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mote1985 [20]
4 years ago
7

Find all points having an x-coordinate of 4 whose distance from the point (-2,-1) is 10

Mathematics
1 answer:
irina1246 [14]4 years ago
8 0
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\
10=\sqrt{(4-(-2))^2+(y-(-1))^2}\\
10=\sqrt{6^2+(y+1)^2}\\
10=\sqrt{36+y^2+2y+1}\\
10=\sqrt{y^2+2y+37}\\
100=y^2+2y+37\\
y^2+2y-63=0\\
y^2+9y-7y-63=0\\
y(y+9)-7(y+9)=0\\
(y-7)(y+9)=0\\
y=7 \vee y=-9\\\\
\boxed{(x,y)=\{(4,-9),(4,7)\}}


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Determine whether this statement is true or false. if two lines have the same slope, their equations describe the same line.
maksim [4K]

Answer:

False

Step-by-step explanation:

When you say "slope", Im guessing your referring to the gradient (the steepness of the line).

If two lines have the same gradient their equations won't usually describe the same line because their 'y intercepts' will be different (the point in which the line crosses the y axis)

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3 years ago
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3 years ago
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Lesechka [4]

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x= 37/36

Step-by-step explanation:

−12(3x−4)=11

Step 1: Simplify both sides of the equation.

−12(3x−4)=11

(−12)(3x)+(−12)(−4)=11(Distribute)

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Step 2: Subtract 48 from both sides.

−36x+48−48=11−48

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Step 3: Divide both sides by -36.

−36x

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−36

x=

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x=

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3 years ago
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In the notation "t(x) =...," what does "t(x)" represent?
Tasya [4]

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The value of t(x) depends on the value of x, since t  is a function of x.

Step-by-step explanation:

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3 years ago
123 Savings and Loan charges a monthly fee of $8 on checking accounts and an overdraft protection fee of $33. Neela's check regi
Nimfa-mama [501]

Answer:

The account statement had an ending balance of $153

Step-by-step explanation:

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The account statement had an ending balance of $153

4 0
3 years ago
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