Answer:
∠A= 80°
Step-by-step explanation:
if they are supplementary then put them equal to 180
7x + 3 +7x + 23 = 180
14x + 26 = 180
14x = 154
x= 11
now plug in
7(11)+3
77+3= 80
Answer:
2x+6y=-4
Step-by-step explanation:
The slope of line q is that of line p scaled by a factor of 3 (not -3). The y-intercept of line q is 6 less than the y-intercept of line p. The appropriate choice is
D. y = 3ax +b -6
Answer:
The endpoints of the latus rectum are
and
.
Step-by-step explanation:
A parabola with vertex at point
and whose axis of symmetry is parallel to the y-axis is defined by the following formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- Distance from vertex to the focus.
,
- Coordinates of the vertex.
The coordinates of the focus are represented by:
(2)
The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that
,
and
, then the latus rectum is between the following endpoints:
By (2):


By (1):



There are two solutions:




Hence, the endpoints of the latus rectum are
and
.
You question isn't clear, but I assume that you are asking for the slop of a line parallel to y=-(5/4)(x)+7.
The line parallel would have a slop of -5/7 and the line perpendicular would have a slop of 5/7.
The difference between the two answers is the sign of the two slopes, one is positive the other is negative