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Veseljchak [2.6K]
3 years ago
7

What does m and b stand for in y=mx+b?

Mathematics
2 answers:
sasho [114]3 years ago
6 0
B is where the line crosses the y axis
goldfiish [28.3K]3 years ago
4 0
Its called slope-intercept form. m is the slope where the lines cross and b is the y- coordinate of the y-intercept.
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EleoNora [17]

Answer:

ummmmmm peace out

Step-by-step explanation:

8 0
3 years ago
David weighs 20 pounds more than katie while jonathan weighs 120 pounds less than three times katie's weight if david and jonoth
ladessa [460]
D = k + 20
j = 3k - 120
d = j

k + 20 = 3k - 120
20 + 120 = 3k - k
140 = 2k
140/2 = k
70 = k.....so Katie weighs 70 lbs

David and Johnathan each weigh 90 lbs
3 0
3 years ago
Create a matrix for this system of linear equations, The determinant of the coefficient matrix is
marin [14]

Answer:  The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation:  The given system of linear equations is :

2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.

Now, from equations (ii) and (iii), we have

x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.

From equations (iv) and (v), we get

y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0
3 years ago
How do you factor binomials using difference of squares?
Ket [755]

I have solved some examples in the picture

If anything is unclear let me know.

:)

6 0
3 years ago
Monica needs to increase her savings by 20%. If she has $85 already in her savings account, how much does she need to add?
Anarel [89]
20% = .2
85 x .2 = 17
she needs to add $17
6 0
3 years ago
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