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barxatty [35]
3 years ago
11

Solve by taking the square root of both sides 4(x-4)^2-180=0

Mathematics
1 answer:
arsen [322]3 years ago
5 0

Answer:

x = 4 ± 3\sqrt{5}

Step-by-step explanation:

Given

4(x - 4)² - 180 = 0 ( add 180 to both sides )

4(x - 4)² = 180 ( divide both sides by 4 )

(x - 4)² = 45 ( take the square root of both sides )

x - 4 = ± \sqrt{45} = ± 3\sqrt{5}

Add 4 to both sides

x = 4 ± 3\sqrt{5}

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49 7th graders and 35 8th graders show up at football tryouts choose a ratio that represents 7th to 8th graders at tryouts?
Alja [10]

Answer:

7:5

Step-by-step explanation:

49/7 = 7 and 35/7 = 5

to get a ratio, divide both side by the same number that is a facttor for both.

6 0
3 years ago
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3 years ago
Solve the system of equations. -5x+2y=9. y=7x
il63 [147K]

- 5x + 2y = 9 \\ y = 7x \\  \\  - 5x + 2 \times 7x = 9 \\  - 5x + 14x = 9 \\ 9x = 9 \\ x = 1 \\  \\ y = 7 \times 1 = 7 \\

Answer: (1; 7)

7 0
3 years ago
Due in 10 min help! <br> Find t.
lys-0071 [83]

Given:

A right angle triangle with angles 45, 45, 90 degrees.

Hypotenuse of the triangle = 7\sqrt{2} mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

Using this trigonometric ratio in the given triangle, we get

\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}

\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}

\dfrac{7\sqrt{2}}{\sqrt{2}}=t

7=t

Therefore, the value of t is 7 millimetres.

8 0
3 years ago
Please help me with a explanation
blagie [28]

Answer:

x = -3   or   x = 3

Step-by-step explanation:

Subtract 9 from both sides.

x^2 - 9 = 0

Factor the left side. There is no common factor of the terms. It is a binomial which is the difference of two squares, so it factors into the product of a sum and a difference.

(x + 3)(x - 3) = 0

Set each factor equal to zero.

x + 3 = 0   or   x - 3 = 0

Solve each equation.

x = -3   or   x = 3

3 0
3 years ago
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