We will be using the formulas:
speed=distance/time
time=distance/speed
distance=speed×time
First let's find out Diane's rate of swimming. We can measure this by finding the slope (y/x) of a given coordinate on the graph. One point is (10,15), so you do 15/10=1.5m/s
Now for Rick's rate of swimming, just take a pair of values from the table. 12.5/10=1.25m/s
By the way m/s is metres per second for this
So at a constant speed of 1.5m/s, Diane swam 150m in 150/1.5= 100 seconds, or 1 minute 40 seconds
And at a constant speed of 1.25m/s, Rick swam 150m in 150/1.25= 120 seconds, or 2 minutes.
So the difference between their two times is 20 seconds
Answer:
61 degrees.
Step-by-step explanation:
As long as the two figures are congruent, angle P corresponds to angle T, angle [cut off but it says 93 degrees] corresponds to angle U, angle N corresponds to angle V, and angle M corresponds to angle S.
Since we already have the value of T, we know the value of P. The measure of angle P is 61 degrees.
Hope this helps!
Answer:
√89 or 9.43 units is the distance between Sophia's house and library
Step-by-step explanation:
H (1 ,1) ⇒ House
L(6 , 9) ⇒ Library
Leg₁ = OH = 6 - 1 = 5 units
Leg₂ = OL = 9 - 1 = 8 units
<h3> Pythagorean theorem;</h3>
Hypotenuse² = leg₁² + leg₂²
= 5² + 8²
= 25 + 64
= 89
hypotenuse = √89 units (radical form)
hypotenuse = 9.43 units
Answer:
option B and C
Step-by-step explanation:
Lets check each function
Lets simplify 
factor the numerator


Cancel out x+5 so we are left with x-5
When x=-5 then f(x) = x-5= -5-5 = -10
To make the function continuous at x=-5 the value of f(x) should be -10
So option B is correct
Now we check with option C and D
Lets simplify 
factor the numerator


Cancel out x+5 , so we are left with x+5
When x=-5 then f(x) = x+5= -5+5 = 0
To make the function continuous at x=-5 the value of f(x) should be 0
So option C is correct
Answer:
56
Step-by-step explanation: so 5+6=11, 65 is th
reverse of 56, 56+9=65