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3 years ago

- (6,1),(-6,1) What is the slope

Mathematics

1 answer:

pashok25 [27]3 years ago

6 0

Answer:

Step-by-step explanation:

m = y₂ - y₁/ x₂-x₁

= 1 - 1 / -6-6 = o

Slope = 0

Line will be parallel to x- axis

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time

kari74 [83]

5 months for it 5 times 250= 1250

7 0

3 years ago

Read 2 more answers

Pls answer fast (√3 + √11)² + (√3 - √11)²

Masja [62]

(√3 + √11)² + (√3 - √11)²

(a+b)² = a² + b² + 2ab
( a - b )² = a² + b² - 2ab

Now ,

(√3 + √11)² + (√3 - √11)²

(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)

14 + 2√33+ 14 - 2√33

14 + 14 = 28

Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .

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2 years ago

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I could really use your help , 25 POINTS!!

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since line AB and CD make all right angles (given) angles 6+7+8 will equal 90 degrees.

According to the verticle angles rule:

angle 2 is equal to angle 6

angle 3 is equal to angle 7

angle 4 is equal to angle 8.

which proves that angle 2+4+7=90 degrees

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3 years ago

A rectangular picture has dimensions of 8 in by 12 in this picture is placed in a picture frame with thick border to Listen to B

rosijanka [135]

Answer: 6

Step-by-step explanation:

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3 years ago