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Monica [59]
3 years ago
11

Apply the distributive property to factor out the greatest common factor. 12 + 20 =

Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0

Answer:

3

Step-by-step explanation:

i just took the test

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Consider the plot created from the residuals of a line of best fit for a set of data.
Naddika [18.5K]

Answer:

No, the points are in a linear pattern.

Step-by-step explanation:

Residual plot is a graph that shows the residuals on the vertices. The y-axis has residual values and x-axis has independent variables. The horizontal axis shows the independent variables to determine the best fit for a set. The graph given is in a linear pattern. The random pattern shows that linear model is good fit.

4 0
4 years ago
Please help! A-level maths.
astra-53 [7]

x+y=k\implies y=k-x

Substitute this into the parabolic equation,

k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0

We're told the line x+y=k intersects C twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

(-7)^2-4(k+3)=49-4(k+3)>0\implies k

We can tell from the quadratic equation that C has its vertex at the point (3, 6). Also, note that

-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5

and

-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6

so the furthest to the right that C extends is the point (5, 2). The line x+y=k passes through this point for 2+5=k\implies k=7. For any value of k, the line x+y=k passes through C either only once, or not at all.

So 7\le k; in set notation,

\{k\mid 7\le k

4 0
4 years ago
What is the area of a parallelagram with the base of 6 and height of 5
Veseljchak [2.6K]

Answer:

30 units²

Step-by-step explanation:

Area of a parallelogram = Base * Height

Substitute in known values

Area = 6 * 5

Area = 30 units²

Hope this helps :)

7 0
3 years ago
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Select the correct answer. Which is the simplified form of the expression ? A. B. C. D.
Gre4nikov [31]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Which of the following is NOT a solution for the inequality below? Please look at the picture
Vika [28.1K]
Hello Vanessa. I will be contacting your school for cheating.
7 0
3 years ago
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