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3 years ago

The area of right angled triangle with its legs are 6cm and 8cm is equal to

Mathematics

1 answer:

aalyn [17]3 years ago

4 0

Answer:

A = 24 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 (6)*8

A = 24 cm^2

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The graph of the function f(x) = –(x + 6)(x + 2) is shown below.

schepotkina [342]

Answer:

a. The function is increasing for all real values of x where x < –4.

Step-by-step explanation:

Let me help you, I have answered this question once in Brainly as well

Given the factored form of the function:

f(x) = -(x + 6)(x+2)

<=> f(x) = $-x^{2} - 8x -12$

We will convert to vertex form

$f(x) = -(x+4)^{2} + 4$

Let analyse other possible answers:

a. The function is increasing for all real values of x where x < –4.

True, because the parameter a = - 1 so the graph open down all over its domain

b. The function is increasing for all real values of x where –6 < x < –2.

Wrong, the function decrease in the interval from –4.< x < -2

c. The function is decreasing for all real values of x where x < –6 and where x > –2.

Wrong, the function increase in the interval from -6 < x < -4

d. The function is decreasing for all real values of x where x < –4.

Wrong, The function is increasing for all real values of x where x < –4.

7 0

3 years ago

Read 2 more answers

Please help with this percent problem:

Soloha48 [4]

Answer: 130

Step-by-step explanation: the only reasonable answer

8 0

3 years ago

Find the solution in slope-intercept form y+7=-3(x-1) and 3x+y=-4

Svetach [21]

Answer:

The slope intercept form of both given equations is : y = - 3 x - 4.

Step-by-step explanation:

Here, the given equations are:

y +7 = -3 ( x - 1 )

and 3 x + y = - 4

Now,the SLOPE INTERCEPT FORM of any given equation is given as:

y = m x + C : here, C = Y - intercept, m = Slope

Consider equation (1):

y +7 = -3 ( x - 1 ) ⇒ y + 8 = - 3 x + 3

or, y = -3x + 3 - 7 = -3x - 4

⇒ y = -3x -4

Hence, the slope-intercept form of the given equation is y = -3x -4.

Consider equation (2):

3 x + y = - 4 ⇒ y = -4 - 3 x

⇒ y = -3 x - 4

Hence, the slope-intercept form of the given equation is y = -3x -4.

6 0

3 years ago

A function g(x) has x-intercepts at (1/2, 0) and (6, 0). which could be g(x)?

AlexFokin [52]

The x-intercepts of a function are used to express the function into factored form:
From (1/2, 0)
(x - 1/2)

From (6, 0)
(x-6)

(x - 1/2) (x-6) = 0
(2x -1)(x-6) = 0

The function is:
B. g(x) = (x – 6)(2x – 1)

5 0

3 years ago

Read 2 more answers

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$