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3 years ago

Ractice

1 answer:

3 0

The second answer (2 and 3 are right triangles) is correct

Triangle 1 isn’t a triangle at all.
Triangle 2 is a Right Triangle. 6^2 (36) +8^2 (64) = 10^2 (100)
Triangle 3 is a Right Triangle. 10^2 (100) + 24^2 (576) = 26^2 (676)

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The product of a particular number and a second value, which is given by the sum of 8 and the original number, is 65. What is th

Marina86 [1]

Given:

The product of a particular number is 65.

Second value is given by the sum of 8 and the original number.

To find:

The unknown number.

Solution:

Let x be the unknown number.

Then, second number = x+8

The product of a particular number is 65.

$x\times (x+8)=65$

$x^2+8x=65$

$x^2+8x-65=0$

Splitting the middle term, we get

$x^2+13x-5x-65=0$

$x(x+13)-5(x+13)=0$

$(x-5)(x+13)=0$

Using zero product property, we get

$x-5=0$ and $x+13=0$

$x=5$ and $x=-13$

So, the unknown number is either 5 or -13.

Therefore, the correct option is B.

8 0

3 years ago

G(x)= 3/4x+6 What is the value of g(12)?

gizmo_the_mogwai [7]

Answer:

G(12) = 15

Step-by-step explanation:

When doing g(x) equations, all you do is substitute the value inside the parentheses to x in the equation.

So you get 3/4(12) + 6.

Then simplify to get g(12) = 15

4 0

3 years ago

You have 400 feet of fencing to enclose a rectangular plot. Find the length and width of the plot that will maximize the area. W

3241004551 [841]

Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.

Hope this helps.

6 0

3 years ago

Use each model to predict the life expectancy of residents of a country for which the average annual income is $80,000

Mandarinka [93]

The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393

The life expectancies of the models are given as:

$y =69.9352 + 0.1530\times (income)$ --- model 1