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3 years ago

Y

Mathematics

1 answer:

marysya [2.9K]3 years ago

6 0

Answer: Ryan had a head start of 10 meters.

Step-by-step explanation:

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Explain why the function is discontinuous at the given number

Blizzard [7]

For $f$ to be continuous at $x=5$ , we need to have

$\displaystyle\lim_{x\to5}f(x)=f(5)$

Note that $x\to5$ means that $x\neq5$ , but that $x$ is *approaching* 5. We're told that for $x\neq5$ , we have

$f(x)=\dfrac{x^2-5x}{x^2-25}$

We can write

$\dfrac{x^2-5x}{x^2-25}=\dfrac{x(x-5)}{(x+5)(x-5)}=\dfrac x{x+5}$

and the limit would be

$\displaystyle\lim_{x\to5}\frac x{x+5}=\dfrac5{5+5}=\dfrac5{10}=\dfrac12\neq1=f(5)$

and so $f$ is discontinuous.

5 0

3 years ago

Prove that the value of the expression does not depend on a:<br><br> a−(6a−(5a−8))

djyliett [7]

Step-by-step explanation:

a−(6a−(5a−8))

a-(6a-5a+8)

a-6a+5a-8

6a-6a-8

0-8

=-8

so the answer doesn't depend on a

3 0

2 years ago

(28 POINTS)

cestrela7 [59]

Answer:

(a) $-\sqrt{10}y$

(b) $-\sqrt{3}y$

Step-by-step explanation:

(a) $\sqrt{10y^{2}}$ can also be written as $\sqrt{10}$ x $\sqrt{y^{2}}$

the $\sqrt{y^{2}}$ = ± y

Therefore :

$\sqrt{10y^{2}}$ = ± $\sqrt{10}y$

since it was given that y < 0 , then the factor will be $-\sqrt{10}y$

(b) $\sqrt{3y^{2}}$ can also be written as : $\sqrt{3}$ x $\sqrt{y^{2}}$

Therefore , one of the factor is $-\sqrt{3}y$

3 0

3 years ago

I need the answer for my homework

sergij07 [2.7K]

Answer:

45 for 5 and 34 for 6.

Step-by-step explanation:

You are just subtracting by 11.

7 0

2 years ago

How do I find X in this problem

Alona [7]

Answer: x = 16°

Step-by-step explanation:

This is a right triangle, which means all angles add up to 180°.
One of the angle is already determined to be 90°, that means the sum of the other two angles must also be 90° in order to meet a total of 180°.

This means (x+26)° + 3x° = 90°.

Solve for x:

x + 26 + 3x = 90

x + 3x = 90 - 26

4x = 64

x = 64 ÷ 4 = 16°

7 0

3 years ago

Read 2 more answers