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Advocard [28]
3 years ago
11

What is the area of the triangle?

Mathematics
2 answers:
aksik [14]3 years ago
5 0

Answer:

270 centimeters squared  

Step-by-step explanation:

the formula to find the area of a triangle is A= 1/2(B)(H)

A= 1/2 (30)(18)

A= 270

-Dominant- [34]3 years ago
3 0

Answer:

270 centimeters squared

Step-by-step explanation:

A = H x W / 2

A = 18 x 30

A = 270

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Step-by-step explanation:

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A circle is centered at the point (5, -4) and passes through the point (-3, 2).
zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10

The standard form of equation of circle is:

(x-h)^{2}+(y-k)^{2}=r^{2}

where h and k are the coordinates of the center. So putting in the value:

(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100

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Step-by-step explanation:

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Use the remainder Theorem to find the remainder for the given division. (16z^4-1)/(z+1)
Mice21 [21]

Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>

<em />

Given expression:

\frac{16z^{4}-1}{z+1}

In this case:

P(z)=16z^4-1z=-1

To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:

P(-1)=16(-1)^4-1

Simplifying:

P(-1)=16(1)^{}-1P(-1)=16^{}-1P(-1)=15

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