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Lesechka [4]
3 years ago
5

The area of a square is given by X to the second power, where ask is the length of one side. Mary’s original garden was in the s

hape of a square. She has decided to double the area of her garden write an expression that represents the area of Mary’s new garden evaluate the expression if the side length of Mary’s original garden was 8 feet
Mathematics
1 answer:
Maurinko [17]3 years ago
4 0

Answer:

A = 2x²; 128 ft²  

Step-by-step explanation:

Area of original garden = x²

Let A = area of new garden. Then

      A = 2x²

If x = 8 ft,

  A = 2 × 8² = 2 × 64 = 128 ft²

The area of the new garden is 128 ft² .

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Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

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Last weekend, Joshua's parents drove 810 miles in 9 hours when they came to visit him. What was their
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What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7/8 x^2+x+ 31/8
kobusy [5.1K]

Answer:

The length of line segment is 5

Step-by-step explanation:

we are given equation of parabolas as

y=x^2-\frac{11}{4}x-\frac{7}{4}

y=-\frac{7}{8}x^2+x+\frac{31}{8}

Firstly, we will find intersection points

we can set them equal

and then we can solve for x

x^2-\frac{11}{4}x-\frac{7}{4}=-\frac{7}{8}x^2+x+\frac{31}{8}

Multiply all sides by 8

x^2\cdot \:8-\frac{11}{4}x\cdot \:8-\frac{7}{4}\cdot \:8=-\frac{7}{8}x^2\cdot \:8+x\cdot \:8+\frac{31}{8}\cdot \:8

8x^2-22x-14=-7x^2+8x+31

15x^2-30x-45=0

now, we can factor it

15(x^2-2x-3)=0

15(x-3)(x+1)=0

x=-1,x=3

now, we can find y-values

At x=-1:

y=(-1)^2-\frac{11}{4}(-1)-\frac{7}{4}

y=2

so, we get point as

(-1,2)

At x=3:

y=(3)^2-\frac{11}{4}(3)-\frac{7}{4}

y=-1

so, we get point as

(3,-1)

now, we can find distance between these two points

(-1,2)

x1=-1 , y1=2

(3,-1)

x2=3 , y2=-1

now, we can find distance

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

now, we can plug values

D=\sqrt{(3+1)^2+(-1-2)^2}

D=5

So,

The length of line segment is 5

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3 years ago
Please help me!!!! i cant see files so just tell me!
Serhud [2]

Answer:

D) 98/280 = p/100

Step-by-step explanation:

Since p is the missing percentage, it has to be OVER 100, so C is eliminated.

Total:

182 + 98 = 280

Spotted sheep probability:

98/280 = 0.35 or 35%

To check:

\frac{98}{280} =\frac{p}{100} \\\\280p=9800\\x=35

7 0
3 years ago
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