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Maslowich
2 years ago
10

I’m honestly confused on how to solve for k. please help.

Mathematics
1 answer:
stellarik [79]2 years ago
4 0

Answer:

k=9

Step-by-step explanation:

slope =  \frac{y2 - y1 }{x2 - x1}  \\  \frac{ - 5}{2}  =  \frac{ - 11 - k}{6 - ( - 2)}  \\  -  ( \frac{5}{2} ) =  - ( \frac{11 + k}{8} ) \\  \frac{5}{2}  =  \frac{11 + k}{8}  \\ 5  \times 8 = 2(11 + k) \\ 40 = 22 + 2k \\ k =  \frac{40 - 22}{2}  \\ k = 9

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There is an inverse relationship between x and y. If y is when x is 3, what is x when y is 9?
maria [59]
For example, y = k/x; when x = 3 => k = 3y; when y = 9 => k = 27  and x = 27/9 = 3;
The answer is 3!
3 0
4 years ago
Step 3: Let LM = x. We know the lengths of the radii of each circle, so KL = 12 +
kow [346]

Answer:

Step-by-step explanation:

Step 3:

Let LM = x

OK = KP = 12 units [Radii of circle K]

LN = LP = 8 units [Radii of circle L]

Therefore, KL = KP + PL

KL = 12 + 8

     = 20 units

Step 4:

Since, ΔKOM and ΔLNM are the similar triangles,

By the property of two similar triangles, corresponding sides of these similar triangles will be proportional.

\frac{OK}{NL}=\frac{KM}{LM}

\frac{12}{8}=\frac{x+20}{x}

12x = 8(x + 20) [By cross multiplication]

12x = 8x + 160

12x - 8x = 160

4x = 160

x = 40

3 0
3 years ago
What is the volume of the rectangular prism?
Brums [2.3K]

Answer:

72cm³

Step-by-step explanation:

The volume of the rectangular prism = Base area * Height

Base area = length * width

Base area = 6cm * 3cm = 18cm²

Height = 4cm²

volume of the rectangular prism = 18 * 4

volume of the rectangular prism = 72cm³

7 0
3 years ago
A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the origin
Leno4ka [110]

Answer:

$171

Step-by-step explanation:

A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the original price of the pants?

Let x represent the original price of the pair of pants

From the question, we know that:

10% of x = $17.10

10/100 × x = $17.10

10x/100 = $17.10

Cross Multiply

10x = 100 × $17.10

10x = 1710

x = 1710/10

x = $171

Hence, the original price of the pants = $171

6 0
3 years ago
Please help! I'm timed!​
Rainbow [258]

the answer should be (3,2) since it's in the shaded region

8 0
4 years ago
Read 2 more answers
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