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Leya [2.2K]
3 years ago
13

What is the solution to the equation? 3(x - 4) < 6

Mathematics
2 answers:
ollegr [7]3 years ago
6 0
3(x - 4) \ \textless \  6 \\ \\ x - 4 \ \textless \   \frac{6}{3} \\ \\ x - 4 \ \textless \  2 \\ \\ x \ \textless \  2 + 4 \\ \\ x \ \textless \  6 \\ \\

The final result is: x < 6.
andrew-mc [135]3 years ago
5 0
3(x-4) < 6
3x - 12 < 6
Change < this symbol into =, temporarily
3x - 12 = 6
3x = 6 + 12
3x = 18
X = 18 : 3
X = 6
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G (r) = 25 – 3r<br> g(4) =
tensa zangetsu [6.8K]

Answer:

=25 - 3 × 4

= 25-12= 13

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8 0
3 years ago
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The coordinates of the endpoints of ST are (-2,3) and (3, y) respectively supposethe distance between s and t us 13 units.What v
igor_vitrenko [27]

Answer:

The values of y would be -9 and 15

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

d=13\ units

S(-2,3) and T(3,y)

substitute the given values in the formula and solve for y

13=\sqrt{(y-3)^{2}+(3+2)^{2}}

13=\sqrt{(y-3)^{2}+25}

squared both sides

169=(y-3)^{2}+25

(y-3)^{2}=169-25

(y-3)^{2}=144

take square root both sides

y-3=(+/-)12

y=3(+/-)12

y=3(+)12=15

y=3(-)12=-9

therefore

The values of y would be -9 and 15

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3 years ago
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a_sh-v [17]

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Step-by-step explanation:

6 0
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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

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Hence, the Cartesian coordinates are (1.5,-2.6)

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3 years ago
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