Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
Answer:
1680
Step-by-step explanation:
Number of distinct Toppings wanted = 4
Total number of vegetarian topping = 8
To choose 4 distinct toppings from a total of 8
Using permutation :
nPr : n! (n - r)!
8P4 = 8! / 4!
8P4 = (8*7*6*5)
8P4 = 1680
Answer:
I don't believe so because congruent shapes are exactly the same but a side measurement could be the same on a square and a triangle but those aren't congruent shapes
I hope this helped!
You didn't show us much of the page with the question on it,
so we can't be sure of exactly what you're working on in math.
If you're working with things like squares and rectangles, then
'L' and 'W' are often used to represent the Length and Width of
shapes drawn on paper, or even Length and Width of 3D objects
like blocks or boxes.
12 gallons of gas can be bought from $30 where gas costs $2.42 per gallon.
<u>Solution:</u>
The gallons of gas bought can be calculated by dividing the total amount possessed by cost of gas per gallon.
Here total amount possesses is $30 and cost of gas per gallon is $2.42.
Gallons of gas bought = 
