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Fudgin [204]
1 year ago
8

Write the slope-intercept form of the equation of the line through the given point with the given

Mathematics
1 answer:
kupik [55]1 year ago
8 0

Answer: y=-1/2x+1

Step-by-step explanation: plug in numbers to find y intercept (b).

-1=-1/2(4)+b

-1=-2+b

b=1

y=-1/2x+1

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Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours.
shutvik [7]
$29.25 in 3 hours. explanation: if he makes $9.75 in 1 hour then 9.75 x 3 (hours) would equal $29.25
7 0
3 years ago
Three friends go bowling the cost per person per game is $ 5.30 the cost to rent shoes is $ 2.50 per person.Their total cost is
siniylev [52]
Find cost of shoes first (7.50)
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4 0
3 years ago
Solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!​
FromTheMoon [43]

Answer: t\in [\dfrac{1}{4},2]

Step-by-step explanation:

Given

Inequality is 4t^2\leq9t-2

Taking variables one side

\Rightarrow 4t^2-9t+2\leq0\\\Rightarrow 4t^2-8t-t+2\leq0\\\Rightarrow 4t(t-2)-1(t-2)\leq0\\\Rightarrow (4t-1)(t-2)\leq0

Using wavy curve method

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3 0
2 years ago
The center of a circle is at (2, −5) and its radius is 12.
stiv31 [10]

Answer:

The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A

Step-by-step explanation:

The form of the equation of the circle is (x - h)² + (y - k)² = r², where

  • r is the radius of the circle
  • h, k are the coordinates of the center of the circle

Let us solve the question

∵ The center of the circle is at (2, -5)

→ From the rule above

∴ h = 2 and k = -5

∵ The radius of the circle is 12

∴ r = 12

→ Substitute the values of r, h, and k in the form of the equation above

∵ (x - 2)² + (y - -5)² = (12)²

∴ (x - 2)² + (y + 5)² = 144

∴ The equation of the circle is (x - 2)² + (y + 5)² = 144

7 0
3 years ago
An 11 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet from the side of the house. How high is
Mariulka [41]
Using Pythagoras Theorem,
(b is the length of the ladder from the ground)
11x11=6x6+(b^2)
121-36=(b^2)
85=(b^2)
b= 9.219544457292887
b is approximately 9.2
5 0
3 years ago
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