9514 1404 393
Answer:
a) x = -3
b) y = (28/27)x -27
Step-by-step explanation:
a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...
x = constant
For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...
x = -3
__
b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...
m = -1/(-27/28) = 28/27
Using the point-slope equation for a line, we can model Ace Rd as ...
y -y1 = m(x -x1)
y -1 = (28/27)(x -27)
y = (28/27)x -27
<span><span>y=−<span>x2</span>+2x−7</span><span>y=-<span>x2</span>+2x-7</span></span>Complete the square on the right side of the equation.Tap for more steps...<span><span>−<span><span>(x−1)</span>2</span>−6</span><span>-<span><span>(x-1)</span>2</span>-6</span></span>Reorder the right side of the equation to match the vertex form of a parabola.<span><span>y=−<span><span>(x−1)</span>2</span>−6</span><span>y=-<span><span>(x-1)</span>2</span>-6</span></span>Use the vertex form, <span><span>y=a<span><span>(x−h)</span>2</span>+k</span><span>y=a<span><span>(x-h)</span>2</span>+k</span></span>, to determine the values of <span>aa</span>, <span>hh</span>, and <span>kk</span>.<span><span>a=−1</span><span>a=-1</span></span><span><span>h=1</span><span>h=1</span></span><span><span>k=−6</span><span>k=-6</span></span>Find the vertex <span><span>(h,k)</span><span>(h,k)</span></span>.<span><span>(1,−6)</span><span>(1,-6)</span></span>
Answer:
(1,9), (2,11), (3,13) (4,15)
Step-by-step explanation:
When u plug in those numbers for your x values, you get those numbers for the y values.
Answer:
12
Step-by-step explanation:
negative times a negative equals a positive.
so, 6 times 2 is 12.
