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wlad13 [49]
3 years ago
14

(-44.85,5.3) and (4.85,3.5) what is the slope

Mathematics
2 answers:
Airida [17]3 years ago
4 0
Find the change in Y over the change in X

\frac{y2 - y1}{x2 - x1}
Grace [21]3 years ago
4 0

Answer:

The slope is 0.036 (to the nearest thousandth)

Step-by-step explanation:

We need to determine by how much both x and y change as we go from (-44.85,5.3) to (4.85,3.5).  It might help to write out what we have here:

       4.85

-   ( -44.85)

-----------------

       49.7  This is the increase in x. Note that adding 49.7 to the original                         -44.85 results in 4.85, as we expect.  Meanwhile, y decreases from 5.3 to 3.5, a decrease of 1.8.  Thus, the slope of the line passing thru (-44.85,5.3) and (4.85,3.5) is:

m = rise / run = -1.8 / 49.7 = 0.0362 (to the nearest 10 thousandth), or 0.036 (to the nearest thousandth), or 0.04 (to the nearest hundredth).

You might be interested in
6 4/11 x2 1/12 Estimate the product
Aleksandr-060686 [28]

Answer:

The estimated product is 12.

Step-by-step explanation:

When rounding fractions, we can round them to 0, 1/2 or 1. 6 4/11 can be rounded to 6 since 4/11 isn't near the half of 11. 2 1/12 can be rounded to 2 since 1/12 is obviously close to 0. 6 x 2 = 12. The estimated product is 12.

7 0
3 years ago
The sum of three consecutive integers is 267. What is the largest integer?
Stella [2.4K]

Answer:

let integers be x,2x, 3x respectively

x+2x+3x= 267

6x= 267

x=267/6= 44.5

2x= 44.5*2= 89

3x= 44.5*3= 133.5

largest integer = 133.5

hope it helps

plz mark as brainliest

5 0
3 years ago
help. If 20 men can survive for 24 days on 15 cans of rations, how many cans will be needed for 16 men to survive for 36 days?
Semmy [17]

Answer: 29 cans.

Step-by-step explanation:

20 can survive 24 days with 15 cans.

If X is the number of days that a man can survive with one can of rations.

so X is in the units can/day

then we have that:

24/15*X = 20

X = 20*15/24 = 12.5

This means that a man can live 12.5 days with a can of food.

then, for 16 men and 36 days we have:

(36/C)*12.5 = 16

C = (36/16)*12.5 = 28.1215

And we can not have a 0.1215 of a can, so we should round it up to 29 cans.

4 0
3 years ago
A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time can be represented by the quadr
SCORPION-xisa [38]

Answer:

The baseball reached 9 feet high above the ground

Step-by-step explanation:

The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀

Where;

t ≥ 0

g = -32 ft./sec²

v₀ = The initial velocity

p₀ = The initial position

Given that when the ball is thrown, we have;

The initial, straight up, velocity, v₀ = 16 ft./sec

The initial position, p₀ = 5 ft.

Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;

p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5

At the maximum point, the rate of change of the height with time = 0, therefore;

dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t

16 - 32·t = 0

16 = 32·t

t = 16/32 = 0.5 seconds

Therefore, the time takes to reach the maximum height = 0.5 seconds

The height (maximum) reached in 0.5 seconds is given as follows;

h(t) = 16·t - 16·t² + 5, from which we have;

h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9

Therefore, the height baseball reached = 9 ft. above ground

7 0
3 years ago
Solve the equation 2x²-x=0
Marta_Voda [28]
Factor

x(2x-1)=0

x = 1/2, 0
8 0
3 years ago
Read 2 more answers
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