3 years ago

HELP !!

Mathematics

1 answer:

VLD [36.1K]3 years ago

3 0

Start at 4 on the y axis

move 2 units up and 3 units right

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In the right ΔABC, AN is the altitude to the hypotenuse. Find BN, AN, and AC, if AB=2√5 in and NC= 1 in.

kipiarov [429]

Answer:

$BN=4\ \text{in}$

$AN=2\ \text{in}$

$AC=\sqrt{5}\ \text{in}$

Step-by-step explanation:

Let $BN=x$

$BC=c$

$NC=y=1\ \text{in}$

$AB=a=2\sqrt{5}\ \text{in}$

$AC=b$

We have the relation

$\dfrac{BC}{AB}=\dfrac{AB}{BN}\\\Rightarrow \dfrac{c}{a}=\dfrac{a}{x}\\\Rightarrow c=\dfrac{a^2}{x}\\\Rightarrow x+1=\dfrac{a^2}{x}\\\Rightarrow x^2+x=20\\\Rightarrow x^2+x-20=0\\\Rightarrow x=\frac{-1\pm \sqrt{1^2-4\times 1\times \left(-20\right)}}{2\times 1}\\\Rightarrow x=4,-5$

$\boldsymbol{BN=4\ \text{in}}$

$h=\sqrt{a^2-x^2}\\\Rightarrow h=\sqrt{(2\sqrt{5})^2-4^2}\\\Rightarrow h=2\ \text{in}$

$\boldsymbol{AN=2\ \text{in}}$

$b=\sqrt{h^2+y^2}\\\Rightarrow b=\sqrt{2^2+1^2}\\\Rightarrow b=\sqrt{5}\ \text{in}$

$\boldsymbol{AC=\sqrt{5}\ \text{in}}$

8 0

3 years ago

What is the sum of -1/11 and 5/11 4/11 6/11 -4/11 -6/11

kaheart [24]

-1/11 + 5/11
= 5/11 - 1/11
= 4/11

Answer
4/11

6 0

3 years ago

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Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? {–12, 2} {–2, 12}

guajiro [1.7K]

Answer: I could be wrong so don't get your hopes up but I believe the solution set would be {-2,12}

Step-by-step explanation:

3 0

3 years ago

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The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x

LekaFEV [45]

We have that (x) + (x+2) + (x+4) = 126 so 3x + 6 = 126 can be used to find the first integer.

3x + 6 = 126
3x = 120
x = 40

The numbers are 40, 42, 44

4 0

3 years ago

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<img src="https://tex.z-dn.net/?f=5x%2B3%5C%20%20%5Ctextless%20%5C%2016" id="TexFormula1" title="5x+3\ \textless \ 16" alt="5x+

LuckyWell [14K]

5x < 13 i think hope this helps

8 0

3 years ago