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guajiro [1.7K]
3 years ago
11

I have to find the area of the shaded region

Mathematics
1 answer:
Crank3 years ago
3 0
You see the 2 squares or whatever multiply them one by one so

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Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = (x +11)2 + .
romanna [79]

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

y = 4x² + 88x

factor the expression

y = 4(x² + 22x)

complete the square

y + ? = 4(x² + 22x + ?)

y + ? = 4(x² + 22x + 121)

add 4 • 121 to the left side

y + 4 • 121 = 4(x² + 22x + 121)

multiply

y + 484 = 4(x² + 22x + 121)

y + 484 = 4(x + 11)²

subtract both sides by 484

y = 4(x + 11)² - 484

6 0
3 years ago
Read 2 more answers
Which inequality represents the value of x that ensures triangle abc exists?
olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: (2x+4)+6x>18

8x+4>18

8x>14

x>\dfrac{14}{8}

x>\dfrac{7}{4}      ...(1)

Case II: (2x+4)+18>6x

2x+22>6x

22>4x

\dfrac{22}{4}>x

\dfrac{11}{2}>x     ...(2)

Case III: 6x+18>2x+4

6x-2x>4-18

4x>-14

x>-\dfrac{14}{4}

x>-\dfrac{7}{2}     ...(3)

On combining (1), (2) and (3), we get

\dfrac{7}{4}

Therefore, the correct option is A.

3 0
3 years ago
the expression 12g gives the number of kilometers a car can travel using g liters of gasoline how far can this car travel on 5 1
dmitriy555 [2]
The answer is 66 kilometers.

Start with the given expression: 12g where 'g' standts for the liters of gasoline.

Input your data and solve: 12 * 5.5 = 66
3 0
3 years ago
find the perimeter and area of the polygon with the given vertices. P(-3,4), Q(1,4), R(-3,-2), S(3,-2)
Elza [17]

Answer:

OMG!!!!!!!!!OMG!!!OMG

5 0
3 years ago
A painting measure 40 cm by 35 cm how many squared cm does its surface cover
miskamm [114]

Answer: Its surface covers  1400 cm²

Explanation:

Since the length of painting = 40 cm

Breadth of painting = 35 cm

Since we know that area of rectangle is product of dimensions.

∴ Area of painting = length × breadth

= 40 cm × 35 cm

= 1400 cm²

∴ Its surface cover  1400 cm².

8 0
3 years ago
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