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2 years ago

Which equation represents a line which is parallel to the line 2x + 7y = -56?

Mathematics

1 answer:

kicyunya [14]2 years ago

6 0

Answer:

last option: y = -2/7x + 4

Step-by-step explanation:

original equation, in slope-intercept form, is: y = -2/7x -8

Parallel lines have equal slopes

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Write in standard form: 4 (2a) + 7 (-4b) + (3.c - 5) * The . is a multiplication sign.

alisha [4.7K]

Refer to cy math.com they have the answer

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3 years ago

Solve A= 1/2bh for b. Then find the base of a triangle with a height of 6 inches and an area of 24 square inches.

lions [1.4K]

Answer:

The breadth of the triangle is 8 inches.

Step-by-step explanation:

Given that the area of the triangle is 24 sq inches and that the height is 6 inches

1/2 * b * 6 =24

b * 3= 24

b=8 inches

3 0

2 years ago

If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?

enyata [817]

Step-by-step explanation:

$\bf➤ \underline{Given-} \\$

$\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\$

$\bf➤ \underline{To\: find-} \\$

$\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\$

$\bf ➤\underline{Solution-} \\$

Let us assume that:

$\rm: \longmapsto u = {x}^{2013}$

Therefore, the equation becomes:

$\rm: \longmapsto u + \dfrac{1}{u} = 2$

$\rm: \longmapsto \dfrac{ {u}^{2} + 1}{u} = 2$

$\rm: \longmapsto{u}^{2} + 1 = 2u$

$\rm: \longmapsto{u}^{2} - 2u + 1 =0$

$\rm: \longmapsto {(u - 1)}^{2} =0$

$\rm: \longmapsto u = 1$

Now substitute the value of u. We get:

$\rm: \longmapsto {x}^{2013} = 1$

$\rm: \longmapsto x = 1$

Therefore:

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 1 + 1$

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 2$

★ Which is our required answer.

$\textsf{\large{\underline{More To Know}:}}$

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0

2 years ago

(Question 2 : Select the best answer for the question.)

iris [78.8K]

Answer:

B is the answer i think

Step-by-step explanation:

because its lenear and positive...

5 0

2 years ago

line c passes through the origin and has a slope of -7.Write an equation like y=mx+b.If theres enough information if not explain

Pavel [41]

If you have a picture that shows line c on a graph, you could find your y-intercept or b. If not, you need the y-intercept to make an equation.

5 0

2 years ago

Read 2 more answers