Answer:

Step-by-step explanation:
The vertex form of an equation of a parabola:

(h, k) - vertex
We have

We must use the formula: 

Use the distributive formula a(b + c) = ab + ac

Answer:
-60
Step-by-step explanation:
-3 x -4 x -5
12 x -5
-60
negative x negative x negative= negative
Answer:
The unit rate is accurately
(km/minute)
Step-by-step explanation:
(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.
The unit rate for this problem is also known as the speed of the vehicle.
So to find the speed, you need to use distance over time.
---> Unit rate:
/ 1 =
(km/minute)
(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.
Same process:
---> Unit rate:
/ 2 =
Because of this, the unit rate is accurately
(km/minute)
Answer:
Shorter piece length is 18 inches
Step-by-step explanation:
Let's marked first piece with x and second with y
x + y = 42
Given ratio is x : y = 3 : 4
From this proportion we get
x = 3 c and y = 4 c where c is coefficient of proportionality
when we replace this in initial equation we get
3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6 c = 6
x = 3 · 6 = 18 inches and z = 4 · 6 = 24 inches
shorter piece is x = 18 inches
God with you!!!
Answer:
NO
Step-by-step explanation:
Note :
Consider a triangle with sides‘s length a , b and c
triangle inequalities state that we must have c - a < b < c + a
now , is the third side always the longest ?
the answer is NO: (let’s take a counter example )
in a triangle with 2 sides‘s length 3 , 4
the third side could measure 2
because 4-3 < 2 < 4+3