Answer:
240
Step-by-step explanation:
45÷3=15
15×16=240
Answer:
)
Step-by-step explanation:
This system we can solve by substitution method :
y=13x-1
y=9x+4
_______
y=13x-1
13x-1=9x+4 (instead y in second equation we use 13x-1 and first rewrite)
_______
y=13x-1
13x-9x=4+1 (subtract 9x and add 1 for each side)
______
y=13x-1
4x=5 (divide by 4)
_____
y=13x-1
(instead x in first eq we write 5/4)
______
Answer:
21+/-sqrt(253)=x
So one value for x is 21+sqrt(253)
and another is 21-sqrt(253)
Problem:
Given (21,7) and (x,1), find all x such that the distance between these two points is 17.
Step-by-step explanation:
Change in x is x-21
Change in y is 7-1=6
distance^2=(change in x)^2+(change in y)^2
17^2=(x-21)^2+(6)^2
289=(x-21)^2+36
Subtract 36 on both sides:
289-36=(x-21)^2
253=(x-21)^2
Take square root of both sides:
+/-sqrt(253)=x-21
Add 21 on both sides:
21+/-sqrt(253)=x
Answer:
25
Step-by-step explanation:
I'll explain in detail for those of you that want to know.
You know that since angles B and C are congruent to each other that this triangle is an isosceles triangle. Therefore, sides AB and AC are congruent to each other because that is a property of an isosceles triangle.
To solve for x, place the expressions of sides AB and AC equal to each other and solve for the unknown variable.
4x + 1 = 2x + 23
You should get that x = 11.
Substitute x = 11 into the expression for side BC to solve for the length of that side.
f(11) = 3(11) - 8
f(11) = 25
Thus, length of side BC is 25 units.
Use this way of solving for all your future questions. It's really simple :)