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Anit [1.1K]
2 years ago
15

Solve for the unknown. 3x^3=812^x-5 5x=25^3x+5 27^4x=9^x+1 3^x=9^x+5

Mathematics
1 answer:
sesenic [268]2 years ago
7 0
Sorry it's quite complex, simplify then... had to use an nspire

1. x=1.22248
2. x=15624.8
3. x=0.057522 (shown in picture)
4. x=-0.732487

too bad i cant upload more than 1 pic

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in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.
Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

hypotenuse^2=base^2+perpendicular^2

Use pythagoras formula for triangle PQM.

PM^2=QM^2+PQ^2

PM^2=(6)^2+(8)^2

PM^2=36+64

PM^2=100

PM=10

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

PQ^2=QR^2+PR^2

(8)^2=QR^2+x^2

64-x^2=QR^2                   .....(1)

Use pythagoras formula for triangle MQR.

MQ^2=QR^2+MR^2

(6)^2=QR^2+(10-x)^2

36=QR^2+x^2-20x+100

36-x^2+20x-100=QR^2        .... (2)

From equation (1) and (2) we get

36-x^2+20x-100=64-x^2

20x-64=64

20x=128

x=6.4

Therefore length of PR is 6.4 units and option 4 is correct.

3 0
2 years ago
What is the domain and range of points (-6,-6) (6,2)
dusya [7]

Answer:domain {-6,6} range {-6,2}

6 0
2 years ago
Given the equation y = 3x − 4, what is the value of x when y = 5? A) 3 B) 6 C) 9 D) 12
timurjin [86]

Answer:

3

Step-by-step explanation:

the equation would be 5 = 3(3) - 4

which is 9 - 4 = 5

7 0
3 years ago
a segment has and endpoint at (-6, 8). The midpoint is at (-6, 2). What are the coordinates of the other endpoint?
Montano1993 [528]

Answer:

(-6,-4)

Step-by-step explanation:

The first endpoint of the line is (-6,8), we can call

x_1 = -6

and

y_1 = 8

Let the last endpoint have coordinates (x_2,y_2)

Also, the midpoint formula is:

(x_1+x_2)/2 , (y_1+y_2)/2

Now, plugging these values is the formula, we get:

(-6+x_2)/2 = -6

-6+x_2=-12

x_2=-12+6 = -6

x_2 = -6

Also

(8+y_2)/2=2

8+y_2=4

y_2=4-8=-4

y_2 = -4

The coordinates of the other endpoint is (-6,-4)

8 0
2 years ago
Solve the following equation by factoring. 6x 2 - 5x = 50 {-5/3, 5} {-5/2, 10/3} {-10/3, 5/2}
rosijanka [135]
The correct answer is <span>{-5/2, 10/3}.</span>
6 0
2 years ago
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