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KATRIN_1 [288]
3 years ago
12

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]3 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]3 years ago
3 0

Answer:

19.5

Step-by-step explanation:

Use the distance formula: d =  

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

A =  

1

2

bh =  

1

2

(

13

)(3

13

) = 19.5

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Find the slope between the points (-3, -2) and (5, 4) (type in integer or reduced fraction you found only)
DiKsa [7]

Answer:

The slope is: \frac{3}{4}

Step-by-step explanation:

The equation for slope is:

m=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }

Point 1: -3=x_{1}, -2=y_{1}

Point 2: 5=x_{2}, 4=y_{2}

4-(-2)=6

5- (-3)=8

6/8=3/4

4 0
3 years ago
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nikdorinn [45]

Answer:

Step-by-step explanation:

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3 0
3 years ago
What’s the result ????????????????
Mrrafil [7]

Answer:

Option 1

Step-by-step explanation:

You must multiply (2x + 3) by (x + 4). I use the FOIL method.

(2x + 3)(x + 4)

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4 0
2 years ago
Can anybody explain and answer this thoroughly?
Vlad [161]
Answer: Choice B (31, 52)

--------------------------------------

Explanation:

To go from the point (1,2) to (4,7) we do two things:
A) Move 3 units to the right
B) Move 5 units up

Applying the scale factor will multiply those movement steps by 10. So instead of "3 units to the right" we'll go "30 units to the right" since 3*10 = 30. Similarly, we'll move 50 units up instead of 5 (5*10 = 50)

So if we start at (1,2) and move 30 units to the right and 50 units up, then we'll land on (31, 52) which is the image point for the preimage (4,7)

This is why the answer is choice B

-------------

Note: We can alternatively shift both initial points to the left 1 and down 2 so that (1,2) lands on the origin (0,0). That means (4,7) turns into (3,5). Apply the scale factor through multiplying both coordinates by 10. This works only because the reference point is the origin. We end up with (30,50). Now undo the "left 1 and down 2" to "move right 1, up 2" and we arrive at (31,52) which is the same answer as before. So this is further confirmation that the answer is choice B
7 0
3 years ago
What is 3-22 tenths equal?
Effectus [21]
0.8 this is the answer 3-(22 tenths)=0.8                                               
3 0
3 years ago
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