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yan [13]
3 years ago
9

What is the area of this triangle?

Mathematics
2 answers:
fredd [130]3 years ago
7 0

Answer:

i think it's 16

Step-by-step explanation:

34kurt3 years ago
4 0

Answer:

36

Step-by-step explanation:

The bottom triangle is a 3,4,5 meaning that 8 being the whole base minus 3 is 6. The height of the triangle is 4, 6*4 is 24. 3*4 is 12. When you combin ethem together you get 36.

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Write equation of the line containing (4,2) and (3,5)<br> in slope-intercept form.
11Alexandr11 [23.1K]

Answer:

The equation of the line containing (4,2) and (3,5)  in the slope-intercept form will be:

  • y=-3x+14

Step-by-step explanation:

Given the points

  • (4, 2)
  • (3, 5)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(4,\:2\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-2}{3-4}

m=-3

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b

y=mx+b

2=(-3)4 + b

2 = -12 + b

b = 2+12

b = 14

Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.

y=mx+b

y=(-3)x+(14)

y=-3x+14

Thus, the equation of the line containing (4,2) and (3,5)  in the slope-intercept form will be:

  • y=-3x+14

6 0
3 years ago
200% of d is 18 what is d
MissTica

Answer:

d = 9

Step-by-step explanation:

200% = double

aka 2d = 18

d = 9

7 0
3 years ago
Read 2 more answers
How many times can 24 go into 48
zysi [14]
48 ÷ 24 = 2
24 goes into 48 2 times.
6 0
3 years ago
Read 2 more answers
SOLVE 3(2 x-1)= 4 X+2
Tanya [424]
So, for this, "x" can equal 5/2 which is fraction form, OR it can be decimal form, which would be 2.5

I hope this helps!
3 0
3 years ago
Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra
katen-ka-za [31]

You made a mistake with the probability p_{j}, which should be p_{i} in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer j, is given by:

(1) \frac{p_{j} }{1-d_{i}p_{i}  } , if j \neq i, and

(2) \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i}  } , if j = i.

so we can say:

A is the event that you search drawer i and find nothing,

B is the event that you search drawer i and find the paper,

C_{k}  is the event that the paper is in drawer k, k = 1, ..., n.

this gives us:

P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}

P(A) = 1 - P(B) = 1 - d_{i} p_{i}

Solution to Part (1):

if j \neq i, then P(A \cap C_{j} ) = P(C_{j} ),

this means that

P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)}  = \frac{P(C_{j} )}{P(A)}  = \frac{p_{j} }{1-d_{i}p_{i}  }

as needed so part one is solved.

Solution to Part(2):

so we have now that if j = i, we get that:

P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}

remember that:

P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}

this implies that:

P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )

so we just need to combine the above relations to get:

P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i}  }

as needed so part two is solved.

8 0
3 years ago
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