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Greeley [361]
3 years ago
9

Find the quotient. Write your answer as a mixed number with your fraction in simpliest form.

Mathematics
2 answers:
Likurg_2 [28]3 years ago
8 0

Answer:

327 1/3 that should do it.

Step-by-step explanation:

mihalych1998 [28]3 years ago
4 0
327 1/3
Is simplified to 1/3 because it’s a run on
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PLS HELP ASAP What pattern do you notice about the exponents when dividing two powers with the same base?
Tanya [424]

Answer:

subtract the exponents

Step-by-step explanation:

To divide powers of the same base, you can subtract the exponents.

4 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
PLS HELP ASAP PLZ PLZ PLZ
KIM [24]
I am unsure about the very last problem but I can help with the first two

1) (y+1)+4

If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.

This would give us

y + 5 =

2) (6*r)*7

remember that we do not have to explicitly state 6*r

Instead, we can write it as 6r

this helps us get rid of the parentheses

now we can write it as 6r * 7=

I hope this helps!:)

6 0
3 years ago
Help me please :(*******​
WITCHER [35]

Answer:

m∡2 = 90°

Step-by-step explanation:

diagonals of a rhombus are perpendicular

8 0
3 years ago
What number times another number equals 56
GuDViN [60]
The factors of 56 include
1 by 56
2 by 28
4 by 14
7 by 8
6 0
4 years ago
Read 2 more answers
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