Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation
2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13
so the solution is (-17/13, 38/13)
Answer:
C
Step-by-step explanation:
Perpendicular lines have the exact opposite slope of the other equation.
So the slope will be x or 1x. Plug in
-8 = 1(4) + b (b represents y-intercept) like y=mx+b
-8 = 4 + b (subtract 4 on both sides)
-12 = b
The equation is y = x - 12
C
solve
y + 8 = x - 4 (subtract 8 on both sides)
y = x - 12
There are 6 identical and symmetrical shapes if colors are ignored.
Because color is taken into account, each shape (with a distinct color) can be rotated into itself about the center of the figure through an angle of 360°.
Answer:
The shape has rotational symmetry.
The angle of rotation, taking color into account, is 360°.
Step 1: Circle the place value of the digit to be rounded. This is the rounding digit. Step 2: Look to the neighboring digit on the right. Step 3: a) If the neighboring digit is less than five (0 - 4), keep the rounding digit the same.
Answer:
The standard form of the equation of the circle is 
.
Step-by-step explanation:
A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form is
where <em>r</em> is the radius of the circle, and <em>h</em>, <em>k</em> are the coordinates of its center.
When the center of the circle coincides with the origin 
, so
We are also told that the circle contains the point (0, 1), so we will use that information to find the radius <em>r</em>.
Therefore, the standard form of the equation of the circle is .
