Answer:
m = -3
Step-by-step explanation:
The formula to find the slope of the line is :
slope = m = 
Given that the two coordinates of the line are :
( -1 , - 7 ) ⇒ ( x₁ , y₁ )
( 1 , -13 ) ⇒ ( x₂ , y₂ )
<u>Let us solve now.</u>
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
m = ( -7 - ( -13)) ÷ ( -1 - 1 )
m = ( -7 + 13 ) ÷ ( -2 )
m = 6 ÷ -2
<u>m = -3 </u>
Answer:
w = 7 cm
Step-by-step explanation:
Volume = 252 cm³
Height, h = 3cm
Let width = w
Length, l = w + 5
Volume of rectangular prism, V = l * w * h
252 = (w + 5) * w * 3
252 = (w + 5) * 3w
252 = 3w² + 15w
3w² + 15w - 252 = 0
w² + 5w - 84 = 0
w² + 12w - 7w - 84 = 0
w(w + 12) - 7(w + 12) = 0
(w + 12) = 0 or (w - 7) = 0
w = - 12 or w = 7
w cannot be negative
Hence, w = 7 cm
Answer:
the idea behind the recurring decimal as a fraction, is to first off, multiply or divide by some power of 10, in order that we leave the recurring decimal to the right of the decimal point.
then we multiply by a power of 10, in order to move the repeating digits to the left of the decimal point, anyhow, let's proceed.
notice, we first divided by 10, to move the decimal point over to the right by 1 slot, then we multiplied by 100, to move it two digits over the decimal point, namely the repeating "12", thus we use 100. i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x+2y=22
3x-2y=2
we add these to equations together
6x=24
x=4
then we plug in x to find y
3*4+2y=22
12+2y=22
2y=10
y=5
solution is (4,5) (x=4 and y=5)
