Answer:
The needed line equation is : x + y + 2 = 0
Step-by-step explanation:
The slope m of the given line equation = -1
The points through which the line passes is (1,-3).
Now,as we know:
The POINT SLOPE form of the equation with point (x0,y0) is given as:
y - y0 = m (x-x0)
So, the equation if line q=with m = -1 and (x0,y0) = (1,-3) is given as
y - (-3) = -1( x - 1)
or, y + 3 = 1 -x
or, x + y + 2 = 0
Hence, the needed line equation is : x + y + 2 = 0
turning point of namely U-turn or vertex point, Check the picture below.
Answer:
n + 10
Step-by-step explanation:
im pretty sure thats right, im sorry if not but have a great day!
<u>Answer</u>
<em>12 in by 12 in</em>
<u>Explanation</u>
The original length = x
This makes the length of the cube made to be = x - (2×2)
= (x - 4) in
height of the cube = 2 in
Volume of the cube = (x - 4) × (x - 4) × 2 = 128
= (x² - 8x + 16) × 2 = 128
= 2x² - 16x + 32 = 128
= 2x² - 16x + 32- 128=0
= 2x² - 16x - 96 = 0
= x² - 8x - 48 = 0
lets use the factor method to solve the quadrilatic equation above,
x² - 8x - 48 = 0
proctuct = -48
sum = -8
The two factors are; -12 and 8.
(x + 8)(x - 12) = 0
So the value of x are 12 and -8. Since x is a length, it can not be negative.
∴ x = 12 in.
The original dimensions of the sheet are <em>12 in by 12 in</em>.
Answer:
120 is a composite number. 120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written <em><u>120 = 2³ x 3 x 5.</u></em>
