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insens350 [35]
2 years ago
11

Directio: Draw and label a figure for the condition.

Mathematics
1 answer:
fgiga [73]2 years ago
7 0

Answer:

  • See attached

Step-by-step explanation:

  • Rays AB and AM intersect at point A

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The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0
3 years ago
What is the distance between the points H(-5,9) and J(1,6)?
Ahat [919]

Answer:The answer would be b

Step-by-step explanation:

8 0
3 years ago
Solve the equation −2w+4=−12. URGENT Solution
VMariaS [17]

Answer:

The solution is w=8

Step-by-step explanation:

we have

-2w+4=-12

Solve for w

That means -----> isolate the variable w

Subtract 4 both sides

-2w+4-4=-12-4

-2w=-16

Divide by -2 both sides

-2w/-2=-16/-2

w=8

7 0
3 years ago
Select the polynomial that is a perfect square trinomial.
Alina [70]

Answer:

  16x^2 -8x +1

Step-by-step explanation:

The square of a binomial expands as ...

  (a +b)^2 = a^2 +2ab +b^2

So, you need to look for a trinomial with first and last terms that are perfect squares and a middle term that is double the product of the roots of those terms.

This pattern matches ...

  16x^2 -8x +1 = (4x -1)^2

6 0
2 years ago
Find the total surface area of this cone. Round to the nearest tenth.
leva [86]

Step-by-step explanation:

for given cone:

h = 3 ft, r = 3 ft

Let l be the Slant height of cone.

\therefore \: l =  \sqrt{ {h}^{2}  +  {r}^{2} }  \\  =  \sqrt{ {3}^{2} +  {3}^{2}  }  \\  =  \sqrt{9 + 9}  \\  =  \sqrt{2 \times 9}  \\   \therefore \: l= 3 \sqrt{2}  \: ft \\  \\ total \: surface \: area \: of \: cone \\  = \pi \: r(l + r) \\  = 3.14 \times 3(3 \sqrt{2}  + 3) \\  = 9.42 \times 3( \sqrt{2}  + 1) \\  = 28.26 \times (1.414 + 1) \\  = 28.26 \times 2.414 \\  = 68.21964 \\  \approx \: 68.2 \:  {ft}^{2}

8 0
3 years ago
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