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djverab [1.8K]
3 years ago
12

on comparing the ratios a1/a2 b1/b2 and c1/c2 find out whether the pair of linear equations 2x -3y=8 and 4x-6y =9 are consistent

or inconsistent​
Mathematics
1 answer:
andre [41]3 years ago
6 0

Answer:

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18  =1/2

​⇒  b1/b2=  3/6 =  1/2

⇒  c1/c2=  12/24=  1/2

comparing

⇒  a1/a2,b1/b2,c1/c2  

⇒  a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Step-by-step explanation:

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Find the values of x (there are two) when the ratio of the area of the shaded portion of the figure to the total area of the fig
Arada [10]

The values of x are x = -0.77 and x = 3.27

<h3>How to determine the value of x?</h3>

To calculate the value of x. we start by using the following equivalent ratio

2x : (3.5 + x + 1.5) = x + 0.5 : x + 1.5

Evaluate the like terms

2x : (5 + x) = x + 0.5 : x + 1.5

Express the ratio as a fraction

2x/5 + x = x + 0.5/x + 1.5

Cross multiply

2x(x + 1.5) = (5 + x)(x + 0.5)

Open the brackets

2x^2 + 3x = 5x + 2.5 + x^2 + 0.5x

Evaluate the like terms

x^2 - 2.5x - 2.5 = 0

Using a graphing calculator, we have

x = -0.77 and x = 3.27

Hence, the values of x are x = -0.77 and x = 3.27

Read more about triangles at:

brainly.com/question/17335144

#SPJ1

6 0
1 year ago
Frank decided to keep track of his sleep using a fitness tracker. He was surprised to
Andreyy89

Answer: 5%

Step-by-step explanation:

First and foremost, we need to know that 60 minutes = 1 hour. Therefore,

7 hours = 60 × 7 = 420 minutes.

Number of minutes awake = 21 minutes

Number of minutes supposed to be asleep = 7 hours = 420 minutes

The percentage of the seven hours that Frank was awake during the night will be:

= 21/420 × 100

= 1/20 × 100.

= 5%

6 0
3 years ago
When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely a
djverab [1.8K]

The intercept with the y-axes occurs when x = 0

f(0) = 2*02 + 35*0 + 75 = 0 + 0 + 75 = 75

So intercept with x axes is the point (0,75)

The intercept with the x-axes occurs when y=0

2x2 + 35x + 75 = 0

<span>As there’s no direct way to find x, we can use the <span>Bhaskara formula:</span></span>

x=(-b+- square root (b2-4ac))/(2a)

This formula is for: ax2 +bx + c = 0

So:

a=2

b=35

c=75

x=(-35+- square root (35^2-4*2*75))/(2*2)

So x can be -2.5 or -15

So intercept with y axes are the points (-2.5,0) and (-15,0)

And there is also a formula to find the mínimum. The mínimum is always the vertex:

Xv = -b/(2*a) = -35/(2*2) = -8.75

Yv = f(Xv) = f(-8.75) = 2(-8.75)^2 + 35(-8.75) <span> + 75 = </span>-78.125

So the minimum is the point (-8.75, -78.125)

You can easily verify all these data with a graphic software such as GeoGebra.

Here is the complete list of all the points we need to see:

(0,75); (-2.5,0) ; (-15,0), (-8.75, -78.125)

So the mínimum X has to be -15 and the máximum X has to be 0

and the mínimum Y has to be -78.125 and the máximum Y has to be 75

So this leads to a different scale for X and for Y.


Window x = [ -15, 0] y = [ -78.125, 75]
5 0
3 years ago
Plzz help me with thsi quistion
Salsk061 [2.6K]

Answer:

98 ft

Step-by-step explanation:

14x7

=98 ft

8 0
2 years ago
Read 2 more answers
100 POINTS!! Express in radical form.
Vilka [71]

Answer:

27   4th root (x^3)

Step-by-step explanation:

(81x) ^ 3/4

We know (ab) ^c = a^c b^c

81 ^ (3/4)  * x^3/4

We can rewrite 81 as 3^4

(3^4)^(3/4)  * x^3/4

We know that a^b^c = a^ (b*c)

3^(4*3/4)  * x^3/4

3^(3) * x^3/4

27  * x^3/4

27   4th root (x^3)

3 0
2 years ago
Read 2 more answers
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