If lines are parallel, slopes are equal
If lines are perpendicular, the product of the slopes is -1.
The formula to find the slope is
1)
Here P (a, b) & Q(c,d)
Slope of PQ
Also P'(-b, a) & Q'(-d,c)
Solpe of P'Q'
Now slope of PQ × Slope of P'Q'
As the product of slopes = -1.
PQ & P'Q' are perpendicular to each other.
2)
P(w,v), Q(x,z)
Slope of PQ
P'(w+a, v+b), Q' (x+a, z+b)
Slope of P'Q'
Hence slope of PQ = Slope of P'Q'
Hence PQ is parallel to P'Q'
Answer:
She has 499.3$
Step-by-step explanation:
870+35.90+35.90+150-82.50-10-500
Answer:
a. ∀ x≤0 ∧ ∀ y ∈ IR + ∪ 0
b. ∀ x≤0 ∧ ∀ y ∈ IR -
c. ∀ x≤0 ∧ ∀ y -∞ → +∞
Step-by-step explanation:
P=4l ⇒ 28=4l ⇔ l=28/4 =7
A=l.l=7*7=49
As can be seen in the graph so that x is negative, it must be fulfilled that its values are located in the second and third quadrants and their values must be less than zero and also the values of y can be all positive and negative real numbers
Possible coordinates:
a. ∀ x≤0 ∧ ∀ y ∈ IR + ∪ 0
for all x less iqual than zero and all positive real y including zero
b. ∀ x≤0 ∧ ∀ y ∈ IR -
for all x less iqual than zero and all y negative reals
c. ∀ x≤0 ∧ ∀ y -∞ → +∞
for all x less equal than zero and all y from minus infinite to plus infinite
Answer:
C.
Step-by-step explanation:
Even though it is absolute value, 17 is still the greatest answer. If a number is in absolute value it will never be negative, only positive values can come out of an absolute value.
An example for absolute value would be if you had to measure the amount of distance away from something, even if its behind you, it would still be a positive number of length away from you.
If you had the absolute value of -25, it would automatically be equal to 25.
So circling back to the original problem, the absolute value of 17 would be greater than 3, -4 and -8. If (hypothetically) it was the absolute value of -17 it would still be greater because it would equal 17.
I hope that made sense, im sorry that it's a bit lengthy. Have a good day :)
Answer:
Let the distance from home to the park be x
Going to the park
Distance=vt
x=14t¹ ——(1)
Going back home
x=10t² ——(2)
Total time=t¹+t²
2.5=t¹+t²
Solving equ. 1 and 2 simultaneously
10x=140t¹
14x=140t²
Adding
4x=140(t¹+t²)
24x=140(2.5)
x=14.58 miles
Total distance= 2x
= 29.16miles
Step-by-step explanation: