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BlackZzzverrR [31]
3 years ago
13

Find the slope of a line given the following two points: (-1, 3) and (5,-2).

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

-5/6

Step-by-step explanation:

See picture

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A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At
Shtirlitz [24]

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

8 0
3 years ago
During a spring clearance sale, Sears advertise 1/4 off the list of Model II microwave ovens and an additional 1/5 off the sale
ozzi

Answer:

$ 75.

Step-by-step explanation:

From the information above,

List price of model II = $240

Sale price of the clearance sale is 1/4 off the list price of Model II microwave oven and additional 1/5 of the sale price for oven that are scratched and dented.

Therefore,

Let the sale price be X,

= (1/4)*(list price) + (1/5)*X

X = (1/4)*(240) + (1/5)*X

X = 60 + (1/5)X

Solving for X,

X - (1/5)X = 60

(4/5)X = 60

X = (60*5)/4

= $75.

4 0
2 years ago
HELP APPRECIATED PLEASEEE<br> WILL GIVE BRAINLIEST !!!
kakasveta [241]

Answer:

the first line

Step-by-step explanation:

because 1.75 is almost to the number 2

hope this helps

8 0
2 years ago
In ΔABC, which trigonometric ratio has the value a/c
valentinak56 [21]

Answer:

\tan A

Step-by-step explanation:

From the diagram, side length a is opposite to angle A and side length c is adjacent  to angle A.

Recall the mnemonics SOH CAH TOA.

We use TOA, because it involves opposite and adjacent.

\tan A=\frac{Opposite}{Adjacent}

\tan A=\frac{a}{c}

The correct choice is A.

7 0
3 years ago
Read 2 more answers
How do the points of a figure move in a translation?
SVETLANKA909090 [29]
The answer will be C
7 0
2 years ago
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