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grin007 [14]
3 years ago
15

What is slope intercept form?​

Mathematics
2 answers:
Leokris [45]3 years ago
7 0

Answer: y=mx+b

Step-by-step explanation:

Nataly_w [17]3 years ago
3 0

Answer:

Slope intercept form is y=mx+b

m= the slope

b= the y intercept

so basically if I had a slope of 3/1 and a y intercept of 7 and I wanted to write it in slope intercept form I would put:

y=3x+7

if your y intercept is a negative, you would just put -b instead of +b

If you wanted to graph it:

-slope is the rise over run

-y intercept is where a line meets the y axis

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A colony of 2^120 bacteria occupies a total volume of 1.3*10^15*m^3
finlep [7]
The complete question is 
A colony of  <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts​ (a) and​ (b) below. </span>

<span>a) Assume that the bacteria are distributed uniformly over the​ planet's surface. How deep would the bacterial layer​ be? (You can find the approximate depth by dividing the bacteria volume by the​ planet's surface​ area.) </span>
<span>____m </span>

<span>b) Would the bacteria be​ knee-deep, more than​ knee-deep, or less than​ knee-deep? </span>

<span>A. The bacteria would be less than​ knee-deep. </span>
<span>B. The bacteria would be more than​ knee-deep. </span>
<span>C. The bacteria would be​ knee-deep. </span>
<span>D. It depends on the height of the person
</span>
Part a) 
Find the approximate depth 
<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m 
</span>
the answer Part a) is 
2.4 m

Part b) 
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height. 
<span>2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans
</span>
therefore

the answer part b) is the option
D. It depends on the height of the person
8 0
3 years ago
Find the area of this kite.<br> 3 m<br> 5 m<br> 6 m<br> 5 m
miv72 [106K]
The area of the kite in the picture is 5m
3 0
3 years ago
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Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2
ivanzaharov [21]

Answer:

اhello : tan θ = - 12/5

Step-by-step explanation:

tan θ = sin θ / cos θ .... (*)

(cosθ)² + (sinθ)² = 1   ... (**)

theta is in quadrant 2 : cosθ ≤ 0

Substitute sinθ = 12/13  into (**) and solve for cosθ :

(cosθ)² + (12/13)² = 1  

(cosθ)²  = 1   - 144/169

(cosθ)²  = 25/169

cosθ = - 5 /13  because  cosθ ≤ 0

by (*) : tan θ = (12/13)/ (-5/13) = (12/13) ×(-13/5)

tan θ = - 12/5

3 0
3 years ago
Solve the equation by factoring 2x^2+7x=4
Softa [21]

Answer:

x = - 4 , x = \frac{1}{2}

Step-by-step explanation:

given 2x² + 7x = 4

rearrange into standard form : ax² + bx + c = 0 : a ≠ 0

subtract 4 from both sides

2x² + 7x - 4 = 0 ← in standard form

Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term, that is

product = 2 × - 4 = - 8 and sum = + 7

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use these factors to split the middle term

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2x(x + 4) - 1(x + 4) = 0 ( take out the common factor (x + 4) )

(x + 4)(2x - 1) = 0

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2}


6 0
3 years ago
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rjkz [21]

Answer:

471.24

Step-by-step explanation:

The formula for circumference is 2×pi×r. Replace the r with 75 and multiply.

8 0
2 years ago
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