What are the coordinates of the circumcenter of a triangle with vertices A(−1, 1) , B(5, 1) , and C(−1, −1) ?

When 10 is added to the product of 5 and a number, the result is 50. What is the number?

dalvyx [7]

It's 35 because 10 plus 5 is 15. You the subtract it by 50 and you get 35.

5 0

4 years ago

Read 2 more answers

Which are the solutions of the quadratic equation?

Drupady [299]

For this case we must find the roots of the following equation:

$x ^ 2-7x-4 = 0$

We have to:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Where:

$a = 1\\b = -7\\c = -4$

Substituting the values:

$x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 4)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 16}} {2}\\x = \frac {7\pm\sqrt {65}} {2}$

We have two roots:

$x_ {1} = \frac {7+ \sqrt {65}} {2} = 7.53\\x_ {2} = \frac {7- \sqrt {65}} {2} = - 0.53$

Answer:

$x_ {1} = \frac {7+ \sqrt {65}} {2} = 7.53\\x_ {2} = \frac {7- \sqrt {65}} {2} = - 0.53$

6 0

3 years ago

Select the correct answer.

castortr0y [4]

Answer:

The correct option is (B) $58.41$ .

Step-by-step explanation:

The exponential decay function is as follows:

$y=a(1-r)^{t}$

Here,

y = final value

a = initial value

r = decay rate

t = time taken

It is provided that:

a = 150 mg

r = 9% = 0.09

Then the next hour the amount of caffeine in the body will be:

$y=a(1-r)^{t}\\=150\times (1-0.09)^{1}\\=136.5\ \text{mg}$

Then after two hours the amount of caffeine in the body will be:

$y=a(1-r)^{t}\\=150\times (1-0.09)^{2}\\=124.215\ \text{mg}$

Similarly after 10 hours the amount of caffeine in the body will be:

$y=a(1-r)^{t}\\=150\times (1-0.09)^{10}\\=58.4124\ \text{mg}\\\approx 58.41\ \text{mg}$

Then the inequality representing the range of the exponential function that models this situation is:

$58.41$

Thus, the correct option is (B).

6 0

4 years ago

A bag contains three red marbles, five green ones, one lavender one, two yellows, and six orange marbles. HINT (See Example 7.)

Sedaia [141]

Answer: 180

Step-by-step explanation:

Given : A bag contains three red marbles, five green ones, one lavender one, two yellows, and six orange marbles.

The number of ways to choose one thing out of n is given by:-

$^nC_1=\dfrac{n!}{1!(n-1)!}=n$

Number of ways to choose one red marble out of 3= $^3C_1=3$

Number of ways to choose one green marble out of 5= $^5C_1=5$

Number of ways to choose one yellow marble out of 2= $^2C_1=2$

Number of ways to choose one orange marble out of 6= $^6C_1=1$

By using the Fundamental counting principle , we have

The number of sets of four marbles include one of each color other than lavender will be :-

$3\times5\times2\times6=180$

Hence, the number of sets of four marbles include one of each color other than lavender =180

4 0

3 years ago

I'm leaving brainly. one final goodbye.

lbvjy [14]

Answer:

awe can i have all of your points??

Step-by-step explanation:

8 0

3 years ago