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3 years ago

Which linear function has the steepest slope?

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Answer:

What is it steepest slope?

Step-by-step explanation:

Brrunno [24]3 years ago

8 0

What is the steepest slope I don’t get it

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2 years ago

Read 2 more answers

K is the midpoint of PQ, P has

Pachacha [2.7K]

Answer:

Coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q $(x_2,y_2)$

We will use the formula of midpoint: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We are given midpoint K and $x_1,y_1$ the coordinates of P we need to find $x_2,y_2$ the coordinates of Q.

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\$

Now, we can write

$-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16$

So, we get coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

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2 years ago

Solve the equation:<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B21%20-%204x%7D%7B9%7D" id="TexFormula1" title="\frac{21 - 4x

schepotkina [342]

Answer:

$x = -\frac{12}{5}$

Step-by-step explanation:

To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.

1) Multiply both sides by 9 to get rid of the fractions.

$\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\$

2) Distribute the 3 to 8x and 15. Then, combine like terms.

$21-4x + 24x + 45 = 18 \\66 + 20x = 18$

3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.

$20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}$

Thus, $x = -\frac{12}{5}$ .

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2 years ago