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3 years ago

Can the sides of a triangle have sides of 5, 8, and 16 ???

Mathematics

1 answer:

Nata [24]3 years ago

4 0

Answer:

No.

Step-by-step explanation:

The triangle inequality theorem states that the sum of two sides of a triangle must be greater than the third side.

5 + 8 = 13.

13, which is the sum of two sides, is not larger than 16, the third side.

Therefore, a triangle cannot have these side lengths.

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Consider this system of two linear equations.

katen-ka-za [31]

Answer:

Step-by-step explanation:

so these two lines cross at some point.. and they want to know the y point at which they cross... sooo..

solve them as a system to find the points that are common to both

Eq. 1) 5x -2y = 16

Eq. 2) -4x+6y=-15

i'll use the elimination method as these equations "lend" themselves to that way.. they are easy to solve that way .. in other words..

multiply Eq. 1 by 3 the add Eq. 2 .. to it... add the terms as columns....

15x-6y = 48

= 11x+ 0y =33

x=3

nice, now plug 3 in for x in one of the Eq. try Eq. 1

5(3)-2y=16

15-2y=16

-2y =1

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

since we're looking for the y coordinate... that's your answer $-\frac{1}{2}$

4 0

3 years ago

The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which i

lana66690 [7]

Answer:

Correct choice is B

Step-by-step explanation:

The exponential regression model can be written as exponential function

$y=a\cdot b^x.$

Then

$5,000=a\cdot b^0=a,\\ \\5,510=a\cdot b^2\Rightarrow 5,510=5,000\cdot b^2,\\ \\b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}\Rightarrow b\approx 1.05.$

Thus,

$y=5,000\cdot (1.05)^x.$

When $x=12,$ you get

$y(12)=5,000\cdot (1.05)^{12}\approx \$8,980.$

6 0

4 years ago

Read 2 more answers

What the answer the answer it is due tomorrow plz help me

makvit [3.9K]

6. 20 ft Below sea level is -20 and 15 ft. Below sea level is -15, add -20+-15 (the new integer is -35)

6 0

3 years ago

FIND the inverse of f(x)= -6 -x^1/3<br><br> f^-1 (x) =

inna [77]

Answer:

$f^{-1}(x) = - (x+6)^3$

Step-by-step explanation:

Use the x-swap-y method to find the inverse:

$y = -6 -x^{1/3}\\x\leftrightarrow y\\x = -6-y^{1/3}\,\,\,\mbox{and solve for y:}\\-x-6=y^{1/3}\\(-(x+6))^{3}=y\\y = - (x+6)^3$

7 0

3 years ago

Find the unknown length x in the right triangle, to the nearest tenth .

VARVARA [1.3K]

Answer:

x = 11.7

Step-by-step explanation:

sin of an angle is opposite/hypotenuse

sin 38 = x/19

x = 19 sin 38

x = 11.7

You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.

8 0

3 years ago