Answer:
The equation of this line would be 4x + y = 13
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.
4x + y - 2 = 0
4x + y = 2
y = -4x + 2
The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.
y - y1 = m(x - x1)
y + 3 = -4(x - 4)
y + 3 = -4x + 16
4x + y + 3 = 16
4x + y = 13
Answer:
x = 9 (it is seriously not drawn to scale)
Step-by-step explanation:
BC = DC^2 + BD^2 (Pythagorean theorem)
BC = 4^2 + 6^2
BC = 16 + 36
BC = 52^2
BC = 2sqrt13
BC/AB = DC/BD
(2sqrt13)/AB = 4/6
6(2sqrt13) = 4(AB)
12sqrt13 = 4AB
3sqrt13 = AB
AC^2 = AB^2 + BC^2 (Pythagorean Theorem)
AC^2 = (3sqrt13)^2 + (2sqrt13)^2
AC^2 = 117 + 52
AC^2 = 169
AC = 13
AD + DC = AC
AD + 4= 13
AD = 9
Answer:
f(3) = 216
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) = 6ˣ
x = 3
<u>Step 2: Evaluate</u>
- Substitute: f(3) = 6³
- Exponents: f(3) = 216
Answer:
x
= −
10
y
Step-by-step explain
could you give me some more info?
Answer:
16
Step-by-step explanation:
We can see that Ar is the perpendicular bisector of chord BD. Since A is the center of the circle, AR is the radius of the circle, which is 10 (6+4)
Next, we can see that when we connect point A to point D, it is also a radius. Thus, AD is also equal to 10 as the radius of the circle remains the same.
Using Pythagoras theorem, a^2 + b^2 = c^2, we can make a right angled triangle of ACD.
AC = 6 = a
CD = ? = b
AD = 10 = c
10^2 = 6^2 + b^2
b^2 = 10^2 - 6^2 = 64
b = CD = 8
Now, since Ar is the perpendicular bisector of chord BD, BD = CD x 2
BD = 8 x 2 = <u>16</u>