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2 years ago

Help me pls! L need help with this

Mathematics

1 answer:

Sphinxa [80]2 years ago

4 0

Answer:

G. -5/2

Step-by-step explanation:

First we want to distribute the 6 into q and 3.

6q + 18 = 2(q + 4)

Next distribute the 2 into q and 4.

6q + 18 = 2q + 8

Now the variable needs to be on one side of the equation. Subtract 2q from both sides.

4q + 18 = 8

Isolate the variable. Subtract 18 from both sides.

4q = -10

Divide 4 on both sides.

q = -10/4

We can now simplify this even further. Divide -10/4 by 2/2

q = -5/2

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3 years ago

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Can anyone help me find the (?,?) coordinates? The given shape is a parallelogram.

Sonja [21]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

<em>In parallelogram, diagonals bisect each other.</em>

Solve it using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

Using this midpoint find the missing coordinate.

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinates and y-coordinates.

$$ \frac{m+h}{2}=\frac{x}{2}, \ \ \ \frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x, n = y

x = m + h and y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

7 0

2 years ago