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Allisa [31]
2 years ago
6

What is an equation of the line that passes through the point (-2,-6) and is parallel to the line x+2y=8x+2y=8?

Mathematics
1 answer:
poizon [28]2 years ago
3 0

Answer:

y= -x/2-7

Step-by-step explanation:

We need to write an equation of the line that passes through the point (-2, -6) and is  parallel to the line x + 2y = 8

We need to find slope m and y-intercept b for the new line.

First we need to find slope m of the new line.

The given line x+2y=8 is parallel to new line.

When lines are parallel, there slope is same.

First writing equation in slope-intercept form:  where m is slope and b is y-intercept

Now comparing with  the slope is :

Now finding y-intercept b

Using point (-2,-6) and slope  we can find y-intercept

So, we get y-intercept b = -7

Now the equation of required line having slope  and y-intercept b = -7 is:

So, the equation of new line is:

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if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240​
melisa1 [442]

Answer:

C. b²< 40

Step-by-step explanation:

2x²+ bx + 5=0 has no real solutions

=> D< 0

b² < 4ac

b²< 4(2)(5)

b²< 40

6 0
3 years ago
A new club sent out 231 coupons to boost sales for next year's memberships. They provided 6 times as many to potential members t
grin007 [14]

Answer:

Number of coupons sent  to Existing members = 33

Step-by-step explanation:

Number of coupons sent out = 231

Let :

6 times as many to potential members = 6 * X = 6X

while existing members = X

therefore 6X + X = 231

                 7X = 231

therefore  X = 231 / 7 = 33

so existing members = 33

while potential members = 6 * 33 = 198

7 0
3 years ago
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Answer:

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Step-by-step explanation:

Check the sides

6 0
2 years ago
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ira [324]
6. three kids and four adults
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3 years ago
A 100-gram sample of a radioactive isotope decays at a rate of 6% every week. How much of the sample will be left one year from
Dvinal [7]

4 grams sample will be left after 1 year

Step-by-step explanation:

The decay function for percentage decay is given by:

y =a (1-r)^x

Here,

a is the initial value

r is the rate

x is the number of time periods

Given

Initial value = 100 grams

Rate = 6% = 0.06

Time = 1 year = 52 weeks

Putting the values in the formula

y = 100 (1-0.06)^{52}\\y = 100(0.94)^{52}\\y = 4.00\ grams

Hence,

4 grams sample will be left after 1 year

Keywords: Decay, percentage

Learn more about decay functions at:

  • brainly.com/question/103144
  • brainly.com/question/10382470

#LearnwithBrainly

7 0
3 years ago
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