Answer: x=10
Step-by-step explanation: 9 + 4x-12 + 6x = 97
Combine like terms: 6x + 4x and 9-12
10x -3 = 97
Add 3 to both sides
10x = 100
Divide 10 by both sides
X=10
Answer:
72 inches
Step-by-step explanation:
We are given that
Length of rectangle=423 inches
Width of rectangle=360 inches
We have to find the side length of the largest square they can use to fill the checkboard pattern completely without overlap or gaps with the help of Euclid's algorithm.
In order to find the largest side of square we will find HCF (432,360).
Euclid's algorithm
a=dividend
b=divisor
q=quotient
r=remainder
a=432,b=360
HCF(432,360)=72
Hence, the side of largest square=72 inches
Answer:
Not sure if this is what you mean but it might be 4 * 7 = 28
Step-by-step explanation:
Answer:
That would be cosine, or (cos)
Step-by-step explanation:
This is because cosine is Adjacent / Hypotenuse.
Hope that helps, :)
2. x + y = 82
x - y = 24
---------------add
2x = 106
x = 53
x + y = 82
53 + y = 82
y = 82 - 53
y = 29
solution is : (53,29)
=======================
3. y = 2x
y = 4x + 6
2x = 4x + 6
2x - 4x = 6
-2x = 6
x = -3
y = 2x
y = 2(-3)
y = -6
solution is (-3,-6)
========================
4. 5x + 8y = -29
7x - 2y = -67...multiply by 4
----------------
5x + 8y = -29
28x - 8y = - 268 ..result of multiplying by 4
-----------------add
33x = - 297
x = - 9
5x + 8y = -29
5(-9) + 8y = -29
-45 + 8y = -29
8y = -29 + 45
8y = 16
y = 2
solution is : (-9,2)
=======================
5. y = -4x + 6
y = -5x - 4
-4x + 6 = -5x - 4
-4x + 5x = -4 - 6
x = -10
y = -4x + 6
y = -4(-10) + 6
y = 40 + 6
y = 46
solution is (-10,46)
=========================
6. H(m) = 2m + 12
H(m) = 3m + 10
=========================
7. -8x + 4y > -52
4y > 8x - 52
y > 2x - 13 <==
=========================
8. 3x - y = 28
3x + y = 14
---------------add
6x = 42
x = 7
3x - y = 28
3(7) - y = 28
21 - y = 28
-y = 28 - 21
-y = 7
y = -7
solution is (7,-7)
=====================
10. 5x - 5y > 70
-5y > -5x + 70
y < x - 14 <==
=====================
11. sorry...dont know
=====================
12. y = 4x + 4
y = -3x - 3
4x + 4 = -3x - 3
4x + 3x = -3 - 4
7x = -7
x = -1
y = 4x + 4
y = 4(-1) + 4
y = 0
solution is (-1,0)
=======================
13. -12x - 2y > - 42
-2y > 12x - 42
y < -6x + 21 <==
=======================
14. -5x + 2y = 9
3x + 5y = 7
solution is (-1,2)
========================
15. 3x + 6y = -2
15x + 30y = -10....divide by 5 to reduce = 3x + 6y = -2
is the same line....infinite solutions
========================
1. (the graph).....y < = 3x - 4....3rd one
========================
9. (2nd graph)....y < = -3x + 4....last one
