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3 years ago

Three triangles are shown.

Mathematics

1 answer:

Agata [3.3K]3 years ago

7 0

Answer:

I think that it may be the last one

Step-by-step explanation:

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HELP WITH MATH PLEASE

sergey [27]

Answer:

1) (-3,-2)

2) x=-3

Step-by-step explanation:

1) The vertex of a parabola is the turning point that is the minimum or maximum of the graph, based on the shape of the parabola. In this case, the vertex is the minimum. By looking at the coordinate points, we can tell that the minimum value where the graph changes the direction is at (-3,-2).

2) The line of symmetry is the line on the graph that cuts the shape exactly in half. This means that if you were to fold the graph along this line, the two sides would be identical. All parabolas have a line of symmetry and it always matches the vertex. The equation for the line of symmetry will be x= whatever the x-value of the vertex is. So, for this graph, the line of symmetry is x=-3.

7 0

3 years ago

What is the 4th term of the expanded binomial (2x – 3y)^6

san4es73 [151]

Answer:

The 4th term of the expanded binomial is $-4320x^3y^3$

Step-by-step explanation:

Considering:

$(x+y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k}y^k$

$(2x-3y)^6 = \sum_{k=0}^{6} \binom{6}{k} (2x)^{6-k}(-3y)^k$

Now, you gotta calculate for every value of $k$

$(2x-3y)^6 = \binom{6}{0} (2x)^{6-0}(-3y)^0 + \binom{6}{1} (2x)^{6-1}(-3y)^1 + \binom{6}{2} (2x)^{6-2}(-3y)^2 + \\$

$\binom{6}{3} (2x)^{6-3}(-3y)^3 + \binom{6}{4} (2x)^{6-4}(-3y)^4 + \binom{6}{5} (2x)^{6-5}(-3y)^5 + \binom{6}{6} (2x)^{6-6}(-3y)^6$

I will not write every product, but just solve following the steps:

For $k=0$

$\binom{6}{0} (2x)^{6-0}(-3y)^0$

$\frac{6!}{(6-0)!(0!)} (2x)^{6-0}(-3y)^0$

$\frac{6!}{6!} \left(2x\right)^{6-0}\cdot 1$

$1\cdot \:1\cdot \left(2x\right)^{6-0}$

$2^6x^6$

$64x^6$

$(2x-3y)^6=64x^6-576x^5y+2160x^4y^2-4320x^3y^3+4860x^2y^4-2916xy^5+729y^6$

8 0

3 years ago

What is 2 1/2 divided by 3 2/3

Zepler [3.9K]

Answer by JKismyhusbandbae:

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{1}{2}=\frac{5}{2}\\=\frac{5}{2}\div \:3\frac{2}{3}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 3\frac{2}{3}=\frac{11}{3}\\=\frac{5}{2}\div \frac{11}{3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{5}{2}\times \frac{3}{11}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\=\frac{5\times \:3}{2\times \:11}\\\mathrm{Multiply\:the\:numbers:}\:5\times \:3=15\\=\frac{15}{2\times \:11}\\\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22\\=\frac{15}{22}$

5 0

3 years ago

I need this answer as fast as i can get it and you have to choose Yes or No for each one so just go down in a line using Shift +

Elanso [62]

Answer:

$\displaystyle \frac{8}{18} = \frac{4}{9}\ ,\ \displaystyle \frac{12}{27} = \frac{4}{9}$

Step-by-step explanation:

<u>Equivalent Fractions</u>

Two fractions are equivalent if they represent the same rational number, regardless of their expression. For example, the fraction 2/5 is equivalent to 10/25 since they both represent the number 0.4

To find if a given fraction is equivalent to another given fraction, we can simplify or amplify it until an equivalence is found or not. We can also simply perform the division and compare the results.

We must find out if the four choices are equivalent to the fraction 4/9. Let's start with the first one

$\displaystyle \frac{20}{36} =\frac{5}{9}$

We simplified it by 4 and found it's not equivalent to 4/9. The fraction

$\displaystyle \frac{8}{18} = \frac{4}{9}$

is equivalent to 4/9 when simplified by 2.

$\displaystyle \frac{24}{45} = \frac{8}{15}$

This fraction was simplified by 3 and is not equivalent to 4/9. Finally

$\displaystyle \frac{12}{27} = \frac{4}{9}$

Is equivalent to 4/9 when simplified by 3. Summarizing, these fractions are equivalent to 4/9

$\boxed{\displaystyle \frac{8}{18} = \frac{4}{9}\ ,\ \displaystyle \frac{12}{27} = \frac{4}{9}}$

7 0

3 years ago

Do the scatter plot .........................

Nuetrik [128]

For this case we have the following table:
1 190
2 220
3 200
4 330
5 300
6 410
7 450
8 410
9 530
10 650
11 570
12 650
13 750
14 720
15 700
16 800
The scatter diagram shows that as the weeks increase, sales increase.
Answer:
See attached image.

4 0

4 years ago