All categories

3 years ago

When 6x² - 4x+3 is subtracted from 3x²–2x+3, the result is

1 answer:

4 0

Let's subtract then: 3x2 - 2x + 3 - (6x2 - 4x + 3)

taking out of the bracket with a changed sign: (there is a minus in front of the bracket)

3x2 - 2x + 3 - 6x2 + 4x - 3
let's reshuffle them so that similar terms are together:
3x2 - 6x2 - 2x + 4x + 3 - 3

Adding up similar terms:

-3x2 + 2x - that's our option 2!

You might be interested in

I NEED HELP PLEASE HELP ME

spin [16.1K]

Answer:

4/25

Step-by-step explanation:

8/10 = 4/5

2/10 = 1/5

We can multiply these 2 events because they do not depend on each other.

1/5* 4/5 = 4/25

4 0

3 years ago

Least to greatest 0.7 8/9 .97 2/3 3/5

Setler [38]

Answer:

3/5 2/3 0.7 8/7 .97

Step-by-step explanation:

3/5 =.6

2/3 = .66667

0.7 = .7

8/7 = .88889

.97 = .97

Converted in to decimal point that should be it from least to greatest

5 0

3 years ago

Ella is making 3 batches of banana milkshakes. She needs

AlexFokin [52]

21 times because you need 7/4=1 gallon and 3/4 just for one and 7x3 =21 so need 21/4

3 0

3 years ago

Lesson 4.10 - Analytic Geometry

Nadusha1986 [10]

Geometric shapes are mathematical shapes that include squares and triangles

<h3>How to prove the shape is a square</h3>

The side lengths of a square are congruent, and the adjacent sides are perpendicular.

So, we start by calculating the side lengths using the following distance formula

$d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}$

Using the above formula, we have:

$AB = \sqrt{(3-2)^2 + (4+2)^2} = \sqrt{37$

$BC = \sqrt{(2+4)^2 + (-2+1)^2} = \sqrt{37$

$CD = \sqrt{(-4+3)^2 + (-1-5)^2} = \sqrt{37}$

$DA = \sqrt{(-3-3)^2 + (5-4)^2} = \sqrt{37}$

The above shows that the side lengths of the square are congruent.

Next, calculate the slope of the sides using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{AB} = \frac{4 +2}{3 -2} = 6$

$m_{BC} = \frac{-2 + 1}{2+4} = -\frac 16$

$m_{CD} = \frac{-1 -5}{-4+3} = 6$

$m_{DA} = \frac{5 -4}{-3-3} = -\frac 16$

Notice that the opposite slopes are congruent, and the adjacent slopes are opposite reciprocal.

The above highlight, and the equal side lengths show that the figure (1) is a square

<h3>How to prove the shape is a right isosceles triangle</h3>

The legs of a right isosceles triangle are congruent, and the legs are perpendicular.

So, we start by calculating the lengths of the legs using the following distance formula

$d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}$

Using the above formula, we have:

$XY = \sqrt{(5-4)^2 + (-1-4)^2} = \sqrt{26$

$XZ = \sqrt{(5-0)^2 + (-1+2)^2} = \sqrt{26$

The above shows that the legs of the right isosceles triangle are congruent.

Next, calculate the slope of the legs using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{XY} = \frac{5-4}{-1 -4} = -\frac{1}{5}$

$m_{XZ} = \frac{5-0}{-1+2} = 5$

Notice that the slopes are opposite reciprocal.

The above highlight, and the equal legs show that the figure (2) is a right isosceles triangle

Read more about geometric shapes at:

brainly.com/question/14285697

7 0

3 years ago

Carlos snuck into Mr. Saleeba's classroom one morning and ate half of Mr. Saleeba's donuts. Carlos then decided he was still hun

RUDIKE [14]

If Carlos eat half of the donuts and there was 6 left then do 6×2 and add one because he decided to eat one more donut.

Mr. Saleeba had 13 donuts

5 0

4 years ago

Read 2 more answers