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ASHA 777 [7]
2 years ago
10

Find an equation for the line with the given properties. Express your answer using either the general form or the​ slope-interce

pt form of the equation of a line. Parallel to the line ​; containing the point​ (0,0)
Mathematics
1 answer:
Vladimir [108]2 years ago
3 0

Answer:

y = 7x

Step-by-step explanation:

Complete question:

Find an equation for the line with the given properties. Parallel to the line 7x - y = -7; containing the point (0,0)

The equation of a line in point-slope form is expressed as;

y - y0 = m(x-x0)

(x0, y0) = (0,0)

Given the equation of the line as 7x - y = -7;

Rewrite and get the slope

-y = -7x - 7

y = 7x+7

Get the slope

mx = 7x

m = 7

Substitute into the equation

y - 0 = 7(x - 0)

y = 7x

Hence the required equation is y = 7x

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Q(x)=x^3+ax^2+2b is divided by (x-3) and has a remainder of 4. Find the values of "a" and "b"​
Sati [7]

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0                                                                                      

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)                                                                              

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3                                                                                      

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)                                    

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3                                                                                          

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

Step-by-step explanation:

4 0
2 years ago
The Cia estimates the world population is growing at a rate of 1.167% each year.the world population for 2007 was about 6.6 bill
labwork [276]
Hcvnmbvcchjjhhfgcxgjjbxxghnkn8
5 0
3 years ago
1. A number plus 7 is at most 4.​
nasty-shy [4]

Answer:

-3

4 - 7 = -3.

-3 + 7 = 4.

They are in a fact family.

The answer is -3.

Hope it helps!

3 0
3 years ago
Read 2 more answers
Jack spent half of his weekly allowance on candy to earn more money his parents let him mow the lawn for $7 what is his weekly a
joja [24]
$18. You get this because you subtract 7 from 16 since that’s money he got. You get 9. Since Jack spent half his allowance money, you double the money he had left after spending it, giving you $18.
4 0
3 years ago
A shirt company has 3 designs each of which can be made with short or long sleeves . There are 7 color patterns available. How m
Arlecino [84]

Answer:

There are 42 different types of shirt available for this company.

Step-by-step explanation:

Given:

Number of design Company has = 3

Number of color pattern available = 7

Types of shirt (short or long sleeves) = 2

We need to find the number of different types of shirts are available from this company.

Solution:

the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).

framing in equation form we get;

the number of different types of shirts 3\times7\times2 =42

Hence There are 42 different types of shirt available for this company.

5 0
3 years ago
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