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3 years ago

Which equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply.

Mathematics

2 answers:

Hunter-Best [27]3 years ago

8 0

Answer:

2 x minus 3 y = 12

Negative 4 (2 x minus 3 y) = negative 4 (12)

Step-by-step explanation:

y = two-thirds x minus 4

y = (⅔)x - 4

Multiply the entire equation by 3

3y = 2x - 12

2x - 3y = 12

Multiply both sides by -4

-4(2x - 3y) = -4(12)

nasty-shy [4]3 years ago

4 0

Answer:

Step-by-step explanation:

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Rafael counted a total of 40 white cars and yellow cars there were 9 times as many white cars as yellow how many white cars did

Paladinen [302]

Answer:

Uhhhh si he counted 40 cars so just do 40 times 9 which is 360

6 0

3 years ago

Read 2 more answers

The perimeter of the dodecagon is 54 cm. by joining every other vertex of the dodecagon a hexagon is formed. if each side of the

lawyer [7]

Answer:

x = 8.69

Step-by-step explanation:

we know that the perimeter of the dodecagon is 54, so each edge will be 54/12

54/12 = 4.5 cm

if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.

we know that the angle of each vertex is 150 ° because it is a dodecagon

if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know

a would be our x

b = 4.5

c = 4.5

A = 150°

a^2 = b^2 + c^2 - 2bc * cos (A)

x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)

x^2 = 20.25 + 20.25 - 40.50 * -0.866

x^2 = 40.50 + 35.07

x = √ 75.57

x = 8.69

4 0

3 years ago

the length of a rectangular yard is 4 feet more than the width. the perimeter of the yard is 208 feet. write the equation that r

ad-work [718]

Answer:

Length = 54 ft.

Width = 50 ft.

Step-by-step explanation:

Let the width of the rectangle be 'w'.

According to question ,

Length = w + 4

Perimeter = 208 ft.

We know that $perimeter = 2(l + w)$ where l = length & w = width

So,

$2(w + 4 + w) = 208$

$= > 2(2w + 4) = 208$

$= > 2w + 4 = \frac{208}{2} = 104$

$= > 2w = 104 - 4 = 100$

$= > w = \frac{100}{2} = 50$

Width = 50 ft.

=> Length = 50 + 4 = 54 ft.

5 0

2 years ago

The figure below is not drawn to scale. ABCD is a square. ACF and DCE are straight lines. Find ECF

pashok25 [27]

Answer:

<ECF = 45 degrees

Step-by-step explanation:

If ABCD is a square, then the diagonal AC divides angle <C and angle <A in two equal parts. Angles A and C are also 90 degrees each due to the act that the figure is a square. Therefore their bisection would render 90/2 = 45 degrees.

Notice as well that angle <ECF is opposite by the vertex to one of these 45 degree angles, and then it must measure the same amount (45 degrees).

So, <ECF = 45 degrees

3 0

3 years ago

Please help asap i will mark branlist please explain both question

Allisa [31]

Answer:

5. C. {(22, 10), (23, 10), (24, 7), (25, 5)}

6. C. x = -2

Step-by-step explanation:

A relation is not a function if a vertical line intersects a graph of it in more than one place.

5. A set of ordered pairs is <u>not</u> a function if any of the first-values is repeated.

In set A, (22, ) is repeated.

In set B, (23, ) is repeated.

In set D, (24, ) is repeated.

In set C, no first-value is repeated, so the relation is a function.

6. The line x=-2 is a vertical line, so a vertical line intersect it in an infinite number of places. It is NOT a function.

5 0

3 years ago