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Llana [10]
4 years ago
10

What is the equation of the line that passes through the point (2, -2) and has a slope of -1/2

Mathematics
1 answer:
Veseljchak [2.6K]4 years ago
6 0

Answer:

y=-1/2x (lmk if you need me to explain)

Step-by-step explanation:

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Solve the inequality 4x+6<6x-8 ​
ra1l [238]

Answer:

x > 7

Step-by-step explanation:

Given

4x + 6 < 6x - 8 ( subtract 6x from both sides )

- 2x + 6 < - 8 ( subtract 6 from both sides )

- 2x < - 14

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x > 7

7 0
3 years ago
Choose the correct words from the drop-down menu to make a true statement about the system of equations.
lyudmila [28]

Answer:C. It has only one solution

Step-by-step explanation:

The system of equations is expressed as

y = x + 2

Subtracting 2 from the left hand side and the right hand side of the equation, it becomes

x = y - 2 - - - - - - - - - 1

-x + 3y = 6

Multiplying the left hand side and the right hand side of the equation by - 1, it becomes

x - 3y = - 6

Adding 3y to the left hand side and the right hand side of the equation, it becomes

x = 3y - 6 - - - - - - - - 2

Equating equation 1 and equation 2, it becomes

y - 2 = 3y - 6

3y - y = - 2 + 6

2y = 4

y = 4/2 = 2

Substituting y = 2 into equation 1, it becomes

x = 2 - 2 = 0

The solutions are (0, 2)

6 0
3 years ago
And he runs the same number of miles ask every day. His total distance run for one week is less than 60 miles. Which any quality
stiv31 [10]

Answer:

around 8 or 8.5 miles a day for 7 days

Step-by-step explanation:

60 divided 7 equals 8.5

3 0
3 years ago
Find the area of the sector.
attashe74 [19]

Answer: C . 147π / 4 mi²

Concept:

The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.

A = (θ / 360) πr²

θ = angle of the sector

π = constant

r = radius

Solve:

<u>Given variable</u>

θ = 270°

r = 7 mi

<u>Given formula</u>

A = (θ / 360) πr²

<u>Substitute values into the formula</u>

A = (270 / 360) π (7)²

<u>Simplify exponents</u>

A = (270 / 360) π 49

<u>Simplify by multiplication</u>

A = (147 / 4) π

A = 147π / 4

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
How do you simplify:<br><img src="https://tex.z-dn.net/?f=5x%5E%7B2%7D%20-%203xy%20-%208y%5E%7B2%7D%20" id="TexFormula1" title="
inn [45]

\bf 5x^2-3xy-8y^2\implies (5x^2-3xy)-8y^2\implies \stackrel{\textit{common factoring}}{x(5x-3y)-8y^2}&#10;\\\\\\&#10;\stackrel{\textit{or we can group like this}}{5x^2-(3xy+8y^2)}\implies \stackrel{\textit{common factoring}}{5x^2-y(3x+8y)}

4 0
3 years ago
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