The first is not a polynomial as one term is dividing.
Answer:
-6
Step-by-step explanation:
15/4 ÷ -5/8
Copy dot flip
15/4 * -8/5
Rewrite
15/5 * -8/4
3 * -2
-6
Answer:
We conclude that the equivalent expression is:
![3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)=6x+20y+8z](https://tex.z-dn.net/?f=3%5Cleft%282x%5Cright%29%2B4y%5Cleft%285%5Cright%29%2B%5Cleft%284%5Ctimes%20%5C%3A2z%5Cright%29%3D6x%2B20y%2B8z)
Step-by-step explanation:
Given the expression
![3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)](https://tex.z-dn.net/?f=3%5Cleft%282x%5Cright%29%2B4y%5Cleft%285%5Cright%29%2B%5Cleft%284%5Ctimes%20%5C%3A2z%5Cright%29)
Remove parentheses: (a) = a
![=3\times \:2x+4\times \:5y+4\times \:2z](https://tex.z-dn.net/?f=%3D3%5Ctimes%20%5C%3A2x%2B4%5Ctimes%20%5C%3A5y%2B4%5Ctimes%20%5C%3A2z)
Multiply the numbers: 3 × 2 = 6
![=6x+4\times \:5y+4\times \:2z](https://tex.z-dn.net/?f=%3D6x%2B4%5Ctimes%20%5C%3A5y%2B4%5Ctimes%20%5C%3A2z)
Multiply the numbers: 4 × 5 = 20
![=6x+20y+4\times \:2z](https://tex.z-dn.net/?f=%3D6x%2B20y%2B4%5Ctimes%20%5C%3A2z)
Multiply the numbers: 4 × 2 = 8
![=6x+20y+8z](https://tex.z-dn.net/?f=%3D6x%2B20y%2B8z)
Thus, we conclude that the equivalent expression is:
![3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)=6x+20y+8z](https://tex.z-dn.net/?f=3%5Cleft%282x%5Cright%29%2B4y%5Cleft%285%5Cright%29%2B%5Cleft%284%5Ctimes%20%5C%3A2z%5Cright%29%3D6x%2B20y%2B8z)
Answer:
The first one is 648 and the second one is 11,600
Step-by-step explanation:
The x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is (17, 11)
<h3>Midpoint of coordinate points</h3>
The midpoint of a line is the point that bisects or divides the line into two equal parts
If the line JK is partitioned into the ratio 1:4 with the following coordinates
J(-15, -5) and K(25, 15)
Using the expression below;
M(x, y) =[mx1+nx2/m+n, my1+ny2/m+n]
Substitute the ratio and the coordinates
M(x, y) =[1(-15)+4(25)/4+1, 1(-5)+4(15)/1+4]
M(x, y) = [(85)/5, 55/5]
M(x, y) = (17, 11)
Hence the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is ((17, 11)
Learn more on midpoint of a line here: brainly.com/question/5566419
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