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3 years ago

Please help quickly,Thank you!v v v v v v v v v v v v

Mathematics

2 answers:

allsm [11]3 years ago

6 0

Answer:

The HCF of 15 and 20 is 5.

Step-by-step explanation:

The given numbers are 15 and 20.

The factors 15 are

$15=3\times 5$

The factors of 20 are

$20=2\times 2\times 5$

From the above factors it is noticed that the 5 is the common factor.

$H.C.F.=5$

Therefore the HCF of 15 and 20 is 5.

Illusion [34]3 years ago

4 0

Based on these trees, your greatest common factor or highest common factor is they call it, would be 5. It is the largest number that divides evenly into both 15 and 20.

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Elimination_4x_2y=14 _10x+7y=_24

Gnesinka [82]

Answer:

The answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

$-4x-2y=14$ ......(1)

$-10x+7y=-24$ ......(2)

So, we multiply the equation (1) by 7 we get:

$-28x-14y=98$

And, we multiply the equation (2) by 2 we get:

$-20x+14y=-48$

Now, adding both the new equations:

$-28x-14y+(-20x+14y)=98+(-48)$

$-28x-14y-20x+14y=98-48$

$-28x-20x-14y+14y=50$

$-8x=50$

Dividing both the sides by -8 we get:

$x=-\frac{50}{8}$

Now, putting the value of $x$ in equation (1):

$-4x-2y=14$

$-4(-\frac{50}{8})-2y=14$

$\frac{200}{8} -2y=14$

$25-2y=14$

Subtracting both sides by 25 we get:

$-2y=-11$

Dividing both sides by -2 we get:

$y=\frac{11}{2}$

Therefore, the answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

5 0

3 years ago

Please write an equation

Katen [24]

Answer:

y = $\frac{3}{4}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = $\frac{5-2}{4-0}$ = $\frac{3}{4}$

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = $\frac{3}{4}$ x + 2 ← equation of line

4 0

2 years ago

Complete the coordinate proof of the theorem.

mojhsa [17]

C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)

the length of AC can be calculated with the theorem of Pythagoras:

length AB = a - 0 = a
length BC = b - 0 = b

seeing as the length of AC is the longest, it can be calculated by the following formula:

It is called "Pythagoras' Theorem" and can be written in one short equation:

a^2 + b^2 = c^2 (^ means to the power of by the way)

in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:

a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)

Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!

3 0

3 years ago

Read 2 more answers

If a graph of a system of two equations shows two lines that coincide on a coordinate plane, how many solutions does the system

olga55 [171]

If a graph of a system of two equations shows two lines that coincide on a coordinate plan there would be C.)Infinitely many solutions

I hope this helps, have a great day.

3 0

3 years ago

Read 2 more answers

Human beings have discovered an inhabitable planet and soon after, they find 10 more inhabitable planets. Of these 11, only 5 ar

Tatiana [17]

5 of the planets are earth like and 2 are mars like

5 * 2 = 10

1 * 2 = 2

Total 12

4 earth like and 4 mars like

Earth = 4*2 = 8

Mars = 4 * 1 = 4

Total 12

3 Like Earth 6 like mars

Earth 3 * 2 = 6

Mars 6 * 1 = 6

Total 12

Those answers are the only ones possible.

3 0

3 years ago