Need help −5x = 15 !!!!!!!!!!!!
2 answers:
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1) First find the coordinates of the shape:
G(-1, -2), F(-1, -1), E(2,2), D(2, -2)
2)It asked for dilation of 2 about the origin.
<u><em>*What is dilation?</em></u>
<em>Dilation is the expanding/enlarging a transformation by a scale factor</em>
Now we multiply all the coordinates with the factor of 2
G(-1*2, -2*2) = G'(-2, -4)
F(-1*2, -1*2) = F'(-2, -2)
E(2*2, 2*2) = E'(4, 4)
D(2*2, -2*2) = D'(4, -4)
3) Now plot these points and graph the transformation:
North divided by Total (Total of North, South, Central, East, and West)
North = 1
South = 4
Central = 2
East = 3
West = 2
North ÷ Total
1 ÷ (1 + 4 + 2 + 3 + 2 )
1 ÷ (12)
=
Answer: B
Answer:
The answer is below
Step-by-step explanation:
We have a vector with a magnitude of 75 miles and a direction of 300 °.
To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 300 ° is in the fourth quadrant (270 ° - 360 °), that is, it would be 30 ° (300 ° - 270 °) with respect to to the y axis negative.
Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 75 miles, that is, this value would be the hypotenuse.
The value on the x-axis can be calculated using the sine of the angle, like this:
sin 30 ° = x / 75
x = sin 30 ° * 75
x = 37.5
Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:
y ^ 2 = 75 ^ 2 - 37.5 ^ 2
y ^ 2 = 4218.75
y = 64.95, -64.95 because it must be located in the fourth quadrant
Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (37.5, -64.95).
Then I leave a sketch of what it would be:
