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3 years ago

Write (-3,7), (2,4) in standard form

Mathematics

1 answer:

tester [92]3 years ago

3 0

Answer:

y - 4 = -3/5(x - 2)

y - 7 = -3/5(x - (-3))

Step-by-step explanation:

In this question, we have to write an equation in standard form with the given information.

Standard form: y - y1 = m(x - x1)

First, find the slope using m = y2-y1/x2-x1:

Plug in coordinates and solve:

4 - 7/2 -(-3)

-3/2+3

m = -3/5

Now we know what our "m" value is on the equation.

You can simply use one of the coordinates and plug the values into the equation to get it in standard form. In this case, we will use the (2, 4) coordinate.

y - 4 = -3/5(x - 2) <- This is one applicable answer.

Your other answer could be y - 7 = -3/5(x - (-3))

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A supermarket needs to display 64 boxes of detergent.

Amiraneli [1.4K]

All the listed combination of row and boxes are correct and can be chosen from.

From the question, we are asked to find the row arrangement of a stack of boxes. Let us take a look at each one of the aforelisted answers

x rows with 16 boxes in each row
8 rows with x boxes in each row
16 rows with x boxes in each row

Since we are told that the total number of boxes to be stacked is 64, then for the first arrangement, we can deduce that the "x" is going to be 4. This is because multiplying 4 by 16 gives 64. For the second row, using the same calculation, we find that "x" is 8. And that of the third gives our "x" to be 4 as well. We can then adjudge that;

4 rows with 16 boxes in each row
8 rows with 8 boxes in each row
16 rows with 8 boxes in each row

Bearing this in mind, we can see that each of the 3 answers fits into the requirements we are asked.

At least 3 rows, and at least 4 boxes in each row.

Hence, all of the options are correct.

To learn more about rows and columns, see here brainly.com/question/13196178

5 0

3 years ago

The picture shows the $63.90 three friends spent on dinner.

nydimaria [60]

Answer:

$21 . 30

Step-by-step explanation:

Money spent on dinner =$ 63.90

Money paid by each of the 3 friends = 63.90 ÷ 3 = $ 21.30

4 0

2 years ago

Read 2 more answers

Pls help me solve this

dusya [7]

I thinks that the answer is 9

7 0

2 years ago

Read 2 more answers

Please help me I am in desperate need!!1!!!

shusha [124]

First box should say “transformed two units left” or something like that

3 0

2 years ago

(1) -3x-4y+11z from-9y+6z-3x <br>(2) 3x⁴-4x³+7x-2 from 9-7x⁴+6x³-2x²-11x

romanna [79]

Answer:

1) 5y + 5z

2) 10x⁴ - 10x³ + 2x² + 18x - 11

Step-by-step explanation:

Given the subtraction of the following polynomial expressions:

In order to make it easier for us to perform the required mathematical operations, we must first rearrange the terms in the <em>subtrahend</em> by alphabetical order.

-3x - 4y + 11z

-3x - 9y + 6z ⇒ This is the <u><em>subtrahend</em></u>.

Now, we can finally perform the subtraction on both trinomials:

$\displaystyle\mathsf{\left \ \quad\:\:\:\:{-3x - 4y + 11z} \atop -\quad{\underline{-3x - 9y + 6z\:\:\underline}} \right.}$

In the <em>subtrahend</em>, the coefficients of x and y are both negative. Thus, performing the subtraction operations on these coefficients transforms their sign into positive.

$\displaystyle\mathsf{\left \ \quad\:\:\:\:{-3x - 4y + 11z} \atop -\quad{\underline{-3x - 9y + 6z\:\:\underline}}\right.} \\\qquad\sf {\qquad\:\:\:0x\:+\:5y\:+5z$

The difference is: 5y + 5z.

Similar to the how we arranged the given trinomials in Question 1, we must rearrange the given polynomials in descending degree of terms before subtracting like terms.

3x⁴- 4x³ + 7x - 2 ⇒ Already in descending order (degree).

9 - 7x⁴ + 6x³- 2x² - 11x ⇒ -7x⁴ + 6x³- 2x² - 11x + 9

In subtracting polynomials, we can only subtract <u>like terms</u>, which are terms that have the same variables and exponents.

$\displaystyle\mathsf{\left \ \quad\:\:{3x^4\:-4x^3\:+\:0x^2\:+\:7x\:-\:2} \atop -\quad{\underline{-7x^4\:+6x^3\:-2x^2\:-11x\:+\:9 \:\:\underline}}\right.}$

In the <u><em>minuend</em></u><em>, </em>I added the "0x²" to make it less-confusing for us to perform the subtraction operations.

The same rules apply in terms of coefficients with negative signs in the subtrahend, such as: -7x⁴, - 2x², and - 11x ⇒ their coefficients turn into positive when performing subtraction.

$\displaystyle\mathsf{\left \ \quad\:\:{3x^4\:-4x^3\:+\:0x^2\:+\:7x\:-\:2} \atop -\quad{\underline{-7x^4\:+6x^3\:-2x^2\:-11x\:+\:9 \:\:\underline}}\right.} \\\qquad\sf {\qquad\:\:10x^4-10x^3+2x^2+18x\:-11$

Therefore, the difference is: 10x⁴ - 10x³ + 2x² + 18x - 11.

6 0

3 years ago