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natima [27]
3 years ago
12

Can someone answer question 10-11-12 for me.

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Width of the rectangle is 12 cm.

Solution:

The length of a rectangle is 4 cm more than its width , and the area of the rectangle is 96 cm². Find the width of the rectangle.

Given data:

Let x be width of the rectangle.

Length of the rectangle = (x + 4) cm

Area of the rectangle = 96 cm²

length × breadth = 96

(x+4)\times x =96

x^2+4x=96

Subtract 96 from both sides.

x^2+4x-96=0

Let us factor the polynomial.

x^2+8x-12x-96=0

Take x common in 1st two terms and -12 common in next two terms.

x(x+8)-12(x+8)=0

Now, take (x + 8) common in both terms.

(x+8)(x-12)=0

x + 8 = 0 and x - 12 = 0

x = -8 and x = 12

Dimension cannot be in negative terms, so ignore x = -8.

Width = 12 cm

Width of the rectangle is 12 cm.

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6. All angles in the figure below are right angles. What is the area of the figure? (4 point)
jok3333 [9.3K]

Answer:

Area the figure = 45 - 9 = 36 units² ⇒ last answer

Step-by-step explanation:

<em>"I have added screenshot of the complete question as well as the diagram"</em>

All the angles of the figure are right angles

<u>From the attached figure:</u> <em>we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units</em>

∵ All the angles of the figure are right angles

∴ We can consider that the figure of dimensions 9 units and 5 units

  as a rectangle

∵ Area of any rectangle A = L × H , where L, H are the dimensions

  of the rectangle

∵ L = 9 units and H = 5 units

∴ Area of the rectangle = 9 × 5 = 45 units²

- The dimensions of the cutting part are 3 units and

  [9 - (2 + 4) = 9 - 6 = 3 units]

∴ The cutting part is a square

∵ Area any square = S², where S is the length of the side of the square

∵ S = 3 units

∴ The area of the cutting part = 3² = 9 units²

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5 0
3 years ago
Honestly I dont know how to do this just please help me
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F(x) = 3x - 2
f(8) = 3(8) - 2
f(8) = 24 - 2
f(8) = 22
f(-5) = 3(-5) - 2
f(-5) = -15 - 2
f(-5) = -17
f(8) - f(-5) = 22 - (-17)
f(8) - f(-5) = 39
Hope this helped! Good luck! :)
7 0
3 years ago
IS this a function or no
lesya [120]
Yep it is a function
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3 years ago
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