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4 years ago

6x(x + 5) = 0 What this equal too

Mathematics

1 answer:

KatRina [158]4 years ago

3 0

Answer:

x = -5

Step-by-step explanation:

-5 + 5 = 0 0×6=0

10100101010100101010101010101010101010

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The vertices of a quadrilateral in the coordinate plane are known.How can the perimeter of the figure be found?

Yuri [45]

Answer:

Find the length of sides. The sum of these sides is the perimeter of a quadrilateral

Step-by-step explanation:

A quadrilateral is a figure that has four sides. To find the perimeter of any quadrilateral, we find the sum of all four sides.

Given:

The co-ordinates of all vertices of a quadrilateral is known

To Find:

Perimeter of a quadrilateral

Steps:

1. Find the length of all sides using the straight line distance formula.

2. Add all the sides to find perimeter.

Let us take an example:

In figure the four co-ordinates are as follows:

A(1,3), B(4,2), C(3,0) and D(1,1)

Perimeter of quadrilateral ABCD= AB+BC+CD+DA

To find AB we use straight line distance formula, which is as follows:

AB = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$ where

$x_{1}= 1,x_{2}=4, y_{1}=3, y_{2}=2$

Substituting values we get,

AB= $\sqrt{(4-1)^2+(2-3)^2 }$

AB= $\sqrt{(3)^2+(-1)^2 }$

AB= $\sqrt{(9+1 }$

AB= $\sqrt{10}$

Similarly, we can find length of BC,CD and DA

BC= $\sqrt{5}$ ,CD= $\sqrt{5}$ ,DA=2

Then sum of these sides is perimeter of quadrilateral= $12+2\sqrt{5}$

Note: In this example, the perimeter cam out in roots, due to the values of co-ordinates taken. But the sum can also be a whole number.

6 0

3 years ago

Slove the sum -15 > - 16 + y

Marrrta [24]

Answer:

Let's solve your inequality step-by-step.

−15>−16+y

Step 1: Simplify both sides of the inequality.

−15>y−16

Step 2: Flip the equation.

y−16<−15

Step 3: Add 16 to both sides.

y−16+16<−15+16

y<1

Answer:

y<1

5 0

3 years ago

Find the 12th term in the following geometric sequence. 0.75, 1.5, 3, 6, . . .

DochEvi [55]

We know that this is a geometric sequence. Keep in mind that in a geometric sequence, the next term is found by shamelessly multiplying it by "some number", namely the "common ratio".

therefore, if you divide any "next term" by the "previous term", the quotient will just be that "some number", thus, if 1.5 ÷ 7.5 will give it to us, and is, yeap, you guessed it, is 2.

you can check say 3 ÷ 1.5 or 6 ÷ 3, you'll see it.

so, we know the common ratio is 2, and the first term is 0.75, so

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=2\\
a_1=0.75\\
n=12
\end{cases}
\\\\\\
a_{12}=0.75\cdot 2^{12-1}\implies a_{12}=0.75\cdot 2^{11}\implies a_{12}=1536$