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prohojiy [21]
3 years ago
8

Solve the equation. -3n-4n-17=25 n=?

Mathematics
2 answers:
stepladder [879]3 years ago
5 0

Answer:

n = -6

Step-by-step explanation:

-3n-4n-17=25

Combine like terms

-7n -17 = 25

Add 17 to each side

-7n -17+17 = 25+17

-7n = 42

Divide each side by -7

-7n/-7 = 42/-7

n = -6

Leno4ka [110]3 years ago
4 0

Answer:

n=-6

Step-by-step explanation:

-3n-4n-17=25

-7n-17=25

-7n=42

n=-6

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Can you help? Having a hard time figuring this out. Thanks
Dmitrij [34]

Answer:

3a) The value of  x = 56

3b) The measure of ∠ H T M = 90°

3c) The radius of the circle = 53

Step-by-step explanation:

3a) ∵ A F is a tangent to the circle O at point F

∵ Secant AH intersects circle O at point T

∴ (A F)² = (A T)(A H)

∴ 7( x + 7) = (21)² ⇒ ÷ 7

∴ x + 7 = 63

∴ x = 63 - 7 = 56

3b) ∵ HM is a diameter

∴ The measure of the arc HM = 180° ⇒ semi-circle

∵ ∠ H T M is inscribed angle subtended by the arc HM

∴ m ∠ H T M = half the measure of arc HM

∴ m ∠ H T M = 180° ÷ 2 = 90°

3c) ∵ Δ H T M is a right angle triangle at T

∴ (H M)² = (M T)² + (H T)² ⇒ Pythagorean theorem

∴ (H M)² = (90)² + (56)²

∴ (H M)² = 11236

∴ HM = \sqrt{11236} = 106

∴ OM = 106 ÷ 2 = 53

∵ OM is the radius of the circle O

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4 0
3 years ago
Find the area of the composite figure
nordsb [41]

Answer:

162 in

Step-by-step explanation:

Split this shape into two rectangles:

The big rectangle has a base of 16 and a height of 7 (subtract 12-5=7 for height) Multiply base*height to get area of big rectangle:

16*7 = 112 in

The small rectangle has a base of 10 and a height of 5. Mulitply base*height to get area of small rectangle:

10*5 = 50 in

Add both areas together:

112+50= 162 inches

5 0
3 years ago
3² • 9³ = [ ]<br>solve ​
RideAnS [48]

Answer:

3⁸ or 6561

Step-by-step explanation:

First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

There are no parentheses, so let's solve the exponents.

3² • 9³

3² = 9

9³ = 729

Your expression is:

9 • 729

Now let's multiply.

= 6561

This number can also be expressed with exponents.

Since 9 = 3², 9³ = 3²⁽³⁾

Now your expression is:

3² • 3²⁽³⁾

First, solve the exponents by multiplying.

3² • 3⁶

When you multiply two expressions with exponents that have the same base (3), you add the exponents.

3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸

3⁸ also equals  6561.

Your answer is 3⁸ or 6561.

Hope this helps!

4 0
3 years ago
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