Answer:
What is the point used in the equation of the line y+4=1/2(x-2)
The other format for straight-line equations is called the "point-slope" form. For this one, they give you a point (x1, y1) and a slope m, and have you plug it into this formula:
y - y1 = m(x - x1)
Don't let the subscripts scare you. They are just intended to indicate the point they give you. You have the generic "x" and generic "y" that are always in your equation, and then you have the specific x and y from the point they gave you; the specific x and y are what is subscripted in the formula. Here's how you use the point-slope formula
They've given me m = 4, x1 = -1, and y1 = -6. I'll plug these values into the point-slope form, and solve for "y=":
y - y1 = m(x - x1)
y - (-6) = (4)(x - (-1))
y + 6 = 4(x + 1)
y + 6 = 4x + 4
y = 4x + 4 - 6
y = 4x - 2
Sin 2θ = sin θ
2sin θ cos θ = sin θ
2cos θ = 1
cos θ = 1/2
θ = arccos(1/2) = 60° and 300°
θ = 60° and 300°
The value of x is 28 millimeters in the composite figure of two right-angled triangles lying next to each other
<h3>What is a composite figure?</h3>
A composite figure is a figure that is produced from the combination of two geometric shapes together.
The diagrammatic expression of a composite figure consists of two right-angled triangles lying next to each other can be seen in the image attached below.
For the left-side right-angled triangle, we have:
13² = h² + 5²
h² = 13² - 5²
h = √(169-25)
h = 12
Recall from the diagram that:
h² = pq
∴
12² = 5x
x = 144/5
x ≅ 28 millimeters
Learn more about composite figures here:
brainly.com/question/15981553
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