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svlad2 [7]
3 years ago
12

Janae is 4 years younger than Derek. In 7 years the sum of their ages will be 56. How old are they now?

Mathematics
1 answer:
Fed [463]3 years ago
4 0

Answer:

I think it's 85 years old

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Please helppp!! Find the missing side . Round to the nearest tenth
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Answer:

7.  7.8

Step-by-step explanation:

We can use Tan of this angle to find the missing side (in this case, the side adjacent to the angle measuring 57°)

 Tan A = (opposite side)/(adjacent side)

    Tan 57° = 12/x

solve for x

           x(Tan 57°) = 12

               x = 12/(Tan 57°)

                 x = 7.8   (rounded to the nearest tenth)

6 0
3 years ago
Please need help asap!!
worty [1.4K]

A property of rectangles is that opposite sides are congruent. In this case, since QT and RS are opposite sides, they are equal to each other. With this knowledge, you can form the equation 50=4x+8 to solve for x.

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3 years ago
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Oksana_A [137]

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3 years ago
Determine whether the set of vectors <img src="https://tex.z-dn.net/?f=%20v_%7B1%3D%283%2C2%2C1%29%2C%20v_%7B2%7D%20%3D%28-1%2C-
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Since each vector is a member of \mathbb R^3, the vectors will span \mathbb R^3 if they form a basis for \mathbb R^3, which requires that they be linearly independent of one another.

To show this, you have to establish that the only linear combination of the three vectors c_1\mathbf v_1+c_2\mathbf v_2+c_3\mathbf v_3 that gives the zero vector \mathbf0 occurs for scalars c_1=c_2=c_3=0.

c_1\begin{bmatrix}3\\2\\1\end{bmatrix}+c_2\begin{bmatrix}-1\\-2\\-4\end{bmatrix}+c_3\begin{bmatrix}1\\1\\-1\end{bmatrix}=(0,0,0)\iff\begin{bmatrix}3&-1&1\\2&-2&1\\1&-4&-1\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix}=\begin{bmatrix}0\\0\\0\end{bmatrix}

Solving this, you'll find that c_1=c_2=c_3=0, so the vectors are indeed linearly independent, thus forming a basis for \mathbb R^3 and therefore they must span \mathbb R^3.
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3 years ago
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