Answer:
y = -4x - 10
Step-by-step explanation:
y-6=-4(x+4)
1: distributive property
y-6= -4x - 16
2: add 6 both sides
y = -4x - 10

it just so happen that √2 is an irrational number, so any product with it as a factor, will yield an irrational number as well.
factoid: Ancient Greeks were scared of irrational numbers, and they steered clear from √2.
420 inches and 35 feet
length of trim required = 84 × 5 = 420 inches
using 12 inches = 1 foot then
= 35 feet
Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
<em>Expand:</em>
45= W² +4W
<em>-45 on both sides:</em>
W² +4W -45= 0
<em>Factorise:</em>
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
Answer:
1/7
Step-by-step explanation:
The left over fraction is divided among the three children as follows
Given
Left over as 3/7
Number of children 3
Quantity each gets will be 3/7÷3
3/7÷3=3/7*1/3=3/21
By simplyfying the fractions, 3/21 when both the numerator and denominator are divided by 3 we obtain that 3/21=1/7
Therefore, each child geta 1/7