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3 years ago

A triangle has vertices at A(-2,3), B(2,-2), and C(-2,-2). What is the area of the triangle?

Mathematics

1 answer:

Ad libitum [116K]3 years ago

6 0

Answer:

c.10 square units

Step-by-step explanation:

Area of Triangle = 1/2(x1(y2−y3)+x2(y3−y1)+x3(y1−y2))

substitute the coordinates in the formula and take modulus ( so that the answer becomes positive )

I hope you understood , cheers mate !!

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Simplify: (2^2 + 3^4)−^2

Lisa [10]

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (2^2+3^4)^{-2}\implies (4+81)^{-2}\implies 85^{-2}\implies \cfrac{1}{85^2}\implies \cfrac{1}{7225}$

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3 years ago

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PLSS HELPP 25 POINTS AND BRAILIEST

Salsk061 [2.6K]

Answer:

$\Large \boxed{\sf 136 \ m^2}$

Step-by-step explanation:

Surface area of this shape = area of 2 triangles + area of 3 rectangles

$(6 \times 4 \times 0.5 \times 2 )+(7 \times 5 \times 2+7 \times 6)=136$

7 0

2 years ago

The sum of two numbers is at most 12, and the sum of 3 times the first number and 8 times the second number is at least 48 selec

Sever21 [200]

Answer:

(4,8)

Step-by-step explanation:

4 + 8 = 12

3(4) + 8(8)

= 12 + 64

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3 years ago

In a certain computer, the probability of a memory failure is 0.01, while the probability of a hard disk failure is 0.02. If the

ratelena [41]

Answer:

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

Step-by-step explanation:

For this case we can define the following events:

A= In a certain computer a memory failure

B= In a certain computer a hard disk failure

We have the probability for the two events given on this case:

$P(A) = 0.01 , P(B) = 0.02$

We also know the probability that the memory and the hard drive fail simultaneously given by:

$P(A \cap B) = 0.0014$

And we want to check if the two events are independent.

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

8 0

3 years ago

Simplify so it's in slope-intercept form (y=mx+b)<br><br> y - 125 = 55(x - 2)

AlexFokin [52]

Answer:

y = 55x + 15

Step-by-step explanation:

i think this is it, but it might not be right

4 0

3 years ago