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RideAnS [48]
3 years ago
6

Part A: If (6^2)x = 1, what is the value of x? Explain your answer. (5 points)

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0
A)
36x = 1
Hence, x = 1/36
b)
(6^0)x = 1
1x = 1 (indices rule x^0 = 1)
Hence, x = 1
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Which equation has a graph that is perpendicular to the graph of -x + 6y = -12?
serious [3.7K]

Answer:

c) 6x + y = -52  is required equation perpendicular to the given equation.

Step-by-step explanation:

If the equation is of the form    : y = mx  + C.

Here m = slope of the equation.

Two equations are said to be perpendicular if the product of their respective slopes is -1.

Here, equation 1 :  -x + 6y = -12

or, 6y = -12  + x

or, y = (x/6)  - 2

⇒Slope of line 1 = (1/6)

Now, for equation 2  to be  perpendicular:

Check for each equation:

a. x + 6y = -67       ⇒  6y = -67  - x

or, y = (-x/6)  - (67/6)      ⇒Slope of line 2 = (-1/6)

but \frac{1}{6} \times \frac{-1}{6}  \neq -1

b. x - 6y = -52   ⇒  -6y = -52  - x

or, y = (x/6)  + (52/6)      ⇒Slope of line 2 = (1/6)

but \frac{1}{6} \times \frac{1}{6}  \neq -1

c. 6x + y = -52    

or, y =y = -52  - 6x      ⇒Slope of line 2 = (-6)

\frac{1}{6} \times (-6)  =  -1

Hence, 6x + y = -52  is required equation 2.

d. 6x - y = 52  ⇒  -y = 52  - 6x

or, y = 6x   - 52      ⇒Slope of line 2 = (6)

but \frac{1}{6} \times 6  \neq -1

Hence,  6x + y = -52  is  the  only required equation .

3 0
3 years ago
Read 2 more answers
The Gomes family is on a road trip. On the first day, they drove a distance shown as 3 1/2 inches on a map. The actual distance
marissa [1.9K]
1/r = (3 1/2)/245
(3 1/2)r = 245
r = 245/3 1/2
r = 70

scale is 1 in to 70 miles.
6 0
3 years ago
A polygon has n sides. Two of its sides are right angle while the remaining each side is 144.find n​
deff fn [24]
Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)

Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:

S=90
0
+90
0
+(n−2)144
0
.........(2)

Therefore setting (2) equal to (1) we get

(n−2)180
0
=90
0
+90
0
+(n−2)144
0

⇒(n−2)180
0
−(n−2)144
0
=180
0

⇒(n−2)(180
0
−144
0
)=180
0

⇒(n−2)(36
0
)=180
0

⇒n−2=
36
180
​

⇒n−2=5
⇒n=5+2=7

Hence, the polygon has 7 sides.
4 0
3 years ago
3)<br> Evaluate the expression 2x-5 when x = 3.
Shalnov [3]

Answer:

1

Step-by-step explanation:

Plug in the x to the original equation given.

2(3)-5

2 times 3 is 6 so then,

6-5 =1

4 0
3 years ago
The sum of two numbers is 25. One of he numbers exceeds the other by 9. Find the numbers
Vitek1552 [10]
X + y = 25
x is the smaller number.
y is the smaller number plus 9 (x + 9).

x + (x + 9) = 25
2x + 9 = 25
2x = 16
x = 8

8 + y = 25
y = 17

The numbers are 8 and 17.
3 0
3 years ago
Read 2 more answers
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