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3 years ago

Is 4,8,10 pithogoreon triplet

Mathematics

1 answer:

DENIUS [597]3 years ago

5 0

Answer: No

Step-by-step explanation:

No, because 4^2 is 16, 8^2 is 64, 10^2 is 100 and 16+64 = 80 and 80≠100

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Find an equation of the line in the form ax+by=c whose x-intercept is 12 and y-intercept is 4, where a, b, and c are integer

Lostsunrise [7]

Answer:

The equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

Step-by-step explanation:

Given:

x-intercept = 12

y-intercept = 4

To find the equation of line in the form $ax+by=c$ where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0.

Solution:

The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as $(x,0)$

Thus, on point of the line is (12,0)

The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as $(0,y)$ .

Thus, on point of the line is (0,4)

Using the two points we can find the slope of the line using the slope formula.

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

So, slope of the line can b given as:

$m=\frac{4-0}{0-12}$

$m=\frac{4}{-12}$

$m=-\frac{1}{3}$

The slope intercept form of the equation of he line is given as:

$y=mx+b$

where $m$ represents slope of the line and $b$ represents the y-intercept.

So, the equation of the line can be given as:

$y=-\frac{1}{3}x+4$

Multiplying each term by 3 to remove fraction.

$3y=3.-\frac{1}{3}x+4(3)$

$3y=-x+12$

Adding $x$ both sides.

$3y+x=-x+x+12$

$3y+x=12$

Thus, the equation of the line in $ax+by=c$ form where $a,b,c$ are integers with no factor common to all three, and greater than or equal 0 is:

$x+3y=12$

8 0

3 years ago

Applying the Procedure

Verizon [17]

Answer:

15 Square Inches

Step-by-step explanation:

Volume of the cone=40 cubic inches

Height of the cone=8 Inches

Step 1: Applying the formula for the volume of a cone

Volume of a Cone $=\frac{1}{3}\pi r^2 h=\frac{1}{3} X $Base Area X Height$

Step 2: Substituting values for the variables

$40=\frac{1}{3} X $Base Area X 8$

Step 3: Simplifying the right side

$40=\frac{8}{3} X $Base Area$

Step 4: Multiplying by the reciprocal

$40X\frac{3}{8}=\frac{8}{3} X\frac{3}{8} X $Base Area\\$

Therefore, Base Area of the Cone=15 Square Inches

8 0

3 years ago

What is the area surface?

Rus_ich [418]

Answer:

The total area of the surface of a three-dimensional object.

Step-by-step explanation:

6 0

3 years ago

Can you help me with this?

DochEvi [55]

Answer:

I need some more context

Step-by-step explanation:

5 0

3 years ago

Factorize 10x3y2+5x3y3-15x4y5

d1i1m1o1n [39]

Answer:

−5x^3y^2(3xy^3−y−2)

i hope this helped :D

7 0

3 years ago

Is 4,8,10 pithogoreon triplet​

Is 4,8,10 pithogoreon triplet