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2 years ago

The length of a rectangle is 4 inches more than twice the width. If the perimeter of

Mathematics

1 answer:

padilas [110]2 years ago

3 0

Answer:

Step-by-step explanation:

2X+4)+(2X+4)+X+X=38

Lets add our X's and then add our whole numbers. 6X+8=38

Lets work our sentence by subtracting 8 from each side of the equal sign.

6X+8–8=38–8

6X=30

Lets divide each side by 6.

6X/6=30/6

X=5 now lets prove 5 is X.

(2×5+4)+(2×5+4)+5+5=38

(14)+(14)+5+5=38

28+10=38

38=38

X is equal to 5.

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3 years ago

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3 years ago

given directed line segment AB find the coordinates of p such that the ratio of ap to pb is 2:1 plot point p

murzikaleks [220]

Answer:

$P(\frac{10}{3}, \frac{-2}{3})$

Step-by-step explanation:

The question is incomplete; However

$A = (-2, -4)$

$B = (6, 1)$

Required

Determine coordinates of P

When line segment is divided in ratios, the following formula calculates the coordinates;

$P(x,y) = \{\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\}$

In this case;

$m:n = 2:1$

$(x_1,y_1) = (-2, -4)$

$(x_2,y_2) = (6, 1)$

So, the coordinates of P is calculated as thus

$P(x,y) = \{\frac{2 * 6 + 1 * (-2)}{2+1}, \frac{2 * 1 + 1 * (-4)}{2+1}\}$

$P(x,y) = \{\frac{12 -2}{3}, \frac{2 -4}{3}\}$

$P(x,y) = \{\frac{10}{3}, \frac{-2}{3}\}$

Hence, the coordinates of P is

$P(\frac{10}{3}, \frac{-2}{3})$

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