True
-1, -2, -4, -8, ... is the non-arithmetic sequence. It’s geometric as there’s a common ratio of 2.
A simple algebraic equation can be utilized to solve this question. Ayana needs yards of blue fabric for each scarf.
Step-by-step explanation:
Step 1; Assume the amount of purple fabric to be x for each scarf and the amount of blue fabric required for each scarf to be y. It says a total of six scarves are needed. It is given that a total of 10 yards of fabric is used i.e. the total of purple fabric and the blue fabric. So we can create an equation for this. As 6 scarves are needed we substitute x and y as 6x and 6y.
Total fabric used= 6x + 6y = 10 yards.
Step 2; It is given that for each and every scarf 1 yards of purple fabric is needed. So for 6 scarves a total of 6 * 1 yards is needed. So 6x becomes 6 * 1 yards.
6x = 6 * 1 yards = 6 * = yards of purple fabric.
Step 3; Now we solve for the amount of blue fabric needed.
6y = 10 - = =
But the yards is for 6 scarves to we divide it by 6 to get the material needed for a single scarf
y = /6 = * = = yards = 0.4166 yards of blue fabric for each scarf.
5-12 is the answer for 520 5-06
V = a²h/3
Plugging values in we get 8.67X10^7, or 86,700,000
Answer:
y = -4x-21
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.
Parallel lines have the same slopes. So let's find the slope of y=-4x-1.
The line is written in the form y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.
It's also the slope of the line parallel to that line.
Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).
We can substitute those values into the formula for point-slope form, which is , where m is the slope and is a point.
We can label the values of everything to help us avoid confusion.
m=-4
Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,
Now simplify.
On the right side, do the distributive property.
y+5=-4x-16
Subtract 5 from both sides.
<u>y=-4x-21</u>
Hope this helps!