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Anettt [7]
2 years ago
7

Find two numbers such that the sum of their squares is 100. The square of the larger number is equal to the sum of the product o

f the larger numberand four times the smaller number and eight times the larger number.
Mathematics
1 answer:
Shtirlitz [24]2 years ago
3 0

Answer with Step-by-step explanation:

Let x and y are two  numbers

According to question

x^2+y^2=100....(1)

Suppose x is larger than y

x^2=x(4y+8x)

x=4y+8x

x-8x=4y

-7x=4y

y=-\frac{7}{4}x

Substitute the value of y

x^2+(-\frac{7}{4}x)^2=100

x^2+\frac{49}{16}x^2=100

\frac{16x^2+49x^2}{16}=100

\frac{65}{16}x^2=100

x^2=\frac{16\times 100}{65}

x=\sqrt{\frac{1600}{65}}=\frac{40}{\sqrt{65}}=\frac{40}{65}\sqrt{65}=\frac{8}{13}\sqrt{65}

y=-\frac{7}{4}\times \frac{8}{13}\sqrt{65}=-\frac{14}{13}\sqrt{65}

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Alex787 [66]

Answer:

goldfish is 15 and guppies is 11

Step-by-step explanation:

Given data

let the number of goldfish be x

and the number of guppies be y

so

x+y= 25----------1

and

3x+4y= 86-------2

solve 1 and 2

x+y= 25

3x+4y= 86

from 1

x= 25-y

put this in 2

3(25-y)+4y= 86

75-3y+4y= 86

75+y= 86

y= 86-75

y=11

put y= 11 in 1

x+11= 26

x= 26-11

x= 15

Hence goldfish is 15 and guppies is 11

5 0
2 years ago
The event planner wants to put a podium at one of the foci. Which describes where the podium could be located relative to the ce
zimovet [89]

From the coordinate plane, the podium that could be located relative to the center will be B. 288 feet west.

<h3>Coordinate plane</h3>

From the complete information, there is a park in Washington and the event planner plots the park on a coordinate plane.

The table contains points along the perimeter of the park. Since the event planner wants to put a podium at one of the foci, the point where the podium could be located relative to the center will be 288 feet west.

Learn more about coordinate plane on:

brainly.com/question/13854649

8 0
2 years ago
In a right triangle, the length of one leg is 6 units. The length of the other leg is 8 units. What is the length of the hypoten
lozanna [386]
hypotenuse =  \sqrt{6^2+8^2}= \sqrt{36+64}= \sqrt{100}=10 \ units
7 0
3 years ago
Read 2 more answers
What is the value of the expression below?<br> 72 ÷ 4.5x3+8
Fofino [41]

Answer:

56

Step-by-step explanation:

Apply PEMDAS:

72 / 4.5*3+8\\\\16*3+8\\\\48+8\\\\\boxed{56}

4 0
3 years ago
What are the zeros of the polynomial function f(x)=x(x-4)(x+9)? HELP NEEDED!!!!
Kipish [7]

Answer: 0, 4, -9

Set the equation equal to zero.

x(x - 4)(x + 9) = 0

Solve for x by setting each factor equal to zero.

The factors in the equation are x, (x - 4), and (x + 9).

  • x = 0
  • (x - 4) = 0

        x = 4

  • (x + 9) = 0

        x = -9

The zeros of the function are 0, 4, and -9.

7 0
2 years ago
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