A theorem states that, given a circle with center C and a point P on the circumference, the tangent line through P and the radius CP are perpendicular.
So, the answer is 90 degrees.
The expression representing the perimeter is 6x + 39
x = 3. 8
<h3>What is the perimeter?</h3>
The formula for perimeter of a rectangle is given as;
Perimeter = 2 ( length + width)
From the image shown, we have that:
- length = 2x
- width = x + 13
Now, let's substitute the value
Perimeter = 2 ( 2x + x + 13)
collect like terms
Perimeter = 2 ( 3x + 13)
Expand the bracket
Perimeter = 6x + 39
If perimeter = 62
62 = 6x + 39
6x = 62 - 39
6x = 23
x = 23/ 6
x = 3. 8
Thus, the expression representing the perimeter is 6x + 39
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The equation of the line in standard form is 3x - 5y = 26
Step-by-step explanation:
Let us revise the forms of the linear equation
- The slope intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept
- The point-slope form is , where m is the slope of the line and is a point on the line
- The standard form is Ax + By = C, where A, B, and C are constant
- The general form is Ax + By + C = 0, where A, B, and C are integers
∵ The line passes through point (2 , -4)
∵ The slope of the line is
- Let us using the point-slope form and then change it to the
standard form
∵ = 2 and = -4
∵ m =
- Substitute these values in the form of the equation below
∵
∴
∴
Let us change it to standard form
- Multiply each side my 5 to cancel the denominator in the
right hand side
∴ 5(y) + 5(4) = 3(x - 2)
- Simplify the two sides
∴ 5y + 20 = 3x - 6
- Add 6 to both sides
∴ 5y + 26 = 3x
- Subtract 5y from both sides
∴ 26 = 3x - 5y
- Switch the two sides
∴ 3x - 5y = 26
The equation of the line in standard form is 3x - 5y = 26
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The square root for 18 is 4.242.... , not sure how you want it estimated
The answer is 10. 4-2= 2 then multiply by 5.