Answer:
y = x - 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 1, thus
y = x + c ← is the partial equation of the line
To find c substitute (14, 0) into the partial equation
0 = 14 + c ⇒ c = 0 - 14 = - 14
y = x - 14 ← equation in slope- intercept form
15 & 27 would be the correct pair
A triangle is 180°, so the 3 angles should add up to 180°.
To find m∠R, you can do this:
m∠S + m∠R + m∠T = 180°
56° + m∠R + 30° = 180°
m∠R + 86° = 180° Subtract 56 and 30 on both sides
m∠R = 94°
Answer:
Step-by-step explanation:
-16x^2 + 24x + 16 = 0.
A. Divide by 8:
-2x^2 + 3x + 2 = 0, A*C = -2*2 = -4 = -1 * 4. Sum = -1 + 4 = 3 = B, -2x^2 + (-x+4x) + 2 = 0,
(-2x^2-x) + (4x+2) = 0,
-x(2x+1) + 2(2x+1) = 0,
(2x+1)(-x+2) = 0, 2x+1 = 0, X = -1/2. -x+2 = 0, X = 2.
X-intercepts: (-1/2,0), (2,0).
B. Since the coefficient of x^2 is negative, the parabola opens downward. Therefore, the vertex is a maximum.
Locate the vertex: h = Xv = -B/2A = -24/-32 = 3/4, Plug 3/4 into the given Eq to find k(Yv). K = -16(3/4)^2 + 16(3/4) + 16 = 19. V(h,k) = V(3/4,19).
C. Choose 3 points above and below the vertex for graphing. Include the points calculated in part A which shows where the graph crosses the x-axis.
