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mart [117]
3 years ago
11

Which of the following are solutions to the inequality -7x+14>-3x-6? select all that apply

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0

Answer:

A, C, E, F, G

Step-by-step explanation:

let's actually solve the inequality -7x+14>-3x-6:

Adding 7x to both sides simplifies the inequality to 14> 4x-6.

Adding 6 to both sides isolates 4x:  20 > 4x.

Finally, dividing both sides by 4 yields 5 > x, or x < 5.

We must now determine which of the possible solutions A-G are less than 5:

A, C, E, F, G

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Express answer in exact form.
bazaltina [42]
The answer is 5.13 in²

Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
</span>
Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2            (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in

Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in

Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²

Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²

Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 =  5.13 in²
6 0
3 years ago
Read 2 more answers
DUDE ACTUALLY HELP PLEASE GIVING BRAINLIEST
Troyanec [42]

Answer:

154°

Step-by-step explanation:

They are alternate angles.

3 0
3 years ago
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What is the positive solution to the equation 0=13x2−3?
goblinko [34]

Answer:

x = \sqrt{39} /13 ≈ 0.48

Step-by-step explanation:

13x² = 3

x² = 3/13

rationalize the denominator

x = \sqrt{39} /13

6 0
3 years ago
Write the equation of the line with the following characteristics.
Alexandra [31]

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 5, hence

y = 5x + c

The line passes through the y- axis at (0, 3) ⇒ c = 3

y = 5x + 3 ← equation of line

6 0
3 years ago
En Scale Factor
aksik [14]

Answer: (0, -2.5)

Step-by-step explanation:

I got it right on the quiz, hope this helps!✨

6 0
3 years ago
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