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pantera1 [17]
3 years ago
8

Simplify the following expression.

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0
Remember that exponentioal rule
x^m times x^n=x^(m+n)
therefor
7^4 times 7^-6=7^(4-6)=7^(-2)
remember the other rule
x^-m=1/(x^m) so
7^-2=1/(7^2)=1/49
answe ris A
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Find the tangent of angle Θ in the triangle below.
Rina8888 [55]

Answer: \frac{\sqrt{65}}{4}

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

\sqrt{9^{2}-4^{2}}=\sqrt{65}

Therefore,

\tan \theta=\boxed{\frac{\sqrt{65}}{4}}

4 0
2 years ago
Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6,3). Whi
PolarNik [594]

Answer:

(0, -5)

Explanation:

The answer is (0, -5) on Edge 2020

have a great rest of your day!! \(^u^\)

4 0
3 years ago
Read 2 more answers
What is the solution to the system of linear equations graphed below?
OlgaM077 [116]

Option C: There are no solutions

Explanation:

The linear equations is graphed.

We need to determine the solution of the system of equations.

The solution of the equations can be determined by finding the point of intersection of the two equations.

From the figure, it is obvious that the two equations are parallel to each other.

Also, the parallel lines have the same slope and the parallel lines never intersect.

Hence, the system consisting of parallel lines have no solution.

Therefore, the solution to the system of linear equations graphed is no solution.

Thus, Option C is the correct answer.

5 0
3 years ago
Anyone helppp meee please ....
borishaifa [10]
Yep, this one seems sneaky and confusing.  But it's not so bad if you remember the things you learned about parallel lines.  (It can't be too tough ... I learned them
in 1954 and I still know how to use them.)

Look at the picture.  Line ' l ' is parallel to line ' m ', and the horizontal line on the bottom (which is not labeled) is a transversal that cuts the parallel lines.

Did you learn that interior angles on the same side of the transversal are equal ?
I'm sure you did, although it may have a new name nowadays.

Anyway, with the help of that 'tool', angle-'B' and angle-'D' are equal.  So . . .

(angle-A + angle-B) = 120

angle-B = 65

angle-A = 120 - 65 = <u>55 degrees</u>.
4 0
3 years ago
A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m
Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0
3 years ago
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