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Alekssandra [29.7K]
3 years ago
14

Find the slope of the line containing the points (4, -7) and (6,-8).

Mathematics
1 answer:
masha68 [24]3 years ago
6 0
-1/2 ans. Hope it helps..
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Help me please :3 thank u
Naya [18.7K]

1 because with the term just being x^3, the coefficient that goes with just an x is always 1.

7 0
3 years ago
2 is 10 times 0.02. true or false
wlad13 [49]
False: 10 • 0.02=
when anything is multiplied by two, move a decimal once to the right~ if it is a whole number, add a zero.
0.02-> move one decimal to the right= 0.2
Therefore, 2 is not equal to 10 • 0.02
10 • 0.02= 0.2
BUT 10 • 0.2= 2
8 0
3 years ago
Read 2 more answers
Can someone please help me with this problem? An explanation would be great, but it can be short. Thank you!!
ss7ja [257]

We are given two points: (4, -8) and (8, 5)

General equation of a line: y = mx + c

First find m (the gradient). There is a formula for this: (change in y)/(change in x) = gradient

(5 - -8) / (8 - 4) = (13) / (4) = 3.25 = m

y = 3.25x + c

Now we need to find c (the y-intercept; the value of y when x=0).

Substitute in any one of the coordinates - let's use (8, 5)

(5) = 3.25(8) + c

(5) = 26 + c

c = -21

The equation of the line: y = 3.25x - 21


I think that this answer is correct - sorry if it seems rushed.

Hope this answer helps :)

7 0
3 years ago
Which of the following is a square root of 3(cos(4pi/9)+i sin(4pi/9))
Margaret [11]

Answer:

— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.

Step-by-step explanation:

6 0
3 years ago
Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig
Vadim26 [7]

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

h=-16t^2+18t+5

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

v = \frac{dh}{dt} = -32t + 18

Therefore, when v = 0:

0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs

It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft

Therefore, her maximum height is 10.06 ft.

3 0
3 years ago
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