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Andrei [34K]
4 years ago
7

Choose the equation below that represents the line that passes through the point (7, -2) and has a slope of -3

Mathematics
1 answer:
Norma-Jean [14]4 years ago
7 0

Answer:

Option C

Step-by-step explanation:

All of these equation have a slope of x=-3, as this is the only number that will be acompanied by an x (the slope of a function is the number on the equation that has an X). To know which one of this equations passes through the points (7;-2) we can supplant these numbers on each equation until the result at both sides are equals.

The correct answer is the option c, because if we supplant these numbers (x=7 and y=-2) on the equation, we get an equality.

y + 2  = -3. (x - 7) // -2 + 2 = -3. (7 - 7) //0 = 0

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Find two consecutive odd integers such that 32 more than the lesser is three times the greater​
Maslowich

Answer:

First odd number  = 13

Second odd number  = 15

Step-by-step explanation:

Let

First odd number  = 2x + 1

Second odd number = 2x + 3

According to given conditions:

32 + 2x + 1= 3 (2x + 3)

33 + 2x = 6x + 9

Taking terms with x to left and constants to right

2x - 6x = 9 - 33      (sign of transferred terms will be changed)

-4x = -24    

Dividing both sides by -4

x = -24/-4

x =6

So,

First odd number  = 2x + 1 =  2*6 + 1 = 12 + 1 =13

Second odd number = 2x + 3= 2*6 +3= 12 + 3 = 15

I hope it will help you!

4 0
4 years ago
Johnny uses 2-inch square tile to make a square, as shown below. What is the perimeter of Johnny's square? there are 3 2-inch ti
Monica [59]
So,

If we visualize it, we can see a 3 x 3 square, with each unit representing 2 in.

If we do simple multiplication, we can figure out that each side is 6 in. long.

Fourfold of 6 in. reveals the perimeter: 24 in.
4 0
4 years ago
What is the ratio of the area of sector ABC to the area of sector DBE?
shusha [124]

We have to find the" ratio of the area of sector ABC to the area of sector DBE".

Now,

the general formula for the area of sector is

Area of sector= 1/2 r²θ

where r is the radius and θ is the central angle in radian.


180°= π rad

1° = π/180 rad


For sector ABC, area= 1/2 (2r)²(β°)

= 1/2 *4r²*(π/180 β)

= 2r²(π/180 β)

For sector DBE, area= 1/2 (r)²(3β°)

= 1/2 *r²*3(π/180 β)

= 3/2 r²(π/180 β)

Now ratio,

Area of sector ABC/Area of sector DBE =\frac{2r^{2}*\ \frac{\pi}{180} beta}{3/2 r^{2}*\ \frac{\pi}{180}beta}

= 4/3

7 0
4 years ago
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Answer:

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3 years ago
139.35 as a fraction
grin007 [14]

the answer should be 13935/100


5 0
4 years ago
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