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Ann [662]
3 years ago
8

Write an expression that represent the sum of r and 7

Mathematics
1 answer:
Butoxors [25]3 years ago
3 0
"The sum of r and 7" can be represented as r + 7
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The difference of the square of a number and 28 is equal to 3 times that number find the positive solution
lutik1710 [3]
<h2>The required positive number is 7.</h2>

Step-by-step explanation:

Let the number = x

To find, the positive number = ?

According to question,

x^{2}-28=3x

⇒ x^{2} - 3x - 28 = 0

By Factorisation method,

⇒ x^{2} - 7x + 4x - 28 = 0

⇒ x(x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x - 7 = 0 or, x + 4 = 0

⇒ x  = 7 or, x = - 4 [ - 4 is a negative number)

⇒ x  = 7

Thus, the required positive number is 7.

8 0
3 years ago
Cosx=4/5 what is sin2x cos2x and tan2x
earnstyle [38]

Answer:

-24/5

Step-by-step explanation:

The solution to the problem is as follows:

cscx < 0 means 1/sinx < 0, or sinx < 0.  

sinx = -3/5 because you're dealing with a 3-4-5 triangle, and we established

sinx is negative.  

sin2x = 2sinxcosx = 2*-3/5*4/5 = -24/25  

cos(2x) = cos^2(x) - sin^2(x) = 16/25 - 9/25 = 5/25 = 1/5  

tan2x = sin2x / cos2x = -24/5

4 0
2 years ago
If angle∠ A and angle∠ B are supplementary angles and angle∠ A is eighteight times as large as angle∠ ​B, find the measures of a
Shalnov [3]
A = 8B
A + B = 180
8B + B = 180
9B = 180
B = 20
A = 8 * 20 = 160
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