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3 years ago

What is the slope of a line parallel to the line whose equation is

Mathematics

1 answer:

Lyrx [107]3 years ago

8 0

Answer:

slope = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x - 3y = - 54 ( subtract 9x from both sides )

- 3y = - 9x - 54 ( divide all terms by 0 3 )

y = 3x + 18 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

slope of parallel line is 3

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What is 12 2/3 as an improper fraction

BaLLatris [955]

Answer:

$\dfrac{38}{3}$

Step-by-step explanation:

$12\dfrac{2}{3} =$

$= 12 + \dfrac{2}{3}$

$= \dfrac{12}{1} + \dfrac{2}{3}$

$= \dfrac{12}{1} \times \dfrac{3}{3} + \dfrac{2}{3}$

$= \dfrac{36}{3} + \dfrac{2}{3}$

$= \dfrac{38}{3}$

4 0

3 years ago

Write an algebraic equation for this tape diagram. Then determine the value of x. You may use a calculator.

tresset_1 [31]

Answer:

3× + 16 = 22.75

3× = 22.75 - 16

3x = 6.75

3 3

x = 2.25

7 0

3 years ago

Five over seven plus blank over six equals fifty one over forty two

NISA [10]

Answer:

The blank is 3

Step-by-step explanation:

1 - Give the blank a variable

x = our blank

2 - Write it out

$\frac{5}{7} + \frac{x}{6} = \frac{51}{42}$

3 - Get the denominators equal

$\frac{5}{7}(\frac{6}{6}) +\frac{x}{6}(\frac{7}{7}) = \frac{51}{42} \\\frac{30}{42}+\frac{7x}{42} = \frac{51}{42}$

4 - Simplify

$\frac{30+7x}{42} = \frac{51}{42} \\ \frac{30+7x}{42} = \frac{51}{42}$

5 - Solve for the numerators

30+7x = 51

-30 -30

7x = 21

x = 3

6 0

3 years ago

A function LaTeX: f\left(x\right)=\sqrt[3]{x}f ( x ) = x 3 is transformed into the function LaTeX: g\left(x\right)=-\sqrt[3]{x}-

shtirl [24]

Answer:

A reflection in the x-axis, and a vertical translation of 8 units down

Step-by-step explanation:

The given function is

$f(x) = \sqrt[3]{x}$

The transformed function is

$g(x) = - \sqrt[3]{x} - 8$

To see the transformation that occurred, we can rewrite g(x) in terms of f(x).

That is:

$g(x) = - f(x) - 8$

Therefore f(x) is reflected in the x-axis and translated 8 units down.

The resulting graph decreases from left to right over its entire domain.

7 0

3 years ago

Which drawing shows two lines that intersect at Point a ax, tab, two lines ab, straight x a.

leonid [27]

The drawing which shows two lines that intersect at Point, A is as represented in Choice 1: Top-left corner.

Discussion:

In geometry, a line or straight line was introduced by ancient mathematicians to represent straight objects with negligible width and depth.

Lines are therefore an idealization of such objects, which are often described in terms of two points or referred to using a single letter.

Ultimately, The drawing which shows two lines that intersect at Point, A are as represented in Choice 1: Top-left corner.

Read more on intersection of lines:

brainly.com/question/9047265

5 0

3 years ago