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3 years ago

What is the slope of the line represented by the equation 4x+3y=12

Mathematics

1 answer:

Alika [10]3 years ago

3 0

To do this we need to rewrite the equation in terms of y
4y=12-3x
y=3-3x/4
Therefore the gradient is -3/4

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In this graph what is the slope of the line?

sashaice [31]

Answer:

The slope of the line is 10

Step-by-step explanation:

To find the slope, simply identify 2 points on the line. I chose: (1,10) and (2,20)

20-10=10

2-1=1

The slope of the line is 10

To check this answer, just multiply X with 10 and you will always get Y!

7 0

3 years ago

Moby sold half his toy car collection, and then bought 12 more cars the next day. He now has 48 toy cars. How many cars did he h

castortr0y [4]

Answer: 72 cars.

Step-by-step explanation:

Let be "x" the number of toys that Moby had to start with.

According to the information given in the exercise, Moby sold half his toy car collection. This can be represented with the following expression:

$\frac{1}{2}x$

Then he bought 12 more cars, giving a total amount of 48 toy cars.

Therefore, the equation that represents this situation is the equation shown below:

$x-\frac{1}{2}x+12=48$

Now you must solve for "x" in order to find its value.

You get that this is:

$\frac{1}{2}x+12=48\\\\\frac{1}{2}x=48-12\\\\\frac{1}{2}x=36\\\\x=(36)(2)\\\\x=72$

7 0

4 years ago

Find all solutions in the interval [0, 2π). tan x + sec x = 1

svp [43]

Use the identity
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x = 1 + tan^2x - 2 tan x
0 = -2 tanx

tan x = 0

x = 0, π
π is an extraneous root because sec 180 = -1
So the answer is 0 degrees

6 0

3 years ago

What is the value of x when y=10?

Margaret [11]

Answer:

x would be 1

Step-by-step explanation:

8 0

3 years ago

Serena drank nine and six tenths ounces of juice yesterday.Four and seventy-five hundreths ounces of the juice were apple juice.

kicyunya [14]

Serena drank 9.6 oz of juice. If 4.75 oz were apple juice, then she drank 9.6-4.75=4.85 oz of orange juice.

8 0

3 years ago