4x - 3y = -11
-7x - 8y = 6
We need to cancel out one of the variables so let's multiply the first equation by 8 and the second by 3 and aim to cancel y.
32x - 24y = -88
-21x - 24y = 18
Now we subtract,
53x = -106
x = -2
3y = 4x + 11 = 4(-2) + 11 = 3
y = 1
Answer: (x,y)=(-2,1)
Check:
4(-2) -3(1) = -8 - 3 = -11, good
-7(-2) - 8(1) = 14 - 8 = 6, good
Answer:
<em>The perimeter is c. 28 millimeters</em>
Step-by-step explanation:
<u>The Perimeter of a Square</u>
The perimeter of a square is the sum of all its side lengths. If the side length is L, then the perimeter is:
P = 4L
The diagonal of a square is the hypotenuse of a right triangle with both legs of length L.
Applying Pythagora's theorem, we find the length of the diagonal is:
We know the diagonal of a square is
We can find the side length L:
Simplifying:
L = 7 millimeters
Thus, the perimeter is:
P = 4*7 = 28
The perimeter is c. 28 millimeters
Answer:
x=1
Z=35.4965
assuming you want y to be the height, y=5.916
Step-by-step explanation:
x/height=height/35
35x=y^2
using Pythagorean theorem
y^2+x^2=6^2
y^2+35^2=z^2
substituting for y^2
35x+x^2=6^2
x^2+35x-36=0
(x+36)(x-1)=0
x=1
y^2+x^2=6^2
substitute
y^2+1=36
y^2=35
y=5.916
y^2+35^2=z^2
substitute
35+1225=z^2
z^2=1260
z=35.4965
Answer:
19x - 32
Step-by-step explanation:
8[x-7]+11[x+8} distribute the 8 and 11
8x - 56 + 11x + 88 combine like terms
19x - 32
Answer: 0
35X +14=3X +14
35X = 3X
35X-3X=0
32X = 0 divide both sides by 32
x=0