Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:
is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :
Please refer to the attached image for the given dimensions and coordinates.
It is clearly visible that:
The given triangle RST has coordinates in first quadrant.
and the resulting coordinates R'S'T' are in third quadrant.
The rotation of angle from 1st quadrant to 2nd quadrant is 
and
The rotation of angle from 2nd quadrant to 3rd quadrant is .
<em></em>
<em> total rotation is </em>
.
Answer:
Tallahassee's Range: 6
Key West's Range: 4
Step-by-step explanation:
To calculate range, you'd subtract the lowest value from the highest value
Tallahassee:
Highest Value: 90
Lowest Value: 84
Range: 90 - 84 = 6
Key West:
Highest Value: 87
Lowest Value: 83
Range: 87 - 83 = 4
3. (a)
Add the three totals.
Total sales for all three: $2030 + $1540 + $1800 = $5370
Now divide each person's sales by the total sales to find each person's fraction of the sales.
Lola: 2030/5370
Ahmed: 1540/5370
Tommy: 1800/5370
3. (b)
Multiply each fraction from part (a) by $100.
Lola: 2030/5370 * $100 = $37.80
Ahmed: 1540/5370 = $28.67
Tommy: 1800/5370 = $33.52
1. <span>-0.9x+2.8=4.1
First subtract 2.8 from both sides.
-0.9x = 1.3
Now divide both sides by -0.9.
x = -1.4444..
This can be rounded to -1.44
</span><span>c) -1.44
2. Jordan has 650 pennies. He'll give 85 to his brother and split the rest with his sister.
</span>d) 85+2x=650
