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2 years ago

How can you prove a polynomial identity?

Mathematics

1 answer:

Lynna [10]2 years ago

3 0

Answer:

To show that an equation is an identity: Start with either side of the equation and show that it can algebraically be changed into the other side. Or start with both sides of the equation and show that they both can be changed into the same algebraic expression.

Step-by-step explanation:

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Use the distance formula, show that the points (4,0), (2,1), and (-1,-5) form the vertices of a right triangle

mario62 [17]

Step-by-step explanation:

The distance formula between two points:

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

Substitute the coordinates of the points.

$A(4,\ 0),\ B(2,\ 1),\ C(-1,\ -5)\\\\AB=\sqrt{(2-4)^2+(1-0)^2}=\sqrt{(-2)^2+1^2}=\sqrt{4+1}=\sqrt5\\\\AC=\sqrt{(-1-4)^2+(-5-0)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}=\sqrt{50}\\\\BC=\sqrt{(-1-2)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}=\sqrt{9+36}=\sqrt{45}$

If a ≤ b < c are the sides of the right triangle, then

a² + b² = c²

$\sqrt5$

used $(\sqrt{a})^2=a$ for a ≥ 0.

$AB^2+BC^2=AC^2$ therefore ΔABC is a right triangle.

6 0

2 years ago

A student use the sieve of Eratosthenes to find all prime numbers less than 100 create a step by step set of directions to show

nydimaria [60]

How come back home from walmart and it's called I have

5 0

2 years ago

What is p=2(e+w)for e solve for indicated variable?

vagabundo [1.1K]

$p=2(e+w) \\ p=2e+2w \ \ \ /-2w \\ p-2w=2e \ \ \ /:2 \\ \dfrac{p-2w}{2} =e \\ \dfrac{1}{2} (p-2w)=e \\ \dfrac{1}{2} p - w=e$

7 0

2 years ago

Read 2 more answers

X = 7W? + 4w - 6<br> Y =w2 - 11w +13<br> X-Y<br> Your answer should be a polynomial in standard fom.

svp [43]

Answer: $w^2-22w+19$

Step-by-step explanation:

$X=7w+4w-6\\Y=w^2-11w+13\\$

$(7w+4w-6)-(w^2-11w+13)\\7w+4w-6-w^2+11w-13\\(7w+4w+11w)+(-6-13)-w^2\\22w-19-w^2\\-w^2+22w-19$

Normally we wouldn't have our square variable be negative, so in order to get rid of that negative sign without changing the equation is by multiplying by -1

$-1(-w^2+22w-19)\\=w^2-22w+19$

4 0

2 years ago

Raj studied for4/7of an hour,while ram studied for 5/8 of an hour.who studied for longer time

Ksivusya [100]

Answer:

Ram studied for longer time

Step-by-step explanation:

An hour = 60 minutes

Raj studied for 4/7 of an hour

= 4/7 of 60 minutes

= 4/7 × 60

= (4×60)/7

= 240/7

= 24.29 minutes

ram studied for 5/8 of an hour

= 5/8 of 60 minutes

= 5/8 × 60

= (5×60)/8

= 300/8

= 37.5 minutes

who studied for longer time?

Ram - Raj

= 37.5 - 24.29

= 13.21 minutes

Ram studied for longer time

Ram studied 13.21 minutes longer than Raj

5 0

2 years ago