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3 years ago

Determine the intercepts of the line 2x+5y=-6?

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

Answer:

The x intercept is (-3,0)

The y intercept is (0,-6/5)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

2x+5y=-6

2x+0 = -6

Divide by 2

2x/2 = -6/2

x = -3

The x intercept is (-3,0)

To find the y intercept, set x =0 and solve for y

2x+5y=-6

0+5y = -6

Divide by 5

5y/5 = -6/5

y = -6/5

The y intercept is (0,-6/5)

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A circle has an area of 36pi square inches. Find the radius

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3 years ago

Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?

Vanyuwa [196]

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , to calculate the distance between (-3, 2) and (5, -4):

$d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2}$

$d = \sqrt{(8)^2 + (-6)^2}$

$d = \sqrt{64 + 36}$

$d = \sqrt{100} = 10$

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Plug in the values

$M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2})$

$M(\frac{2}{2}, \frac{-2}{2})$

$M(1, -1)$

✅The coordinate ofthe deli is (1, -1)

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3 years ago

The sales tax in one towns 8%. So, the total cost of an item can be written as c + 0.08c. What is the total cost of an item that

Artemon [7]

Short answer:
TotalCost = 12.96

Long answer:

It gives you the equation of

total cost = C + 0.08C

You just need to plug-in the $12 to the equation.
In other words, the equation is:
TotalCost = 12 + 0.08*12
TotalCost = 12 + 0.96
TotalCost = 12.96

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3 years ago