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3 years ago

Find the missing length of the triangle.

Mathematics

1 answer:

borishaifa [10]3 years ago

3 0

Answer:

Pitagoras=29

Step-by-step explanation:

H2=21x21+20x20

h2=841

H=29

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Please help? Graph <img src="https://tex.z-dn.net/?f=-3x%5E2%2B12y%5E2%3D84" id="TexFormula1" title="-3x^2+12y^2=84" alt="-3x^2+

mariarad [96]

$-3x^2+12y^2=84$
$12y^2=3x^2+84$
$y^2=\dfrac{x^2}4+7$
$y=\pm\sqrt{\dfrac{x^2}4+7}$

For either square root to exist, you require that $\dfrac{x^2}4+7\ge0$ . This is true for all $x$ , since $\dfrac{x^2}4$ is always non-negative. This means the domain of $y$ as a function of $x$ is all real numbers, or $x\in\mathbb R$ or $(-\infty,infty)$ .

Now, because $\dfrac{x^2}4+7$ is non-negative, and the smallest value it can take on is 7, it follows that the minimum value for the positive square root must be $\sqrt7$ , while the maximum value of the negative root must be $-\sqrt7$ . This means the range is $y\in\mathbb R\setminus(-\sqrt7,\sqrt7)$ , or $|y|\ge\sqrt7$ , or $(-\infty,-\sqrt7]\cup[\sqrt7,\infty)$ .

6 0

4 years ago

Which of the following expressions is equivalent to the expression shown below?

Andreyy89

$2\log_{2}{15}-\log_{2}{5}+\log_{2}{3}=\log_{2}{15^2}-\log_{2}{5}+\log_{2}{3}\\=\log_2{\frac{225\times3}{5}}=\log_2{135}$

7 0

4 years ago

Read 2 more answers

Use the distributive property to writer an equivalent expression 4(6f + 3g - 1)

prisoha [69]

Answer:

24f + 12g - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

4(6f + 3g - 1)

Step 2: Expand

[Distributive Property] Distribute 4: 4(6f) + 4(3g) + 4(-1)
Multiply: 24f + 12g - 4

7 0

3 years ago

Aman is adding -17 + 9. He wants to write -17 as the sum of two numbers so that one of the numbers, when added to 9, will equal

PSYCHO15rus [73]

Answer:

answer is ‘see analysis’

Step-by-step explanation:

7 0

2 years ago

( g(1) = 14 (g(n) = g(n − 1) – 4 Find an explicit formula for g(n). g(n) =

I am Lyosha [343]

Answer:

$g(n)=18-4n$

Step-by-step explanation:

You are given the function g, for which

$g(1)=14,\\\\g(n)=g(n-1)-4$

Find some values of this function:

$g(1)=14\\ \\g(2)=g(2-1)-4=g(1)-4=14-4=10\\ \\g(3)=g(3-1)-4=g(2)-4=10-4=6\\ \\g(4)=g(4-1)-4=g(3)-4=6-4=2\\ \\...$

You can see that ecah next value is 4 less than previous one, so these values form an arithmetic sequence and you have to find the nth term of this sequence. The nth term of arithmetic sequence is

$a_n=a_1+(n-1)d,$

where

$a_1=g(1)=14\\ \\d=-4$

So,

$g(n)=a_n=14+(n-1)\cdot (-4)=14-4n+4=18-4n$

3 0

3 years ago