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3 years ago

What is the constant of proportionality?

Mathematics

2 answers:

Korolek [52]3 years ago

8 0

Answer:

0.4

1*3 = 3

7*? = 7n (7 of a variable)

3 = 7n (divide by 7)

3/7 = 0.4285

0.4285 rounded to the nearest tenth = 0.4

MrRa [10]3 years ago

6 0

0 or 2.33333333

2.33333333 rounded to ten is 0

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EFGH is a parallelogram. Find the given side length. Please help

noname [10]

Answer:

EF=35

EG=22

Step-by-step explanation:

7y-14=2y+21

5y=35

y=7

EF=7(7)-14=49-14=35

15x+7=12x+10

3x=3

x=1

EG=15(1)+7=15+7=22

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3 years ago

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Which property is illustrated by the equation 3(mn)=(3m)n?

Elenna [48]

That would be the associative property

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Select the two values of x that are roots of this equation.<br>x + 2x - 6 = 0

VLD [36.1K]

For this case we must solve the following quadratic equation:

$x ^ 2 + 2x-6 = 0$

Where:

$a = 1\\b = 2\\c = -6$

The solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting:

$x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}$

Thus, we have two roots:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

ANswer:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

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3 years ago

Divide. Write your answer as a fraction in simplest form. <br> -14/5÷ -7

gladu [14]

Answer:

2/5

Step-by-step explanation:

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3 years ago

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5(x+3)-7(6-3)+29=50-3(8-x)

Sveta_85 [38]

Answer:

$\quad x=\frac{3}{2}$

Step-by-step explanation:

$7\left(6-3\right)=21$ , $\mathrm{Expand\:}5\left(x+3\right)-21+29:\quad5x+23$ , $\mathrm{Expand\:}50-3\left(8-x\right):\quad 3x+26$ , Subtract 23 and 3x from both sides and simplify: $2x=3$ , Divide both sides by 2 and simplify: $x=\frac{3}{2}$

<em>Hope this helps!!!</em>

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3 years ago