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1 year ago

Find the area of the triangle below.

Mathematics

1 answer:

Rom4ik [11]1 year ago

6 0

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

in our case we have a baseline with its associated height right there. and so the area is

17 × 6 / 2 = 17 × 3 = 51 ft²

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George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56

marshall27 [118]

Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

x = 2y

Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

x + y + z ≥ 56 - - - - - - - - - - 1

Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

4y - 4 ≥ 56

4y ≥ 56 + 4

y ≥ 60/4

y ≥ 15

z = y - 4 = 15 - 4

z ≥ 11

8 0

2 years ago

Which graph represents y=^3sqrt x-5

Lelechka [254]

Answer:

Step-by-step explanation:

Graph 4

7 0

2 years ago

Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree

kompoz [17]

Answer:

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zero 1 with multiplicity 3.

$p(x) = (x-1)^3$

Zero 4 with multiplicity 2.

Considering also the zero 1 with multiplicity 3.

$p(x) = (x-1)^3(x-4)^2$

Zero -3 with multiplicity 1:

Considering the previous zeros:

$p(x) = (x-1)^3(x-4)^2(x-(-3)) = (x-1)^3(x-4)^2(x+3)$

Degree is the multiplication of the multiplicities of the zeros. So

3*2*1 = 6

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

8 0

2 years ago

On Monday Greg walks the entire length of a trail that is 3 1/2 miles long on Tuesday he walks the entire length of a trail that

-Dominant- [34]

Answer:

Step-by-step explanation:

3.5+4.6+2.5 = 10.6

7 0

2 years ago

Read 2 more answers

porque una roca pequeña se hunde en el agua mientras los barcos no se hunden apesar de ser tan pesados

Nataliya [291]

Answer:

Step-by-step explanation: una roca se unde porque aunq tiene una forma solida igualmente que un barco, la roca no tiene aire dentro de ella, a diferencia del barco que es hueco por dentro, contiene aire causando que flote y no pueda hundirse

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2 years ago