the equation, right?

x^2 + 2x^2 = 25^2 or 625

3x^2 = 625

Divide each side by 3 and you are left with:

x^2 = 208.33

Now, take the square root of 208.33

x = 14.43

That is the shorter side. The longer side is twice that value: Therefore, 14.43 x 2 = 28.86 14.43 is one side of the triangle. The other is that same value times two. Therefore, the sides of your triangle are: 14.43 Shorter side 28.86 Longer side

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3 years ago

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Please actually help me. ill give brainliest if you explain your answer.

meriva

Answer:

subtract 11 from both sides

Step-by-step explanation:

-3x+11=44

-3x=33

x=-11

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