Answer: 8400 $
Explanation:
His original debt: money paid for 10 months + remaining debt
Assume X is his original debt
Then X= 10 • 150 + 6900
X= 1500+6900=8400$
First we have to find the vertex (h,k) h is also x and it also is the a xis symmetry
1st: group the number
(X2+6x)-9
2nd: use b/2
6/2 = 3 , 3^2= 9
(X2+6x+9)-9-9
(X2 + 3)-18
Vertex is 3,-18 so the symmetry is 3
Equation 1: 3x + 2y + 4z = 12
Equation 2: x + y + 2z = 6
Substituting x = 0, y = 4 and z = 1 into equation 1 and equation 2 and if the answer equals to 12 and 6 then the two lines intersect at the given point
Equation 1 ⇒ 3(0) + 2(4) + 4(1) = 0 + 8 + 4 =12
Equation 2 ⇒ 0 + 4 + 2(1) = 4 + 2 = 6
We have the answer of 12 and 6, hence the two lines intersect at the given point
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Equation 1: -2x - 4y + z = 8
Equation 2: 4x + 2y = -5
Given point: x = -2, y = 0, and z = 3
Equation 1 ⇒ -2(-2) - 4(0) + 3 = 4 - 0 +3 = 7
Equation 2 ⇒ 4(-2) + 2(0) = -8 + 0 = -8
The answers are not 8 and -5 hence the lines don't intersect at given point
Answer:
3.2 cm
Step-by-step explanation:
If we know that our ratio is 4 cm: 5 km. We can find the unit rate of the scale. Which would be 0.8 cm: 1 km. After we find the unit ratio we can then multiply both sides by 4. (4 * 0.8) : (4*1) After simplifying we get the ratio of 3.2cm: 4 km.