Answer:
C
Step-by-step explanation:
The center of inscribed circle into triangle is point of intersection of all interior angles of triangle.
The center of circumscribed circle over triabgle is point of intersection of perpendicular bisectors to the sides.
Circumscribed circle always passes through the vertices of the triangle.
Inscribed circle is always tangent to the triangle's sides.
In your case angles' bisectors and perpendicular bisectors intesect at one point, so point A is the center of inscribed circle and the center of corcumsribed circle. Thus, these circles pass through the points X, Y, Z and G, E, F, respectively.
The equation of line perpendicular to given line through (-6,7) is:

Further explanation:
Given equation of line is:

The co-efficient of x is the slope of given line.
Let m1 be the slope of given line
and
m2 be the slope of line perpendicular to given line
Then

Product of slopes of perpendicular lines is -1

The equation of new line can be written as:

Putting m2

To find the value of b, we will put (-6,7) in equation

Putting the values of b and m in general equation

Keywords: Slope, Point-slope form, perpendicular lines
Learn more about perpendicular lines at:
#LearnwithBrainly
Answer: x=7/5 or 1 2/5
Step-by-step explanation:
Given
x+3/5=2
Subtract 3/5 on both sides
x+3/5-3/5=2-3/5
x=10/5-3/5 (This is to convert 2, as a integer, to a fraction in order to ease the
x=7/5 operation)
the possible solutions of this equation. Is that they are not real.
Answer:
f(-3) = 41
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -12x + 5
f(-3) is x = -3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(-3) = -12(-3) + 5
- Multiply: f(-3) = 36 + 5
- Add: f(-3) = 41