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3 years ago

Mark commutes to work on his bicycle

Mathematics

1 answer:

SpyIntel [72]3 years ago

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Find the value c that completes the square for x^2-8x+c

Blababa [14]

Answer: 16

Step-by-step explanation:

$x^2-8x+c$

Let's complete the square.

$c=(\frac{b}{2})^2$

$c=(\frac{-8}{2})^2$

$c=(-4)^2\\ c=16$

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3 years ago

Henry and 28 classmates go to the roller skating rink . Each van can hold 11 students . If all of the vans are full except one h

Rudik [331]

You divide 29:11= 2 7/11
so you have 2 full vans and one with 7 students.
so the answer is 7

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3 years ago

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Lim x-1 x2 - 1/ sin(x-2)

balu736 [363]

Answer:

$\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=0$

Explanation:

Assuming the correct expression is to find the following limit:

$\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}$

Use the property the limit of the quotient is the quotient of the limits:

$\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=\frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}$

Evaluate the numerator:

$\frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}=\frac{1^2-1}{\lim_{x \to1}sin(x-2)}=\frac{0}{\lim_{x \to 1}sin(x-2}$

Evaluate the denominator:

Since $\lim_{x \to1}sin(x-2)\neq 0$

$\frac{0}{\lim_{x \to1}sin(x-2)}=0$

4 0

3 years ago

Find the slope between the points (-3, -2) and (5, 4) (type in integer or reduced fraction you found only)

DiKsa [7]

Answer:

The slope is: $\frac{3}{4}$

Step-by-step explanation:

The equation for slope is:

$m=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }$

Point 1: -3= $x_{1}$ , -2= $y_{1}$

Point 2: 5= $x_{2}$ , 4= $y_{2}$

4-(-2)=6

5- (-3)=8

6/8=3/4

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3 years ago

Find the number of pens

Semenov [28]

There are 44 pens in all

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3 years ago