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3 years ago

7

The sum of five times a number and -6 is -2

2 answers:

k0ka [10]3 years ago

4 0

5n + (-6) = -2
add 6 to -2
5n = -2 + 6
5n = 4
divide both sides by 5
n = 4/5

spin [16.1K]3 years ago

3 0

Let' call the number 'M' for 'mystery number'.

The number . . . . . M

Five times the number . . . 5 M

The sum of 5 times the number and -6 . . . 5 M - 6

You said that's -2 . So I can write

5 M - 6 = -2

Add 6 to each side: 5 M = 4

Divide each side by 5 : M = 4/5 or 0.8 .

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What are the measures of angles 1 and 2?<br> m_1 =<br> m_2=

Stella [2.4K]

Answer:

m_1 = 50°

m_2= 130°

Step-by-step explanation:

$m \angle \: 1 = \frac{1}{2} ( 53 \degree +47 \degree ) \\ \\ \hspace{28pt} = \frac{1}{2} \times 100 \degree \\ \\ \huge \purple{ m \angle \: 1= 50 \degree }\\ \\ \because \angle \: 1 \: and \: \angle \: 2 \: are \: linear \: pair \: \angle s\\ \therefore \: m \angle \: 2= 180 \degree - m \angle \: 1 \\ \hspace{39 pt}= 180 \degree - 50 \degree \\ \\ \huge \red{ m \angle \: 2= 130 \degree }$

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3 years ago

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2 years ago

If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3

RUDIKE [14]

Answer:

The value of $v$ is ± 22.729.

Step-by-step explanation:

Let be $a=m\cdot g -\frac{k\cdot v^{2}}{m}$ , the variable $v$ is now cleared:

$\frac{k\cdot v^{2}}{m}=m\cdot g -a$

$k\cdot v^{2} = m^{2}\cdot g- m\cdot a$

$v^{2} = \frac{m^{2}\cdot g - m\cdot a}{k}$

$v =\pm \sqrt{\frac{m^{2}\cdot g-m\cdot a}{k} }$

If $a = 2.8$ , $m=12$ , $g = 9.8$ and $k = \frac{8}{3}$ , the value of $v$ is:

$v=\pm \sqrt{\frac{(12)^{2}\cdot (9.8)-(12)\cdot (2.8)}{\frac{8}{3} } }$

$v \approx \pm 22.729$

The value of $v$ is ± 22.729.

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3 years ago

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igor_vitrenko [27]

Answer:

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General Formulas and Concepts:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

<u>Step 1: Define function</u>

y = -2x + 5

<u>Step 2: Break function</u>

Slope <em>m</em> = -2

y-intercept (0, 5)

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