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Katyanochek1 [597]
3 years ago
15

If y varies directly as x and x=2 when y=−4, find y when x=−6.

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0

Answer:

Equation: x × -2 = y

Solution: y = 12

Step-by-step explanation:

if (x = 2) is (y = -4) then (x = 1) is (y = -2) so if (x = -6) is (y = 12) if we follow the equation [x × -2 = y] which was found using the first set of variables and dividing each by 2.

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3. Connie bought several types of candy for Halloween: Milky Ways, Tootsie Rolls,
devlian [24]

Answer:

Tootsie Rolls = 13

Step-by-step explanation:

Given:

Milky Ways and Tootsie Rolls together were 15 more than the number of Reese's Cups.

There were 4 fewer Reese's Cups than Hershey Bars.

There were 12 Milky Ways and 14 Hershey Bars.

Solution

Milky Ways and Tootsie Rolls = Reese's Cups + 15

There were 4 fewer Reese's Cups than Hershey Bars.

Hershey Bars = 14

Then,

Reese's Cups = 14 - 4

= 10

Milky ways = 12

Hershey bars = 14

Reese's Cups = 10

Milky ways = 12

Milky Ways + Tootsie Rolls = Reese's Cups + 15

12 + Tootsie Rolls = 10 + 15

12 + Tootsie Rolls = 25

Subtract 12 from both sides

Tootsie Rolls = 25 - 12

= 13

Tootsie Rolls = 13

7 0
3 years ago
If using the method of completing the square to solve the quadratic equation x^2-4x+10=0,which number would have to be added to
chubhunter [2.5K]

Answer:

4

Step-by-step explanation:

Given

x² - 4x + 10 = 0

subtract 10 from both sides

x² - 4x = - 10

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = - 10 + 4

(x - 2)² = - 6

To complete the square add 4

5 0
3 years ago
HELP PLEASE !!!
enot [183]

Given: m ∠3 = m ∠4

To Prove: ∠1, ∠2 are supplementary .

Proof : m ∠3 = m ∠4    ( Given)                                              ------------(1)

m<2 + m< 3 = 180 degrees  ( <2 and <3 form a linear pair). ----------(2)

m< 4 = m<1                            (Vertical angles are equal)       -----------(3).

Substituting, m<4 =m<1 in (1), we get

m ∠3 = m ∠1.

Now, substituting m ∠3 = m ∠1 in (2), we get

m<2 + m< 1 = 180 degrees.

Sum of m <1 and m<2 is 180 degrees.

Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>


3 0
3 years ago
Read 2 more answers
What is the prime factorization of 43? Enter your answer as a product of prime numbers, like 2 x 3 or as a single prime number,
storchak [24]

Answer:

43

Step-by-step explanation:

43 is a prime number

7 0
3 years ago
Help me on this question
NeX [460]

Answer:

x = 18

Step-by-step explanation:

Vertically Opposite Angles are equal..

so,

x + 54 = 4x \\ 54 = 4x - x \\ 54 = 3x \\  \frac{54}{3} =    \frac{3x}{3}  \\ 18  = x

4 0
3 years ago
Read 2 more answers
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