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astraxan [27]
3 years ago
9

What is 3x+2y= -14 In slope-intercept form Explanation please.

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

y = -3/2x - 7

Step-by-step explanation:

Write in slope-intercept form, y = m, x + b. 3x+2y= -14

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If a student pushes a cart 7 meters with a force of 13 Newtons, how much work did the student do?
vlada-n [284]

Answer:

A lot of work

Step-by-step explanation:

8 0
3 years ago
Consider the parabola r​(t)equalsleft angle at squared plus 1 comma t right angle​, for minusinfinityless thantless thaninfinity
kodGreya [7K]

Given:-   r(t)=< at^2+1,t>  ; -\infty < t< \infty , where a is any positive real number.

Consider the helix parabolic equation :  

                                              r(t)=< at^2+1,t>

now, take the derivatives we get;

                                            r{}'(t)=

As, we know that two vectors are orthogonal if their dot product is zero.

Here,  r(t) and r{}'(t)  are orthogonal i.e,   r\cdot r{}'=0

Therefore, we have ,

                                  < at^2+1,t>\cdot < 2at,1>=0

< at^2+1,t>\cdot < 2at,1>=

                                              =2a^2t^3+2at+t

2a^2t^3+2at+t=0

take t common in above equation we get,

t\cdot \left (2a^2t^2+2a+1\right )=0

⇒t=0 or 2a^2t^2+2a+1=0

To find the solution for t;

take 2a^2t^2+2a+1=0

The numberD = b^2 -4ac determined from the coefficients of the equation ax^2 + bx + c = 0.

The determinant D=0-4(2a^2)(2a+1)=-8a^2\cdot(2a+1)

Since, for any positive value of a determinant is negative.

Therefore, there is no solution.

The only solution, we have t=0.

Hence, we have only one points on the parabola  r(t)=< at^2+1,t> i.e <1,0>




                                               




6 0
3 years ago
What reasons justify a solution to a rational equation?
Licemer1 [7]

Answer:

<em><u>A rational equation is an equation containing at least one fraction whose numerator and denominator are polynomials, ... These fractions may be on one or both sides of the equation. A common way to solve these equations is to reduce the fractions to a common denominator and then solve the equality of the numerators.</u></em>

Step-by-step explanation:

<h3><em><u>H</u></em><em><u>o</u></em><em><u>p</u></em><em><u>e</u></em><em><u> </u></em><em><u>i</u></em><em><u>t</u></em><em><u> </u></em><em><u>w</u></em><em><u>o</u></em><em><u>r</u></em><em><u>k</u></em><em><u>s</u></em><em><u> </u></em><em><u>o</u></em><em><u>u</u></em><em><u>t</u></em><em><u> </u></em><em><u>!</u></em><em><u>!</u></em><em><u>!</u></em><em><u>!</u></em></h3>
4 0
3 years ago
How many numbers are there between 100,000 and 120,000 Where the digits are in order from least to greatest no digits can be rep
Fittoniya [83]

I don't really know what you mean by order from least to greatest but all I know is that there are 20,000 numbers in between 100,000 and 120,000.

7 0
4 years ago
Shane decided to dig his garden.On the first fine day,he dug 1/3 of it.On the second day he dug only 1/4 of it before it started
jeka94

Answer:

I think 1/4

Step-by-step explanation:

So, you first should find a common denominator so you can add the fractions together.

So, 1/4 + 1/3 + 1/6 becomes 3/12+4/12+2/12.

Add that up, you get 9/12.

Simplify.

9/12 = 3/4

3/4 is how much is dug out. 4/4 - 3/4 is 1/4. That's how much for digging is left, I believe.

6 0
3 years ago
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