$\bf \vec{u}~~ \begin{cases} (17,5)\\ (9,12) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\\\ \vec{v}~~ \begin{cases} (12,4)\\ (3,-2) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\[-0.35em] ~\dotfill$

$\bf 3\vec{u}\implies 3\implies \\\\\\ 2\vec{v}\implies 2\implies \\\\\\ 3\vec{u}-2\vec{v}\implies -\implies + \\\\\\ \implies \\\\[-0.35em] ~\dotfill\\\\ ||3\vec{u}-2\vec{v}||\implies ||||\implies \sqrt{(-16)^2+33^2} \\\\\\ \sqrt{1345}\implies 36.67$

3 0

3 years ago

There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the cl

ZanzabumX [31]

Answer:

14 to 21

Step-by-step explanation:

2+3 is 5.

35 ÷5 is 7

2×7 is 14

3×7 is 21

6 0

3 years ago

Each product is in the form ax2 + bx + c. Which of the following describes the relationship between b and c?

KIM [24]

Answer:

The correct answer is c. c is the square of half of b.

Step-by-step explanation:

In all perfect square trinomials, half of the middle number squared gives you the constant. See the example below for proof.

(x + 4)^2

(x + 4)(x + 4)

x^2 + 4x + 4x + 16

x^2 + 8x + 16

You'll notice if you take the middle term (8), cut it in half (4) and then square it (16), the result is the constant.

8 0

3 years ago

Read 2 more answers

The variable r is directly proportional to the square of t, and r = 144 when t = 72.

Paul [167]

Answer:

k=0.023

Step-by-step explanation:

$r \alpha {t }^{2} \\ r = k {t}^{2} \\ 144 = k \times {72 }^{2} \\ k = \frac{144}{ {72 }^{2} } \\ k = 0.023 \\ the \: eqn \: is \: therefore \\ r = 0.023 \times {t}^{2}$

4 0

3 years ago

Question is in the picture. please help this is for finals.​

Question is in the picture. please help this is for finals.