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3 years ago

Help help help please

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

8 0

True, because of the Triangle Inequality Theorem.

To test if you could construct a triangle, make sure the following inequalities are true.

9 + 4 > 11

9 + 11 > 4

4 + 11 > 9.

gregori [183]3 years ago

3 0

These 3 lines form a Scalene Triangle, which is a triangle with 3 sides of 3 different lengths. According to the Triangle Inequality Theorem, a triangle results, because, the longest sides (11) is less than the sum of the other two sides ( 9 + 4) = 13. 9 + 11 > 4, 4 + 11 > 9, 4 + 9 > 11

Therefore, your answer would be, TRUE, because, of the Triangle Inequality Theorem.

Hope that helps!!!!

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Help! I have looked at so many lessons on writing exponential functions from a graph and nothing has helped.

Over [174]

Answer:

y = $8(-\frac{1}{2})^x$

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points $(4, \frac{1}{2})$ and (3, -1)

For the point $(4, \frac{1}{2})$ ,

$\frac{1}{2}=a(b)^4$ ---------(1)

For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

$\frac{\frac{1}{2}}{-1}$ = $\frac{a(b)^4}{a(b)^3}$

$-\frac{1}{2}=b^{(4-3)}$

$-\frac{1}{2}=b$

From equation (2)

-1 = $a(-\frac{1}{2})^3$

-1 = $-\frac{1}{8}a$

a = 8

Therefore, equation of the exponential function will be,

y = $8(-\frac{1}{2})^x$

4 0

2 years ago

What is the nth term rule of the quadratic sequence below?<br> -5, -3,3, 13, 27, 45, 67, ...

Svetllana [295]

Answer:

the pattern is +2, +6, +10, +14, +18 etc

so its in increment of 4

the rest is trivial

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

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chubhunter [2.5K]

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3 years ago

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2, 6, 10, 14, ...

8090 [49]

The sequence can be represented by $2 + 4x$ , where $x$ is a whole number( $x \geq 0$ and $x$ is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to $2 + 4x$ and confirm that there is a whole number x which equals the values selected.

$2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark$

$2 + 4x = 150 \Rightarrow 4x = 148 \Rightarrow x = 37 \, \checkmark$

$2 + 4x = 160 \Rightarrow 4x = 158 \Rightarrow x = 39.5$

When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.

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$2 + 4x = 210 \Rightarrow 4x = 208 \Rightarrow x = 52 \, \checkmark$

6 0

3 years ago