So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.
Slope of perpendicular lines is the opposite sign and the reciprocal of the other.
So if your slope was 2 the perpendicular line would have a slope of -1/2.
So the equation, 2x + y = 3
Can be rewritten as
y= -2x+3
Perpendicular slope: 1/2
Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.
y=mx+b
4=1/2(5)+b
Solve for b (y intercept)
4-2.5=b
1.5=b
So the equation of the perpendicular is
y=1/2x+3/2 or y=.5x+1.5
Answer:
both students are technically correct
Step-by-step explanation:
when the figure is reflected its other half mirrors it which means that all sides and angles are the same.
2 = 7 r statement
2/7 = r divide both sides by 7
Answer:
2.09 × 10¹⁰ pounds
Step-by-step explanation:
The American chemical industry produces more than 9.5 million metric tons of sodium carbonate.
in this problem we have to calculate the amount in pounds of sodium carbonate are produced annually.
so we will convert the amount of 9.5 million metric tons to pounds.
Since in 1 metric ton = 2204.62 pounds
Hence, 9,500,000 metric ton = 2204.62 × 9,500,000
= 20943890000 pounds
= 2.09 × 10¹⁰ pounds
2.09 × 10¹⁰ pounds of sodium carbonate are produced annually.
The area of the shaded part is: 42.14 ft² .
<h3>Area of Square</h3>
Area = s²
<h3>Area of Quarter Circle </h3>
Area = 1/4πr²
Thus:
Area of the shaded part of the figure = area of square - area of quarter circle
Area of shaded part = s² - 1/4πr²
s = 14 ft
r = 14 ft
Substitute
Area of shaded part = 14² - 1/4(3.14)(14²)
= 42.14 ft²
Therefore, the area of the shaded part is: 42.14 ft² .
Learn more about area of square on:
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