A hockey coach recorded the number of shots taken by the home team and the number taken by the visiting team in 20 games,

Mathematics

1 answer:

rosijanka [135]3 years ago

6 0

Answer:

The answer is "None of the above".

Step-by-step explanation:

In this question, both the team given data is the same, and when the coach calculates its value it will give the same value, that's why we can say that all the choices were wrong.

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A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build

Svetlanka [38]

We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse

x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x

x^2+36=100 Square each individual term

x^2+=100+36 Subtract 36 from both sides

x^2=64 Combine like terms

sqrt(2)=sqrt(64) Take the square root of both sides

x = 8 Simplify the square root

So our answer is x = 8
The ladder touches the 8 feet mark on the wall.

5 0

3 years ago

For what values of a does the equation a+x= 1+xa^2 have no solution?

Anton [14]

Answer:

We have the equation

$a+x= 1+xa^2$

we leave the terms with x on the left side of the equation and the independent terms on the right side.

$x-xa^2=1-a\\(1-a^2)x=1-a\\$

resolving for x we have that

$x=\frac{1-a}{1-a^2}$

Since we need that the equation doesn't have solution, then it is necessary that the denominator of x be 0 and this occur when $1-a^2=0\\1=a^2\\a=\pm1$