Y=4x-3
M of new line = -1/4
y=(-1/4)x+b
3=(-1/4)(-3)+b
3=(3/4)+b
b=9/4
y=(-1/4)x+(9/4)
Given :
Liam has a bag of b beads.
He gives 20 beads to his sister.
He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads.
To Find :
Write an expression that represents the number of beads on each necklace.
Solution :
Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).
Number of beads on each necklace using all of the remaining beads is :

Hence, this is the required solution.
The value of
which satisfies the given quadratic equation is 4 and -6.
Given-
The given quadratic equation is.

Rewrite the given quadratic equation in the standard form,

Factorize the equation to find the value of
. Apply the middle term splitting method. The above equation can be rewritten as,




Hence, the value of
which satisfies the given quadratic equation is 4 and -6.
For more about the quadratic equation, follow the link below-
brainly.com/question/2279619
<u>Answer:</u>
x = 21.7°
<u>Step-by-step explanation:</u>
We know that the sum of the three angles in triangle add up to a total of 180°.
So adding the given expressions of angles and putting them equal to 180 to find the value of x:






Therefore, the value of x in a triangle with angles 3x-5, 2x+20, 4x-30 is equal to 21.7°.
The slope of GH is 1, so any line parallel to GH will have the same slope.
Since this other line passes through (-5,6), you can use the point-slope formula:

so you are correct.