A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
Answer:
$100
Step-by-step explanation:
Given:
If the amount collected from sales on Wednesday was <u>$75 greater</u> than the amount collected from sales on Tuesday, then Tuesday's sales were $75 <u>less</u> than Wednesday's sales:
- Tuesday sales = $350 - $75 = $275
If the amount collected from sales on Wednesday was <u>two times as great</u> as the amount collected from sales on Monday, then Monday's sales were <u>half</u> Wednesday's sales:
- Monday sales = $350 ÷ 2 = $175
To calculate how much more the farmstand collected from sales on Tuesday than it collected on Monday, <u>subtract</u> the Monday sales from the Tuesday sales:
Answer:ASA stands for (angle-side-angle)
Step-by-step explanation: According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
Answer:
f(x)=|x-2|+3
0=|x-2|+3
0-3=|x-2|+3-3
-3+2=x-2+2
-1=x
Step-by-step explanation:
- set the function equal to zero
- you can subtract 3 from both sides or you can add -2 and 3 and then you subtract your answer from both sides to solve for x
It is possible to have a triangle with those lengths
