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musickatia [10]
3 years ago
10

Work out the value of a and b in the identity. 3ax + 6 - 4(x + b)= 11x + 14

Mathematics
1 answer:
Levart [38]3 years ago
5 0

Answer:

a=5, b=-2

Step-by-step explanation:

If you simplify the equation, you get:

3ax +6 -4x -4b - 11x - 14 = 0 =>

3ax - 15x -4b -8 = 0

group together x's and constants:

(3a-15)x -8 -4b = 0

To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2

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5y + 2 + 6 + 2y 5y + 2(y + 3) + 2 combining like terms 6y − y + 2y + 10 − 4 + 2 Commutative Property Distributive Property arrow
Paraphin [41]

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition

= 6y − y + 2y + 10 − 4 + 2

The distributive property of multiplication with respect to addition  is the one  which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

4 0
3 years ago
Will someone tell me if these are right or not
Marianna [84]
Looks correct to me :)
8 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
TEA [102]

Answer:12.5

Step-by-step explanation:if its 2.5 for evry 2 units and the glass is 10 units you time and 2 * 5 is 10 and .5 * 5 is 2.5

8 0
3 years ago
Name the property of real numbers illustrated by the equation (x+8)+4=x+(8+4)
FromTheMoon [43]
I think it's commutative property of addition (you can change order of addition but in the end it would be the same)
8 0
4 years ago
Read 2 more answers
Write an equation of the circle with center (3,-2) and radius 6
Lubov Fominskaja [6]

Answer:

\displaystyle (x-3)^2 + (y+2)^2 = 36

Step-by-step explanation:

We want to write the equation of a circle with a center at (3, -2) and a radius of 6 units.

Recall that the equation of a circle is given by:

\displaystyle (x-h)^2 + (y-k)^2 = r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (3, -2), <em>h</em> = 3 and <em>k</em> = -2. <em>r</em> = 6. Substitute:

\displaystyle (x-(3))^2  +(y-(-2))^2 = (6)^2

Simplify:

\displaystyle (x-3)^2 + (y+2)^2 = 36

In conclusion, the equation of the circle will be:

\displaystyle (x-3)^2 + (y+2)^2 = 36

8 0
3 years ago
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