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True [87]
3 years ago
14

5

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

Given:

The graph of a line.

To find:

The equation of the given line.

Solution:

From the given graph, it is clear that the line passes through the points (0,-2) and (2,0). So, the equation of the line is :

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-(-2)=\dfrac{0-(-2)}{2-0}(x-0)

y+2=\dfrac{2}{2}(x)

y+2=x

Subtracting 2 from both sides, we get

y+2-2=x-2

y=x-2

Therefore, the correct option is B.

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A sequence is generated by the formula ax = 3x + 4. What is the value of the seventh term?
lyudmila [28]

Answer:

25

Explanation:

We are given the sequence formula expression;

ax = 3x + 4

You are to get the 7th term. This is gotten by substituting x = 7 into the expression as shown;

a7 = 3(7) + 4

a7 = 21 + 4

a7 = 25

Hence the seventh term of the sequence is 25

5 0
1 year ago
12345678910111213141516
Galina-37 [17]

Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

4 0
2 years ago
Someone help me with this !!!
charle [14.2K]

Answer:

150°

Step-by-step explanation:

to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n

N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12

I= (12-2)×180/12 which simplifies to 10×180/12

10×180= 1800

1800/12 = 150

so, an individual interior angle of a dodecagon is 150°

6 0
3 years ago
A certain star is 2.6×102 light years from the Earth. One light year is about 5.9×1012 miles. How far from the earth​ (in miles)
navik [9.2K]

Answer:

2.5 x 10^{15} miles

3 0
2 years ago
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