Let's say the savings in your account are given by $V, the number of weeks by n and the starting balance by $x:
V = x + 200n
Now if after saving for 4 weeks you have $1700 in your account, then:
1700 = x + 200*4
1700 = x + 800
x = 900, thus your starting balance is $900
Using this information we can now write up the general equation for the savings at the end of each week:
V = 900 + 200n
Answer:
AC = 7.12 units
Step-by-step explanation:
A right triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. As Angle C is the right angle, then the triangle can be constructed as shown in the picture attached. The sides of the triangle have a relationship known as the Pythagorean Theorem a² + b² = c². In the theorem, the legs of the triangle are a and b while the hypotenuse is c. Substitute a = x, b = x+6, and c = √52. Simplify and solve.
a² + b² = c²
x² + (x+6)² = √52²
x² + x² + 12x + 36 = 52
2x² + 12x - 16 = 0
You can use the quadratic formula to solve by substituting a = 2, b = 12, and c = -16.
The quadratic formula is
.
Substitute and you'll have:


Only 1.12 is a solution since 7.13 will not satisfy the Pythagorean theorem
Side AC is 6 units longer than side BC. This means x = BC and AC = x + 6.
AC = 1.12 + 6 = 7.12
Answer:it’s the one with 10 units on the side
Step-by-step explanation:
10 divided by 1/2 is 5
Answer:
15 pieces
Step-by-step explanation:
5/ (1/3) = 5*3 = 15
Answer:
(2,-7)
Step-by-step explanation:
Plug in the numbers to test and see if it gives you -17 and -8.
Option 1. 2(-4)+3(2)
= -8+6 = -2. Not it.
Option 2. 2(2)+3(-7)
4 - 21 = -17 Works. Try the second equation to make sure.
3(2)+2(-7)
6-14 = -8. Works.
(2,-7) is the answer.