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Goryan [66]
2 years ago
11

50 POINTS AND BRAINLIEST!!!! PLEASE HELP IT'S IMPORTANT!!!!!

Mathematics
1 answer:
zvonat [6]2 years ago
7 0

Answer:

p=7

q=9

r=13

Step-by-step explanation:

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4 0
3 years ago
what is the slope of the line that passes through the points (4,10) and (1,10) write your answer in simplest form​
kipiarov [429]

Answer:

all work is shown and pictured

8 0
3 years ago
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
Aimee must add together the following numbers:3.50 + 4.00 + (−1.25) + (−7.50) + 5.25 + 2.00As her first step, Aimee writes:(3.50
vladimir2022 [97]

The answer is 'C' <em>Aimee used the Associative and Commutative Properties to put numbers that are easy to add next to each other. </em>

<em>  </em>  I hope you have a nice day!

8 0
3 years ago
Read 2 more answers
What is 4 and 1/2 times 2 ????
strojnjashka [21]

4 1/2 times 2 equals to 9.

it is the same as 4 1/2 plus 4 1/2 and 4 plus 4 is 8 and 1/2 plus 1/2 is 1 and 8 plus 1 is 9

answer is 9

7 0
3 years ago
Read 2 more answers
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