Slope is 5
Step-by-step explanation:
- Step 1: The equation of the line is y - 3 = 5(x - 2). Find the slope.
y - 3 = 5x - 10
Slope intercept form is y = mx + b, where m is the slope.
y = 5x - 10 + 3
y = 5x - 7
m = 5
Total Area: T.A.=2*Ab+Al
Area of the base: Ab=p*K
Semi-perimeter of the base: p
p=P/2
Perimeter of the base: P=20
p=P/2=20/2→p=10
Ab=p*k=10*K→Ab=10K
Lateral Area of the prism: Al
Al=P*h
Height of the prism: h=6
Al=P*h=20*6→
Al=120
T.A.=2*Ab+Al
T.A.=2*(10K)+120
T.A.=20K+120
T.A.=120+20K
Answer: (120+20K)
Answer:
60 tiles.
Step-by-step explanation:
$15.00 per tile plus a flat fee of $378.00 that charges Tile All.
Therefore, for x number of tiles, the total cost of installation will be
C = 378 + 15x ........... (1)
Again, $14.50 per tiles plus a flat fee of $550.00 that charges Kitchen Plus. Amanda has at Kitchen Plus, a 10% discount coupon.
Therefore, for x tiles installation the charges will be
.......... (2) (Answer)
Now, if for x number of tiles both the company charges the same, then
378 + 15x = 495 + 13.05x (From equations (1) and (2)}
⇒ 1.95x = 117
⇒ x = 60 tiles. (Answer)
Speed of the jet = 460/2 miles/hour = 230 miles/hour.
In 9 hours, the jet can fly = 9×230 miles = 2070 miles.
Answer:
Step-by-step explanation:
Your "y=2xsquared-12x+10" translates into y = 2x^2 - 12x + 10. This factors into y = 2(x^2 - 6x + 5).
Setting this = to 0 results in y = 2(x - 5)(x - 1) = 0, so that the x-intercepts are (5, 0) and (1, 0). The x-coordinate of the vertex lies halfway between x = 1 and x = 5, that is, at x = 3. Using synthetic division to evaluate y = 2x^2 - 12x + 10 at x = 3, we get
3 2 -12 10
6 -18
------------------
2 -6 -8
Therefore, the vertex is located at (3, -8).
Setting x = 0 results in the y-intercept: y = 2(0)^2 - 12(0) + 10 => (0, 10)
