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Yuliya22 [10]
2 years ago
7

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

Mathematics
2 answers:
Natasha_Volkova [10]2 years ago
4 0
First, find the slope between the two points. 
Slope = y2-y1 / x2-x1
-4+3/ -12+9
-1/-3
1/3 is the slope of this equation. 
You do not have to go any further to find b or the y-intercept because it appears that b or the y-intercept is 0 in this case. 
y= 1/3x or in other words y= x/3
MakcuM [25]2 years ago
3 0
(-9,-3)  (-12,-4)   use y2-y1/x2-x1=slope,   (-4+3)/(-12+9)=1/3    y=x/3
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maksim [4K]
If it's -34*0 then it is equal to 0 because anything times 0 is 0.

If it were -34.67 to the power of 0, then It would have been equal to -1. This is because anything to the power of 0 is 1. In this case though the base is negative so it would be -1. 

But the answer is 0.
5 0
2 years ago
Mr. Santos is carpeting his living room. The room measures 21 feet by 15 feet. The carpeting costs $9 per square foot. How much
MariettaO [177]
To solve this problem you must apply the proccedure shown below:
 1- You have that the area of the living room is:
 A=lw (Area of the rectangle); where l is the lengt and w is the width.
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 A=315 feet²
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6 0
2 years ago
Solve the equation -10 (g - 6) = -65
Elanso [62]

Step-by-step explanation:

- 10(g - 6) =  - 65 \\  - 10g + 60  =  - 65 \\  - 10g =  - 125 \\   10g = 125 \\ g =  \frac{25}{2}

5 0
2 years ago
If AD and BD are bisectors of CAB and CBA respectively. Find the sum of angles x and y.
olchik [2.2K]
The picture in the attached figure

step 1
we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2

step 2
In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35

hence

the answer is
x+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]

5 0
2 years ago
Fresh pond has a population of 854 and is increasing by 3 people per year. Strawberry has a population of 427 and is increasing
lawyer [7]

Answer:

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  • Strawberry: p(t) = 427·1.10^t

Step-by-step explanation:

(a) The general term of an arithmetic sequence is ...

  an = a1 + d(n -1)

If we let the sequence of population numbers be modeled by this, and we use t for the number of years, we want n=1 for t=0, so n = t+1 and we have ...

  p(t) = 854 +3(t+1-1)

  p(t) = 854 +3t

__

(b) The general term of a geometric sequence is ...

  an = a1·r^(n-1)

were r is the common ratio. Here, the multiplier from one year to the next is 1+10% = 1.10. Again, n=t+1, so the population equation is ...

  p(t) = 427·1.10^(t+1-1)

  p(t) = 427·1.10^t

3 0
2 years ago
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