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2 years ago

What are the zeros of x^3 - 18x^2 +107x -210

Mathematics

1 answer:

trapecia [35]2 years ago

4 0

Answer:

(−7)(−6)(−5) so the zeros are 5, 6, &7

Step-by-step explanation:

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The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway

marysya [2.9K]

Answer:

The coordinate of the rest stop is: $(5,2.5)$

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

$(x_1,y_1) = (3,4)$ --- Team hotel

$(x_2,y_2) = (7,1)$ --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

$(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)$

This gives:

$(x,y) = \frac{1}{2}(3+7,4+1)$

$(x,y) = \frac{1}{2}(10,5)$

Open bracket

$(x,y) = (5,2.5)$

Solving (b): Distance between the hotel and the stadium

We have:

$(x_1,y_1) = (3,4)$ --- Team hotel

$(x_2,y_2) = (7,1)$ --- Stadium

The distance (d) is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$d = \sqrt{(3 - 7)^2 + (4 - 1)^2}$

$d = \sqrt{(-4)^2 + 3^2}$

$d = \sqrt{16 + 9}$

$d = \sqrt{25}$

$d =5$

From the question, we have:

$1\ unit = 6.4\ miles$

So:

$d =5 * 6.4\ miles$

$d =32\ miles$

3 0

3 years ago

What is the solution to the system of equations 2x + 3y = 40 and y = x +<br>10?<br>oy - y - 12

marissa [1.9K]

Answer:

hope this is correct

4 0

3 years ago

The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?

SashulF [63]

The correct anwer is False

Explanation

According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.

8 0

3 years ago

Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is

Marianna [84]

19 times Answer:

Step-by-step explanation:

8 0

3 years ago

A circle is centered at the origin and contains the point (-6, -8). What is the area of this circle?

gogolik [260]

Answer:

314 units²