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3 years ago

A 97-foot rope is cut into two pieces so that the longer piece is 5 feet more than three times the

Mathematics

2 answers:

Marina86 [1]3 years ago

8 0

Answer:

Part 1: 74

Part 2: 23

<h2>Trust me it is right</h2><h2>Good luck :)</h2>

neonofarm [45]3 years ago

4 0

Answer:

The lengths are 23 and 74

Step-by-step explanation:

Probably wrong

Let a be the first piece

Let b be the second piece (Shorter piece)

A = 3b + 5

b + 3b + 5 = 97

4b= 92

b = 23

A = 74

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5 cm 13 cm and 12 cm is a right triangle

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I think its not a right triangle because of the cm.

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Fill in the missing monomials: 100x^2= (____)^2<br> ITS NOT 100

choli [55]

Answer:

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3 years ago

Determine the surface area from the folllowing nets. Type the answer in the space provided (no units needed). If the answer is c

frosja888 [35]

Answer:

1.) 138

2.) 55

Step-by-step explanation:

1.) 8 x 6 = 48 x 2 = 96

(middle) 8 x 3 = 24

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2.) (middle) 5 x 5 = 25

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Hope this helped!!

8 0

3 years ago

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

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sergiy2304 [10]

The answer would be: 8.72

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3 years ago