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3 years ago

A line passeses through the ponts (2, a) and (4a,5) and has a slope of 1/2 find the value of a

Mathematics

2 answers:

77julia77 [94]3 years ago

8 0

Answer:

a=2

Step-by-step explanation:

Slope is found by (y2-y1)/(x2-x1)

Using the points, that is (5-a)/(4a-2) = 1/2

multiply both sides by the denominator 4a-2

5-a = (1/2)(4a-2)

5-a=2a-1

put like terms on opposite sides by adding a to both sides so a terms on the right, adding 1 on both sides so numbers are on the left

6=3a

divide both sides by 3

a=2

please give thanks :)

ioda3 years ago

6 0

Answer:

mmmmmmmmmmmmmmmmmmmmmmmmmmmmmm,,,,,,,,,

Step-by-step explanation:

mmmmmmmmmmm,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

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Write the equation of the line through the points (-6, -19) and (2, 5).

Lelechka [254]

Answer:

y = 3x - 1

Step-by-step explanation:

The slope of a line passing through the two points

P = (x1. y1) and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= -6, y1= -19, x2= 2, y2= 5

m=3

Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).

b= -19-(3)(-6)

b= -1

y = 3x - 1

5 0

1 year ago

A bag contains two coins, one for which the probability of heads is equal to 1 and one for which the probability of heads is equ

wlad13 [49]

Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)

Step-by-step explanation:

P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)

= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)

therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))

= 1 / (1 + p³)

Also P( second coin given 3 heads) = p³ /(1 + p³)

therefore P(4th toss in heads given first 3 are heads) will be;

= P(first and 4th toss heads) + P(second and 4th toss heads)

=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p

= (1 + p⁴) / (1 + p³)

Therefore Option E is the correct answer

5 0

3 years ago

At practice, Tom does three times as many push-ups as Justin, and also 50 jumping jacks. He does 72 exercises in

Sunny_sXe [5.5K]

X= 7 1/3
Explanation- Take 72 and subtract 50 from that giving you 22. Then take 22 and divide it by 3 to get 7.3333333333333 (repeats) or 7 1/3

8 0

3 years ago

A gourmet pizza café sells three sizes of pizza: small, medium and large. To buy all three sizes, it costs a total of 46.95. If

sveta [45]

Answer:

its gowing to be eleven dollars an 46 sent11.46

6 0

2 years ago

The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-

alekssr [168]

Answer:

The current that produces maximum power is 3A

Step-by-step explanation:

Given

$P(c) = 20(c - 3)^2$

Required [Missing from the question]

The current that produces maximum power

First, we represent the function in standard form

$P(c) = 20(c - 3)^2$

$P(c) = 20(c - 3)(c - 3)$

Open bracket

$P(c) = 20(c^2 -6c+ 9)$

$P(c) = 20c^2 -120c+ 180$

The maximum value of c is:

$Max(c) = \frac{-b}{2a}$

Where:

$f(x) = ax^2 + b^2 + c$

By comparison: $P(c) = 20c^2 -120c+ 180$

$a = 20$

$b = -120$

$c = 180$

So, we have:

$Max(c) = \frac{-b}{2a}$

$Max(c) = \frac{-(-120)}{2 * 20}$

$Max(c) = \frac{120}{40}$

$Max(c) = 3$

5 0

2 years ago