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3 years ago

12. Write an equation in standard form of a line whose intercepts are fractions.

Mathematics

1 answer:

dolphi86 [110]3 years ago

8 0

Answer:

see the explanation in the procedure

Step-by-step explanation:

we know that

The equation of a line in standard form is

$Ax+By=C$

where

A is a positive integer

B and C are integers

Find the intercepts

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$By=C$

$y=\frac{C}{B}$

In order for C/B to be a fraction, C must not be a multiple of B

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$Ax=C$

$x=\frac{C}{A}$

In order for C/A to be a fraction, C must not be a multiple of A

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5th-6th grade math ^-^

mars1129 [50]

Answer:

Step-by-step explanation:

When you find the sum of 3 and 5 you get 8, which represents the total number of vehicles used in the trucks to cars ratio.

This means that the ratio of cars to total vehicles in this ratio is 5 to 8. Because there are 24 vehicles in the parking lot, and 8 × 3 = 24, you can multiply the entire ratio by three to get your answer:

5 to 8 ⇒ 15 to 24

Therefore, the number of cars in the parking lot is 15.

7 0

3 years ago

Read 2 more answers

Please solve this and only answer with image

horsena [70]

$\cot^4 A - \cot^2 A = 1\\\\\cot^4 A = 1 + \cot^2 A\\\\\frac{\cos^4 A}{\sin^4 A} = 1 + \frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A}{\sin^2 A}+\frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A+\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{1}{\sin^2 A}\\\\\cos^4 A = \frac{\sin^4 A}{\sin^2 A}\\\\\cos^4 A = \sin^2 A\\\\$

This then means,

$\cos^4 A + \cos^2 A = 1\\\\\sin^2 A + \cos^2 A = 1\\\\$

which is the pythagorean trig identity. This concludes the proof.

Therefore, if $\cot^4 A - \cot^2 A = 1$ , then $\cos^4 A + \cos^2 A = 1$

5 0

3 years ago

The ratio of dogs to cats in the neighborhood was 2 to 3. If there were 30 dogs in the neighborhood, how many cats were there?

jasenka [17]

Answer: 45 cats

Step-by-step explanation: since you got 30 dogs. 2x15= 30 so to get the number of cats do 3x 15= 45cats

4 0

3 years ago

3. Emma said that when you multiply three negative decimals , the product will be positive . Use these numbers to answer the que

mina [271]

Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

When two numbers of different signals are multiplied, the result is negative.
When two numbers have the same signal, the result is positive.

Part A:

Three numbers are multiplied, all negative.
The multiplication of the first two result in a positive number.
Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.

Two examples are:

$-2.5(-3.8)(-2) = 9.5(-2) = -19$

$-2.5(-2)(-0.7) = 5(-0.7) = -3.5$

Part B:

The rule is that the result is always negative.

Part C:

The multiplication of the first two negative numbers result in a positive number.
Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.

Two examples are:

$-2.5(-3.8)(2) = 9.5(2) = 19$

$-2.5(-2)(0.7) = 5(0.7) = 3.5$

A similar problem is given at brainly.com/question/24764960

5 0

3 years ago

If the end points of the diameter of a circle at (8,6) and (2,0), what is the standard form equation of the circle

pychu [463]

The answer is... y=x-2
have a great day!!!

8 0

4 years ago