4. Six workers are hired to weed a field by

Mathematics

1 answer:

user100 [1]2 years ago

4 0

Answer:

594 square feet

Step-by-step explanation:

Area of a rectangle is length times width. We can find the area of each workers plot by multiplying 9 and 11 to get 99 sq feet. There is six workers, and therefore six plots of land, so we'd take our 99 sq feet and count that six times to get 594 square feet.

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A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line

Andre45 [30]

Answer:

The equation of line passing through (10,9) and having slope 3/2 is: $y = \frac{3}{2}x-6$

Step-by-step explanation:

The slope intercept form of a line is given by:

$y=mx+b$

We are given

Slope = m = 3/2

Point = (10,9)

Putting the value of the slope in the equation we get

$y = \frac{3}{2}x+b$

b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.

Putting (10,9) in the equation

$9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6$

Putting b=-6 in the equation

$y = \frac{3}{2}x-6$

Hence,

The equation of line passing through (10,9) and having slope 3/2 is: $y = \frac{3}{2}x-6$

5 0

2 years ago

I need to know the steps

vaieri [72.5K]

YES. She is correct.

$\dfrac{x}{16}=4\qquad\text{multiply both sides by 4}\\\\\not\!4^1\cdot\dfrac{x}{16\!\!\!\!\!\diagup_4}=4\cdot4\\\\\dfrac{x}{4}=16$

Equations are equivalent

Their solutions:

$\dfrac{x}{16}=4\qquad\text{multiply both sides by 16}\\\\x=4\cdot16\\\\\boxed{x=64}\\----------\\\\\dfrac{x}{4}=16\qquad\text{multiply both sides by 4}\\\\x=16\cdot4\\\\\boxed{x=64}$