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LenKa [72]
3 years ago
13

Solve the system of equations y=x-4, y=-3x

Mathematics
1 answer:
abruzzese [7]3 years ago
5 0
Y=x-4
x=y+4
y=-3(y+4)
y=-3y-12
4y=-12
y=-3
x=1
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The graph of a function is shown: scatterplot of the following points: negative 3 and 2, negative 2 and negative 1, 2 and negati
Maurinko [17]
Let's assign these coordinate points as P1(-3,2), P2(-2,-1), P3(2,-1) and P4(3,3). When you plot these points (shown in the picture), they are widely scattered. Therefore, they must not be a trend. Since you forgot to include the options, I would just make a smart guess that these coordinates form a shape which is quadrilateral. I just have to make use of what I have. From the given, I could possibly determine the area of the quadrilateral. 

First, you need to plot the points in a cartesian plane as what is shown at the top of the attached picture. Then, you make a matrix wherein the x coordinates are placed in the first row, and the y coordinates in the second row (shown as the black box in the picture). Make sure that you arrange the points in order (whether clockwise or counterclockwise). 

Once you create the matrix, you find its determinant. This is done by multiplying the numbers diagonally. The equation will be: arrow down - arrow up. The solution is as follows:

Determinant = [(-3×-1) + (-2×-1) + (2×3)] - [(2×-2) + (-1×2) + (-1×3)] = 20

Then, we use the equation for area of any polygon: A = 1/2*determinant
A = 1/2*20 = 10 square units

Thus, the output of the point plotted together creates a quadrilateral with an area of 10 square units.

5 0
3 years ago
Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)
r-ruslan [8.4K]

Answer:

(0,1)

Step-by-step explanation:

I put it in desmos :)

4 0
3 years ago
Read 2 more answers
Write an iequality for -5(×+7)<-10 representing the solution for x​
vovikov84 [41]

Answer:

X<-5

Step-by-step explanation:

1) open the brackets

2) take -35 to the other side with -10

where it turns to be -5X<-10+35

3) work out to find -5X<25

4) divide both sides by -5

to find X<-5

3 0
2 years ago
Find an equation for the line that passes through the points (5.-5) and (-4,-2)
ANEK [815]

Answer:

\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -5) and (-4, -2).

Substiute:

m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

-5=-\dfrac{1}{3}(5)+b

-5=-\dfrac{5}{3}+b               <em>add 5/3 to both sides</em>

-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}

Finally we have the equation of a line in the slope-intercept form:

y=-\dfrac{1}{3}x-\dfrac{10}{3}

Convert to the standard form <em>(Ax + By = C)</em>:

y=-\dfrac{1}{3}x-\dfrac{10}{3}          <em>multiply both sides by 3</em>

3y=-x-10              <em>add x to both sides</em>

x+3y=-10

4 0
3 years ago
NEED HELP ASAP MULTILPLICATION
Maru [420]
The answer is 15 13/15
yeah yep.
7 0
3 years ago
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