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andreev551 [17]
3 years ago
12

What is the vertex, maximum or minimum, y-intercept, & roots of h(t)= -4.9t^2+14.7t

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0
Vertex; (1.5, 11.025)
maximum; 11.025
y-intercept; (0, 0)
roots; 0, 3

hope this helps, God bless!
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Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ < 360°.
PilotLPTM [1.2K]

Answer:

 the answer is B (5 square root 2, 315°), (-5 square root 2, 135°)

Step-by-step explanation:

1) Let A be the point (x, y) = (5, - 5)  

=> x = 5 and y = - 5  

r = √(x² + y²) = √(25 + 25) = √50 = ± 5√2  

tan Θ = - 5/5 = - 1  

=> Θ = (i) 315º or - 45º ; (ii) 135º or - 225  

Hence, the Polar Coordinates of A are (i) (5√2, 315º) (ii) (- 5√2, 135º)

3 0
3 years ago
(1.)
Nadusha1986 [10]
1. x= -13 x=13
2. (-5,-3)
3. x=-6 x=6
4. x=-5/6 x=5/6
6 0
4 years ago
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Fourteen percent of the town’s population is over the age of 65. If there are 320 residents over the age of 65, approximately wh
Klio2033 [76]

Answer:

2286

Step-by-step explanation:

320 \div 1\% = 2286

8 0
2 years ago
OK this is another question which I need help on please please help if you can. CAUSED ME MUCH DISTRESS
r-ruslan [8.4K]

Answer:

15 = 2x - 3y

Step-by-step explanation:

We have the two points P1(3,-3) and P2(9,1).

First, calculate the slope between those points:

slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{9 - 3} = \frac{4}{6} = \frac{2}{3}

Now simply move 3 steps from (3,-3) towards the y-axis to get the intersection with the y-axis (each step reduces x by 1 and applies the slope to the y-value):

(3,-3)

---> (2, -3 - (2/3)) = (2,-3 2/3)

---> (1, (-3 2/3) - 2/3) = (1, -4 1/3)

---> (0, (-4 1/3) - 2/3) = (0,-5)

This tells us, that our line intersects the y-axis at (0,-5).

The general form of a line is f(x) = <SLOPE> * x + <Y-VALUEATXEQUALSZERO>.

In our case: f(x) = y = (2/3)x -5.

To get it into the correct form, we simply subtract y from both sides and get:

0 = (2/3)x - y - 5

To get only integers just multiply everything with 3 and add 15 and get:

15 = 2x - 3y, which fulfils the form asked for in the problem.

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What is 378 times by 9
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The answer for 378 x 9 = 3402
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