How many solutions does this system have ? - 15x=-5y+40 y=-3x+8

Mathematics

2 answers:

VashaNatasha [74]3 years ago

6 0

Answer:

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Step-by-step explanation:

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kap26 [50]3 years ago

4 0

Answer:

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Find the area of the parallelogram with vertices: (2,2,0),(5,3,0),(4,7,0),and(7,8,0).

PtichkaEL [24]

Answer:

13 square units

Step-by-step explanation:

Let the vertices of parallelogram are

A(2,2,0),B(5,3,0),C(4,7,0) and D(7,8,0)

Side AB= $B-A=-=$

Side AD=D-A= $-=$

We know that

Area of parallelogram=Magnitude of product of adjacent sides

$AB\times AD=\begin{vmatrix}i&j&k\\3&1&0\\5&6&0\end{vmatrix}$

$AB\times AD=$

$\mid AB\times AD\mid=\sqrt{x^2+y^2+z^2}$

$\mid AB\times AD\mid=\sqrt{0+0+(13)^2}$

Where x=Component along x-axis

y=Component along y- axis

z=Component along z-axis

$\mid AB\times AD\mid=13$ Square units

Hence, the area of parallelogram=13 square units

8 0

3 years ago

What is 3 3/4 x 2 4/5

algol13

Answer:

10 $\frac{1}{2}$

Step-by-step explanation:

to multiply, convert each fraction into an improper fraction. you do that by multiplying the denominator by the whole number and adding the numerator. so 3 $\frac{3}{4}$ will be $\frac{15}{4}$ and 2 $\frac{4}{5}$ will be $\frac{14}{5}$ . now you multiply the numerator by the numerator and the denominator by the denominator. your fraction will be $\frac{210}{20}$ . to simplify, you divide 210 by 20 and you will get 10 $\frac{1}{2}$ :)