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babunello [35]
3 years ago
15

A line is perpendicular to y = 3x - 8

Mathematics
2 answers:
Leya [2.2K]3 years ago
4 0

Answer: the equation is y=-1/3x

Thanks!

zaharov [31]3 years ago
4 0

Answer:

y - 2 = (-1/3)(x - 2)

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of one another.  Thus, a line perpendicular to the given y = 3x - 8 has slope -1/3.

The desired equation is thus y - k = m(x - h), or, specifically,

y - 2 = (-1/3)(x - 2)

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1 year ago
The Radius of a circle is 5 cm. Find the area of the circle, correct to one decimal place.
lorasvet [3.4K]

Answer:

78.5

Step-by-step explanation:

r^{2}x3.14 (pie)

so then substitute.

5x5=25

25x3.14=78.5

6 0
3 years ago
Which of the following is the equation of the line graphed below?
Masteriza [31]

The line crosses the y-axis at y=4, so will have an equation of the form

... y = (something)·x + 4


The line rises from left to right, so has a positive slope. That is, the "(something)" must be greater than zero.


The only selection that meets these criteria is

... B y = 2x + 4

4 0
3 years ago
The administrator of a $200,000 trust fund must adhere to following guidelines.
skelet666 [1.2K]

Step-by-step explanation:

let us give all the quantities in the problem variable names.

x= amount in utility stock  

y = amount in electronics stock  

c = amount in bond

“The total amount of $200,000 need not be fully invested at any one time.”

becomes

x + y + c ≤ 200, 000,

Also

“The amount invested in the stocks cannot be more than half the total amount invested”

a + b ≤1/2 (total amount invested),

=1/2(x + y + c).

(x+y-c)/2≤0

“The amount invested in the utility stock cannot exceed $40,000”

a ≤ 40, 000

“The amount invested in the bond must be at least $70,000”

 c ≥ 70, 000

Putting this all together, our linear optimization problem is:

Maximize z = 1.09x + 1.04y + 1.05c

subject to

x+ y+ c ≤ 200, 000

x/2 +y/2 -c/2 ≤ 0

              ≤ 40, 000,

              c ≥ 70, 000

a ≥ 0, b ≥ 0, c ≥ 0.

3 0
3 years ago
37= -3+5(x + 6) slove for x
lions [1.4K]
Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2
8 0
3 years ago
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