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3 years ago

If the set of values represent points on a line, what is the value of a?

Mathematics

1 answer:

goldenfox [79]3 years ago

6 0

Answer:

a = 7

Step-by-step explanation:

Equation of line : y = mx + b

m = slope

Plug in coordinates:

Slope = Change in y/Change in X

Slope = 13-4/5-2 = 9/3 = 3

Plug in coordinates:

y - intercept = b

13 = 5(3) + b

13 = 15 + b

b = -2

Equation: y = 3x - 2

Input 3 for x

y = 3x - 2

y = 9 - 2

y = 7

-Chetan K

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Given the points P(2,-1) and Q(-9,-6), what are the coordinates of the point on directed line segment PQ that partitions PQ in t

gayaneshka [121]

ANSWER

$( - \frac{23}{5} , - 4)$

EXPLANATION

Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by

$x = \frac{ mx_2+nx_1}{m + n}$

$y= \frac{ my_2+ny_1}{m + n}$

Where m=3 and n=2

$x = \frac{ 3 ( - 9)+2(2)}{3+ 2}$

$x = \frac{ - 23}{5}$

$y= \frac{ 3( - 6)+2( - 1)}{3 + 2}$

$y= \frac{ - 20}{5} = - 4$

The point is

$( - \frac{23}{5} , - 4)$

4 0

3 years ago

vaieri [72.5K]

Y=3x+3. Y-intercept= (0,3)

5 0

3 years ago

The length of the diagonal of a rectangle is 11 cm more than the width and the width is 3 cm less than the length. If the area i

11Alexandr11 [23.1K]

Answer:

33cm

Step-by-step explanation:

area of a rectangle= length ×width

Let x be the length

990=x( x-3)

990=x^2-3x

x^2-3x-990=0

x^2+30x-33x-990=0

x(x+30)-33(x+30)=0

(x-33)(x+30)=0

x=33, x=-30

length is positive so it'll be 33cm

3 0

3 years ago

Daniel reads dor 8 times as many as April. Daniel read 44 minutes this week. How many minutes does April read?

ELEN [110]

44 [minutes] * 8 [times as many as April] = 352 [minutes in April]

5 0

3 years ago

Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60. Let represent the number of quarters and

Aneli [31]

Note: Consider we need to find each type of coins he has.

Given:

Erin has quarters and nickels for a total of 16 coins.

The value of his coins is $2.60.

To find:

The number of each type of coins.

Solution:

Let x represent the number of quarters and y represent the number of nickels.

According to the question,

Total coins : $x+y=16$ ...(i)

Total value : $0.25x+0.05y=2.60$ ...(ii)

Multiply equation (i) by 0.25 and subtract the result from (ii).

$0.25x+0.05y-0.25(x+y)=2.60-0.25(16)$

$0.25x+0.05y-0.25x-0.25y=2.60-4$

$-0.20y=-1.40$

Divide both sides by -0.20.

$y=7$

Put y=7 in (i).

$x+7=16$

$x=16-7$

$x=9$

Therefore, the number of quarters is 9 and number of nickels is 7.

6 0

3 years ago