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lisabon 2012 [21]
3 years ago
11

The measure of the base of a triangle is represented by 4x+3 and the height is 6x represent the area of the triangle as a polyno

mial in simplest form
Mathematics
1 answer:
Juliette [100K]3 years ago
7 0

Answer:

12x^2+9x

Step-by-step explanation:

The formula of the area of a triangle is \frac{bh}{2}. Plugging in the given base and height values, you get \frac{(4x+3)(6x)}{2}=\frac{24x^2+18x}{2}=12x^2+9x. Hope this helps!

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Write a recursive and an explicit formula to represent the following sequence 52, 40, 28, 16,...
horrorfan [7]

Answer:

Explicit tn = 52 + (n - 1)*(-12)

Recursive = tn = t(n - 1) - 12

Step-by-step explanation:

The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.

t3 = 28

t2 = 40

d = t3 - t2

d = 28 - 40

d = - 12

Explicit

tn = a1 + (n - 1)*d

a1 = 52

d = - 12

tn = 52 + (n - 1)*(-12)

<em><u>Example</u></em>

Find t5

t5 = 52 + (5 - 1)*(-12)

t5 = 52 + 4 * - 12

t5 = 52 - 48

t5 = 4

Recursive

tn = t(n - 1) - 12

<em><u>Example</u></em>

t5 = t4 - 12

t5 = 16 - 12

t5 = 4 just as it did before.

5 0
3 years ago
PLEASE HELP DIRECTIONS INCLUDED IN PHOTOS.
son4ous [18]
I just took the test yesterday and passed
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5 0
3 years ago
Read 2 more answers
Evaluate f(x) = 3x + 8 for x = 1.<br><br> -11<br> 5<br> 11<br> 3
yuradex [85]

Answer:

11

Step-by-step explanation:

f(x)=3x+8

f(1)=3(1)+8

f(1)=3+8

f(1)=11

7 0
3 years ago
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Help please!<br><br> | 2x^2 + 5x + 3 | &gt; 0<br> solve the inequality
vovikov84 [41]

Factorize the quadratic.

2x^2 + 5x + 3 = (2x + 3) (x + 1)

We have |ab| = |a||b|, so

|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0

Now, both |2x+3|\ge0 and |x+1|\ge0 (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

(2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1

So the solution to the inequality is the set

\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}

3 0
2 years ago
Pls anserw I need help
larisa [96]

Answer:

2.7

Step-by-step explanation:

0.5+1.2+1= 2.7

6 0
3 years ago
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