Answer:
C; 4
Step-by-step explanation:
Mathematically, when two lines are perpendicular, the product of their slopes equal -1
in that case, we have it that;
m1 * m2 = -1
where m1 is the slope of the first line and m2 is the slope of the second line
Hence,
m2* -1/4 = -1
-m2/4 = -1
-m2 = -4
m2 = 4
9514 1404 393
Answer:
c. x = 7-t; y = -1/(t -7)
Step-by-step explanation:
To find the parametric equation for x, use the equation for t and solve for x.
t = 7-x
x = 7 -t . . . . . . add x-t to both sides
__
To find the parametric equation for y, substitute the equation for x.
y = 1/x
y = 1/(7-t)
To make this match the available choices, we need to multiply numerator and denominator by -1.
y = -1/(t -7)
The parametric equations are ...
x = 7 -t; y = -1/(t -7) . . . . . . matches choice C
Our equation for the area of a rectangle is l x w = A (length times width equals area)
We know that l=w+20 so we can plug this into our equation.
It is now, (w+20) x w =800
We can then solve for w
w^2 +20w =800
We can subtract 800 on each side to get
w^2 +20w - 800 =0
We then factor to get
(w-20)(w+40)=0
This gives us w =20 and w = -40
Width cannot be negative so our width will be 20 feet
Since our length is 20 more than this, then our length will be 40feet
So the dimensions of the rectangle are 20 ft wide by 40 ft long
Answer:
10 cm cubed or 10^3cm
Step-by-step explanation:
Answer:
There are a total of twelve possible outcomes. This is because flipping a coin has two possible outcomes (either heads or tails) and rolling a number cube has 6 of them (1-6) so 2 times 6 is 12.
If you want to draw a tree diagram, first split your tree into two branches, one for heads and one for tails. Then, split both branches into 6 sub-branches each, so each branch has a full set of numbers from 1-6.
Or you can do it the other way around, first split your tree into 6 branches, then split all branches into 2 sub-branches each.
hope this helps :)
