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ra1l [238]
3 years ago
13

Add and simplify

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Answer:

5x^2-x-4

Step-by-step explanation:

Combine the terms.

You might be interested in
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
Choose the correct solution and graph for the inequality.
Y_Kistochka [10]
The answer to question one would be "D" y<-3

For question two the answer would be "C" x<5

Hope that helps!
6 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION!! Thanks
Gre4nikov [31]

Answer:

20% probability

Step-by-step explanation:

First, we need to calculate the area of all the figures inside the rectangle.

Area of triangle= 1/2 BH

So, 3x2=(6)

Area of Square= L^2

3x3=(9)

Area of rectangle= LxW

=60.

60+9+6= 75.

75 is the total area.

Now, lets find the added area of only the triangle and square.

9+6= 15

The probability will be 15/75=

Convert into percent form

= 20%

Hope this helps and please mark me brainliest :)

7 0
1 year ago
Need help will give 15 points
Fantom [35]

Answer:

y = -2/3x + 6

Step-by-step explanation:

To find the slope, find how much y changes in proportion to x. Here, when x changes by 1, y changes by -2/3. So, the number before x is -2/3.

To find the y-intercept, we need to find what y will be when x is 0. Since we know that when x is 1, y is 16/3, and when x decreases by 1, y increases by 2/3. So, when x is 0, y is 16/3 + 2/3, which is 18/3, or 6.

5 0
3 years ago
Solve 6x - 3y = 12 for y<br> A. y = 6x + 4<br> B. y = 2x - 4<br> C. y = -6x + 12<br> D. y = 2x - 12
DedPeter [7]

Answer: <em>y = 2x − 4</em>

The correct answer is <em>B)</em> <em>y = 2x − 4</em>

Step-by-step explanation:

<u>Move all terms that don't contain y to the right side and solve:</u>

<em>y = −4 + 2x</em>

<u>Then reorder −4 and 2x:</u>

<em>y = 2x − 4</em>

<u>Final answer is:</u>

<em>B) y = 2x − 4</em>

8 0
2 years ago
Read 2 more answers
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