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777dan777 [17]
3 years ago
13

Find the area of right triangle ABC.

Mathematics
2 answers:
anastassius [24]3 years ago
6 0

Answer:

<em>16</em>

Explanation:

Area of Triangle = 1/2(B*H)

<u>Height - 4</u>

<u>Base - 8</u>

8 * 4 = 32

32 / 2 = 16

Travka [436]3 years ago
3 0
16 because the base is 8 and the height is 4. That equals 32. 32/2=16
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Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).
Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>
  • The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In this problem, the function is:

f(x) = x^3 + ax^2 + b

Hence, the derivative is:

f^{\prime}(x) = 3x^2 + 2ax

Then:

f^{\prime}(x) = 0

3x^2 + 2ax = 0

x(3x + 2a) = 0

x = 0

3x + 2a = 0

3x = -2a

x = -\frac{2a}{3}

Since the critical point is at x = 2, we have that:

-\frac{2a}{3} = 2

-2a = 6

2a = -6

a = -3

Then:

f(x) = x^3 - 3x^2 + b

Critical point at (2,3) means that when x = 2, y = 3, then:

3 = 2^3 - 3(2)^2 + b

8 - 12 + b = 3

b = 7

You can learn more about the critical point concept at brainly.com/question/2256078

4 0
1 year ago
Greg has collected 4,385 pennies and Hannah has collected 3,899 pennies.How many times as great as the value of 3 in 4,385 is th
shutvik [7]
The value of 3 in 4,385 is 1/10 times the value of 3 in 3,999.
because, value of 3 in 4,385 is 300 and value of 3 in 3,999 is 3000
4 0
3 years ago
To solve a right triangle means to find the measures of all its and
maria [59]
Angles and sides 
meaning the length of the sides of the triangle and all the angles <span />
5 0
3 years ago
Is the relation a function? <br><br> {( 1, 12), (3, 14), (14, 3), (5, 12)}<br><br> yes or no
Iteru [2.4K]

Answer:

Yes.

Step-by-step explanation:

Yes because each  value of x maps to a single value of y.

THere is a many-to-one relation with (1, 12) and (5, 12) but that is OK  for a function.  What would not be OK  is if we had a one-to-many relation like  (1, 12) and (1, 14)  included in the ordered pairs - that is not a function.

6 0
3 years ago
Read 2 more answers
Two similar solids are shown A and B
vodomira [7]

Answer:

<h2>120 cm³</h2><h2 />

Step-by-step explanation:

this is a ratio and proportion of two similar solids

vol A = 60 cm³ and A = 3cm

vol B = ?            and B = 6 cm

<u>  60   </u>  =  <u>  3   </u>

 B              6

do cross multiply:

3B = 60(6)

B = 120 cm³

therefore, the vo. of B is 120 cm³

5 0
3 years ago
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