Find the area of the triangle defined by the coordinates (7, 1), (0, 10), and (9, 4). (To the nearest tenth)

Mathematics

2 answers:

slega [8]2 years ago

4 0

Answer:

C) 19.5 square units

Step-by-step explanation:

The area from coordinates can be computed as ...

A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|

= (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|

= (1/2)|-39| = 39/2 = 19.5

The area of the triangle is 19.5 square units.

Goryan [66]2 years ago

3 0

Answer:

19.5

Step-by-step explanation:

Use the distance formula: d =

(x2 - x1)2 + (y2 - y1)2

A =

bh =

(

)(3

) = 19.5

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Read 2 more answers

Which exponential function goes through the points (1,8) and (4,64)?

vova2212 [387]

Plug in (4,64) into each answer choice.

A) 4(2)^x
64 =4(2)^4
64 = 4(16)
64 = 64

Answer choice A is correct.

B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512

Answer choice B is incorrect.

C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25

Answer choice C is incorrect.

D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125

Answer choice D is incorrect.

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2 years ago

Find the area of the rhombus. 4.32 m2 2.16 m2 1.08 m2 1.05 m2

S_A_V [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The part of the diagonals are given as 0.9 m and 1.2 m.

The diagonals of rhombus intersect each other.

Hence the length of diagonals will be : $0.9*2=1.8$ and $1.2*2=2.4$