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Crank
2 years ago
14

Which of the following equations can be used to solve for x? select all that apply

Mathematics
1 answer:
kenny6666 [7]2 years ago
6 0

Answer:

Everything but B

Step-by-step explanation:

When solving you can not have the degrees on the top

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Item 11
marysya [2.9K]

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

7 0
2 years ago
Hi guys<br>I need 3 minus and plus operations with answer thx!​
nata0808 [166]

1999+1001=3000 1091+1009=3000 2000+1000=3000

3000-1001=1999 3000-1009=1091 3000-2000=1000

8 0
2 years ago
Match the equal dominoes then write the true number sentences
Likurg_2 [28]
<span>The answer to this question is the attached image below: It is the given dominoes in each number that matches to the same number of dominoes that former options has to the latter choices. As shows the solution is given below as to clearly show the equation which is designated to the desired domino.</span>

7 0
3 years ago
The model builder has 4 pieces of balsa wood that are 4 cm, 5 cm, 6 cm, and 7 cm length. How many different combinations of 3 pi
s2008m [1.1K]
About 22 i think hope it helps in any way

7 0
3 years ago
Tell whether each scale reduces enlarges or preserves the size of an actual object
mr_godi [17]

Given:

1 m : 25 cm

8 in : 1 ft

12 in : 1 ft

 

First, we convert each variable given on the right:

 

1 m : 0.25 m (this means that 1 meter is made to represent 25 cm)

8 in : 12 feet (this means that 8 in is made to represent 1 feet)

12 in : 12 in (this means that 12 in is made to represent 1 feet)

 

<span>After converting the variables, we can now know if the ratios are enlargement, reduction or preservation. Therefore:

1 m : 25 cm = Enlarge</span>

<span>8 in : 12 feet = Reduce
12 in = 1 ft = Preserve</span>

4 0
3 years ago
Read 2 more answers
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