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3 years ago

Please Help ;-;

Mathematics

1 answer:

zubka84 [21]3 years ago

6 0

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-8, -8) and (-7, 9). Substitute to the formula of a slope:

$m=\dfrac{9-(-8)}{-7-(-8)}=\dfrac{17}{1}=17$

Put the coordinates of the point (-7, 9) and the value of slope to the point-slope formula:

$y-9=17(x-(-7))\\\\\boxed{y-9=17(x+7)}$

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A school had a girl:boy ratio 5.4.

Ilya [14]

Answer:

164

The 982 part seems wrong. Are you sure it isn't 981?

around 436 if I use 981 instead. 982 would give a decimal and that would be kinda weird for a part human.

Step-by-step explanation:

You can divide the 205 by 5 to simplify the ratio down. 205/5 = 41. Then you can multiply by 4 to find then number of boys.

981

So you can add the 5 and 4 together to 9 and then divide 981 by 9 to get 109. Then you can multiply by 4 to get 436.

Hope this helps!

8 0

3 years ago

I will give you brainliest! A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the p

Leviafan [203]

180 degree rotation negates both coordinates, and takes a point from quadrant 2 to quadrant 4.

Answer: 4

We can also rotate 180 degrees clockwise, or 540 degrees counterclockwise and end up in the same place.

Combining transformations, we can reflect in the x axis and then in the y axis, also negating both coordinates so equivalent to 180 degree rotation.

7 0

3 years ago

PLEASE HELP ME

balandron [24]

Answer:

The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

Translation 5 units to the left: (x,y) → (x - 5, y)

Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)

Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)

Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)

Translation 1 unit down: (x,y) → (x, y-1)

(-11,2) → (-11, 2 - 1) = (-11, 1)

(-9,7) → (-9, 7 - 1) = (-9, 6)

(-7, 2) → (-7, 2 - 1) = (-7, 1)

Reflextion accross the x-axis: (x,y) → (x, -y)

(-11, 1) → (-11, -1), which are the coordinates of vertex X"

(-9, 6) → (-9, -6), which are the coordinates of vertex Y""

(-7, 1) → (-7, -1), which are the coordinates of vertex Z"

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

7 0

3 years ago

Solve for x: 4/x - x/8 = 0

Lostsunrise [7]

Answer:

$x = \sqrt{32}$