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3 years ago

Find the midpoint of the line segment with given endpoints (-2,2) (-8,4)

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

8 0

((x1+x2)/2 , (y1+y2)/2)

(-2+-8)/2 , (2+4)/2

-10/2 , 6/2

(-5,3)

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What is the slope of the line passing through the points (2, −5) and (4, 1)?

Yuri [45]

Slope =change of y over change of x

(2, −5) and (4, 1)

M= 1-(-5)/4-2

M=6/2

M=3

So the slope is 3.

If you need the equation

Y=mx+b

(4, 1)

1= 3(4)+b

1=12+b

1-12=b

-11=b

So equation

Y=3x-11

8 0

3 years ago

Please help! thanks :)

Molodets [167]

Answer:

118%

Step-by-step explanation:

Cora's kitten weighed in the last visit to the veterinarian's office= 550 grams

Right now, Cora's kitten weighs = 1200 grams

Increase in the kitten's weight= 1200 - 550 = 650 grams

Percent increase in weight= 650/550 * 100

= 118.18% = 118%

Hence, there is 118% increase in kitten's weight.

7 0

3 years ago

How much candy at $1.16 a pound should be mixed with candy worth 86 cent a pound in order to obtain a mixture of 60 pounds of ca

galina1969 [7]

If you had 60 pounds of candy it would be$36.66

8 0

3 years ago

A student is raising money for cancer research. A local business agrees to donate an additional 25% of what the student raises,

Artemon [7]

Answer:

$585

Step-by-step explanation:

Find 25% of $450:

$450 × 0.25 = $112.5 ⇒ this is how much money the business is donating.

Find 5% of $450:

$450 × 0.05 = $22.5 ⇒this is how much money the politician is donating.

Add those two amounts to the amount the student raised:

$450+$22.5+$112.5= $585

6 0

3 years ago

Question 5: prove that it’s =0

mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that $\cos(\frac{2}{x})$ is a variable number between -1 and 1 (inclusive).

This means that $-1 \le \cos(\frac{2}{x}) \le 1$ .

$x^4 \ge 0$ for all value $x$ . So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

$-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

By squeeze theorem, if $-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

and $\lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L$ , then we can also conclude that $\im_{x \rightarrow} x^4\cos(\frac{2}{x})=L$ .

So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at $x=0$ .

$\lim_{x \rightarrow 0}x^4=0^4=0$

$\lim_{x \rightarrow 0}-x^4=-0^4=-0=0$ .

We can finally conclude that $\lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0$ by squeeze theorem.

Some people call this sandwich theorem.

6 0

3 years ago