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vredina [299]
4 years ago
11

Simplify this radical without decimals

Mathematics
1 answer:
timofeeve [1]4 years ago
5 0
8)
\sqrt{40}
\sqrt{4*10}
The 4 is a squared number (2<span>×2).
</span>Answer: 2\sqrt{10}
12)
\sqrt{441}
The 441 is a squared number (21<span>×21)
</span>Answer: 21



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Step-by-step explanation:

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5 0
3 years ago
F(x) = x squared - 3x -7 Find f(-3)
Vladimir [108]

Answer:

11

Step-by-step explanation:

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4 0
3 years ago
Suppose p = (1, 3, 4) and q = (5, 8, 12) are solutions to the linear system of equations: a11x1 + a12x2 + a13x3 = α1 a21x1 + a22
Alex73 [517]

Answer:

Let A=\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\\a_{41}&a_{42}&a_{43}\end{array}\right] the matrix associated to the system and

b=\left[\begin{array}{ccc}\alpha_{1}\\\alpha_{2}\\\alpha_{3}\\\alpha_4\end{array}\right] the vector of constant values of the system.

The equation of the line joining p and q is

p+t(q-p), t\in\mathbb{R}. Since p and q are solutions of the linear system then, Ap=b and Aq=b

Let w=q-p. Observe that Aw=A(q-p)=Aq-Ap=b-b=0. Then w is a solution of the homogeneous system Ax=0.

Now, let s=p+r(q-p) for some r\in\mathbb{R}  be a point in the line joining p and q. Observe that

As=A(p+r(q-p))=Ap+rA(q-p)=Ap+rAw=b+r*0=b

Then As=b. This means that s is a solution of the linear system.

8 0
3 years ago
For all points on the y-axis of a coordinate grid, the x-coordinate is always?
vesna_86 [32]
Zero if it is talking about it is on the y-axis line
5 0
4 years ago
A movie theater has 24 screens. The ratio of action films to other films currently showing on all of the screens 1:2. How many a
Natasha2012 [34]

Answer:

8:16, 8 actions films

Step-by-step explanation:

1:2 = 1x:2x

= 24 / (1x+2x)

= 24 / 3x = 8, x = 8

= 8*1 : 8*2

= 8:16

Proof:

8 + 16 = 24

5 0
3 years ago
Read 2 more answers
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