How many pages did Kyle read last summer?
Write the equation y - 3 = 4(x + 1) in standard form.
Write the equation y + 7 = -2(x - 3) in slope-intercept form.
The equation y - 5 = 3(x - 2)
is written in point-slope form. Write this equation in the
following ways:
a. slope-intercept form
b. standard form
So remember that slope-intercept form is y = mx+b (m = slope, b = y-intercept) and standard form is ax+by = c. (a and b are coefficients and c is the constant)
Starting with the first question: 9x + 2y = 6
Firstly, subtract 9x on both sides: 2y = -9x + 6
Next, divide both sides by 2, and your equation will be y = -4.5x + 3
Now with the next equation: y - 3 = 4(x + 1)
Firstly, foil 4(x + 1): y - 3 = 4x + 4
Next, subtract y on both sides: -3 = 4x - y + 4
Next, subtract 4 on both sides, and your answer will be: -7 = 4x - y
Next equation: y + 7 = -2(x - 3)
Firstly, foil -2(x - 3): y + 7 = -2x + 6
Next, subtract 7 on both sides of the equation, and your answer will be: y = -2x - 1
Next: y - 5 = 3(x - 2) (part a)
Firstly, foil 3(x - 2): y - 5 = 3x - 6
Next, add 5 on both sides, and your equation is: y = 3x - 1
Next, y - 5 = 3(x - 2) (part b)
Firstly, foil 3(x - 2): y - 5 = 3x - 6
Next, subtract y on both sides of the equations: -5 = 3x - y - 6
Next, add 6 on both sides of the equation, and your answer will be: 1 = 3x - y
In order to determine the number of plants needed for Jessica's garden, we would need to first calculate the area of the triangular garden and then multiply by 2 (since she wants 2 plants per square yard). Without specific dimensions of the garden, we can't provide a specific number.
The question is about calculating the number of plants Jessica needs for her right triangle garden. To solve this problem, we first need to know the dimensions of the garden to calculate its area. For a right triangle, the area is calculated as half of the product of the length and width (base and height). Let's assume the garden's dimensions are base b yards and height h yards. Thus, the area is 0.5*b*h square yards.
Given that Jessica wants 2 plants for each square yard, the number of plants she needs would be twice the area of the garden. So if the area is 'A', she will need 2*A plants. Without knowing the specific dimensions of the garden, this is the best estimates that we can provide.
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