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Elis [28]
3 years ago
15

The area of a square is tripled by adding 10 cm to one dimension and 12 cm to the other. Determine the side length of the square

.
Mathematics
1 answer:
Rina8888 [55]3 years ago
4 0
Area = length *width
A = x²
3x² = (x+10)(x+12)
3x² = x²+10x+12x+120
3x² = x²+22x+120
3x²-3x² = x²+22x+120-3x²
0 = -2x²+22x+120
Factor to solve for x: 
-2(x²-11x-60)
(x+4)(x-15)
x = -4  & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.
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Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.
ollegr [7]

Answer:

a(1)= -3

a(n)=a(n-1) (-3)

Step-by-step explanation:

hope this helps

8 0
3 years ago
The area of the entire figure below is 111 square unit.
Ivahew [28]

The striped rectangle has a total area of 69,375 cm².

<h3>How to calculate the area of the striped rectangle?</h3>

To find the area of the striped rectangle we must carry out the following procedures.

Find the area of each segment of the rectangle, that is, what is the area of each of the 24 squares that make up the rectangle, for that we divide the 111cm² of the total area into 24.

  • 111cm² ÷ 24 = 4.625cm²

According to the above, we infer that each square has an area of 4.625cm².

On the other hand, to find the area of the striped rectangle we must take into account that it is 5 squares long by 3 squares high, that is, its area is 15 squares.

  • 3 × 5 = 15

Finally, each square has an area of 4.625cm², so to find the total area of the striped area we must multiply the area of each square by the number of squares.

15 × 4.625cm² = 69.375cm²

Learn more about areas in: brainly.com/question/27683633

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7 0
2 years ago
(02.02 MC) Triangle ABC is shown. A is at negative 2, 1. B is at negative 1, 4. C is at negative 4, 5. If triangle ABC is reflec
Bezzdna [24]

Given:

The vertices of a triangle ABC are A(-2,1), B(-1,4) and C(-4,5).

Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.

To find:

The point B'.

Solution:

If a figure reflected over x-axis, then

(x,y)\to (x,-y)

B(-1,4)\to B_1(-1,-4)

If a figure reflected over y-axis, then

(x,y)\to (-x,y)

B_1(-1,-4)\to B_2(-(-1),-4)

B_1(-1,-4)\to B_2(1,-4)

If a figure rotated 180 degrees about the origin, then

(x,y)\to (-x,-y)

B_2(1,-4)\to B'(-(1),-(-4))

B_2(1,-4)\to B'(-1,4)

So, the coordinate of point B' are (-1,4).

Therefore, the correct option is A.

6 0
2 years ago
$35+0.50()=52 what does this equal
katen-ka-za [31]

Answer:

(34)

Step-by-step explanation:

We are looking for what number times .50 makes the equation true.

So, just do backwards equation:

52 - 35

==> 17

Thus, meaning that what multiplied by 0.50 is equal to 17?

[tex]0.50 * 34[tex]

[tex]==> 17[tex]

6 0
3 years ago
Read 2 more answers
Y = 3x - 8<br>y = 4 - X​
mihalych1998 [28]

Answer:

Step-by-step explanation:

Using substitution method.

y = 3x - 8  -------(i)

y = 4 - x -------- (ii)

Substitute y = 3x-8 in equation (ii)

3x -  8= 4 - x                      {Add x to both sides}

3x - 8 + x = 4 - x +x

4x - 8 = 4         {Add 8 to both sides}

4x = 4 + 8

4x = 12    {Divide both sides by 4}

x = 12/4

x = 3

Substitute x = 3 in Equation (i)

y = 3*3 - 8

y = 9 - 8

y = 1

5 0
3 years ago
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