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lorasvet [3.4K]
3 years ago
15

What is the common difference of 7, 3,-1,_,_,-13​ and the missing terms

Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0
It would be -5, then -9
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UkoKoshka [18]

Answer: first open your mouth then hold the pear and put it inn your mouth then chew then it will go down your thought

Step-by-step explanation:

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2 years ago
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Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
If the passes through points (-4,-6) and ( 2 ,6), the rate of change of the line is equal to
Delvig [45]

Answer:

2

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(6 + 6) / (2 + 4)

12/6

= 2

So, the rate of change is 2

6 0
3 years ago
Suppose f(x) = 12x – 1,400 and g(x) = 12x – 1,535. Describe the transformation of the graph of f to the graph of g. Group of ans
m_a_m_a [10]
The graph is translates down 135 units, because you can see how the y-intercept decreased by 135 units from f(x) to g(x).
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3 years ago
Two sporting goods stores are having discount sales on basketballs at one store a basketball is on sale for 25% off the regular
Reil [10]

Answer:

0.66

Step-by-step explanation:

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24.94 - 6.23 = 18.72

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25.80 - 7.74 = 18.06

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2 years ago
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