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Kamila [148]
2 years ago
10

Pls pls help me answer ii put this attachment

Mathematics
1 answer:
trasher [3.6K]2 years ago
3 0

Answer:

1/4 is ur answer :)

Step-by-step explanation:

Hoped It Helped

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Show work to triangles 2 and 3 explaining why they are right triangles
olganol [36]

Answer:

Step-by-step explanation:

In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:

a^2+b^2=c^2 where c is the hypotenuse.

We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.

In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:

\sqrt{443}^2+17^2=24^2 which gives us

443 + 289 = 576, but 732 does not equal 576, so that one is not right.

In the second set, the sqrt of 725 is the longest side, so that formula is:

\sqrt{725}^2=14^2+23^2 which gives us

725 = 196 + 529, and 725 does equal 725, so that one is right.

In the third set, the sqrt of 890 is the longest side, so:

\sqrt{890}^2=19^2+23^2, which gives us

890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.

6 0
3 years ago
Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview
svetlana [45]

Answer:  The required solution is

y=(-2+t)e^{-5t}.

Step-by-step explanation:   We are given to solve the following differential equation :

y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.

So, the general solution of the given equation is

y(t)=(A+Bt)e^{-5t}.

Differentiating with respect to t, we get

y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.

According to the given conditions, we have

y(0)=-2\\\\\Rightarrow A=-2

and

y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.

Thus, the required solution is

y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.

6 0
3 years ago
The house has a form of a rectangle with one side two and a half times as long as the other side. a Construct the expression for
Nookie1986 [14]

Answer: A=2.5x^{2}


Step-by-step explanation:

1. Let's write the following formula for calculate the area of a rectangle:

A=yx

Where y is the lenght (the longer side) and x is the width (the shorter side).

2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:

y=2.5x

3. So, you must substitute y into the equation for calculate the area of the rectangle and then you must simplify.

4. Then, you obtain the following expression:

A=(2.5x)(x)\\A=2.5x^{2}


4 0
3 years ago
What is 144/12 i want to know because im really terrible at math to be honest.
Mice21 [21]
The answer is 12. This seems like a calculator job
5 0
3 years ago
Read 2 more answers
Rearrange the equation so nnn is the independent variable.<br> m+1=-2(n+6)m+1=−2(n+6)
lapo4ka [179]

Answer:

m=-2n-13

Step-by-step explanation:

The given equation is m+1=-2(n+6)

We want to rearrange this equation so that, n becomes the  independent variable.

This means we must solve form, m which becomes the dependent variable.

We expand the parenthesis to get:

m+1=-2n-12

We now subtract 1 from both sides to obtain:

m=-2n-12-1

We simplify to obtain:

m=-2n-13

This can be rewritten as

m(n)=-2n-13

3 0
3 years ago
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