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Alecsey [184]
2 years ago
6

Given that 3x-6y=11 find y when x=-4 give your awnser as an improper fraction

Mathematics
2 answers:
Debora [2.8K]2 years ago
8 0

Answer:

y = -23/6

Step-by-step explanation:

1. Substitute x.

3 x -4-6y = 11

-12-6y=11

2. Solve

-12-6y=11

+12     +12

-6y= 23

y= -23/6

andreev551 [17]2 years ago
4 0

Step-by-step explanation:

-12-6y=11

-6y=23

6y=-23

y=-23:6

y=3.8

(if I remember this correctly)

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What is the value of x + y?​
Veseljchak [2.6K]

Answer:

55°

Step-by-step explanation:

180°-70°=110° (sum of angles on a straight line gives 180°

The size of each of the four remaining angles=110°/4 = 27.5°

<X + <Y = 27.5° + 27.5°=55°

7 0
2 years ago
Q.2
Katen [24]

Answer:

Q2. (16,8)

Q3. k=\frac{2}{3}, ratio=5:1

Q4. Ratio=2:1

Q5. Ratio=1:1

Step-by-step explanation:

Q2. Let (2a,a) be the coordinates of P.

Since P is equidistant  from Q (2,-5) and R (-3, 6), we have

|PQ|=|PR|

This gives us:

\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}

\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2

Expand:

4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36

2a=16

a=8

The coordinates of P are (16,8)

Q.3  The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is x+3y=-13.

The x-coordinate of the point that divides AB in the ratio m:n is

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

The y-axis meets this line at (0,-\frac{13}{3})

We substitute x_2=-1,x_1=5,x=0 into this equation and solve for m and n.

0=\frac{-m+5n}{m+n}

m=5n

\frac{m}{n}=\frac{5}{1}

Therefore the ratio is m:n=5:1

Q.4 The equation of the line segment joining

the points (-5,-4) and (-2,3) is -7x+3y=23.

The point (-3, k) must satisfy this line because it lies on it.

-7(-3)+3k=23.

\implies k=\frac{2}{3}

We again use the equation x=\frac{mx_2+nx_1}{m+n} to find the given ratio.

Substitute: x_2=-2,x_1=-5

4=\frac{-2m+-5n}{m+n}

\implies m=2n

\frac{m}{n}= \frac{2}{1}

The ratio is m:n=2:1

Q. 5 The equation of the line joining A (2,3) and B(6,-3) is 3x+2y=12.

We substitute (4,m) to get:

12+4m=12

4m=0

m=0

It is obvious that: (4,0) is the midpoint of A(2,3) and B(6,-3).

Hence the ratio is 1:1

5 0
3 years ago
What is the probability annie does not choose a girl who is a junior
ICE Princess25 [194]
A every every low chance 

8 0
3 years ago
Read 2 more answers
Find the number of palindromes between 10,000 and 99,999 that are divisible by 25
Cerrena [4.2K]

<u><em>20</em> palindromes exist that qualify this criteria rigorously</u>

Examples:

52025, 52125, 52225, 52325, 52425, 52525, 52625, 52725, 52825, 57975 etc.

3 0
2 years ago
Natalie paid $14.99 to join an online music service. If she purchases 9 songs each month at a cost of $0.99 per song, what will
ycow [4]

Answer:

Natalie Spent $59.54 on songs after 5 months at online music service.

Step-by-step explanation:

Total membership cost =$14.99

Number of songs purchased in each month = 9

Cost per song = $0.99

We need to find total amount she had spent after 5 months.

Solution:-

So First we will Number of songs purchased in 5 months.

1 month = 9 songs

So in 5 months = Songs purchased in 5 months.

By Using Unitary method we get;

Songs purchased in 5 months =  

Now Also Given:

1 song = $0.99

45 songs = Cost for 45 songs.

Again by using Unitary method we get;

Cost for 45 songs =  

No Total Amount Natalie spent after 5 months is equal to Total membership cost plus Cost of songs purchased in 5 months.

framing in equation form we get;

Total Amount Natalie spent =  

Hence Natalie Spent $59.54 on songs after 5 months at online music service.

5 0
2 years ago
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