Answer: 36 days
Step-by-step explanation:
that’s the lowest multiple of 9 that also is a multiple of 12. It’s the LCF aka Least Common Factor
Please specify what the colors mean
Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
Input Data :
Point 1
(
x
A
,
y
A
)
= (4, 3)
Point 2
(
x
B
,
y
B
)
= (3, -2)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points =
√
(
x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points =
√
(
3
−
4
)
2
+
(
−
2
−
3
)
2
=
√
(
−
1
)
2
+
(
−
5
)
2
=
√
1
+
25
=
√
26
= 5.099
Distance between points (4, 3) and (3, -2) is 5.099
Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.
Hence, the value of the car in 4 years is given by:
A(4) = 9087.
More can be learned about exponential functions at brainly.com/question/25537936