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sergejj [24]
3 years ago
9

What is the slope- intercept form of 11x-2y=-14

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0
The answer is y= 11/2x+7
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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
PLEASE HELP I'M CONFUSED! The measures of two adjacent angles have a ratio of 3:5. The sum of the measures of the two adjacent a
Paraphin [41]
75<span>°. So divide 120 by 8, then multiply 8 with 15. That's the measure of the larger angle. </span>
5 0
3 years ago
Read 2 more answers
Which number is greater 20% or 0.02
mylen [45]
To compare these two values, we need them to be in the same form.  

To convert 20% into a decimal, we divide 20/100, or 0.20.  

When comparing decimals, we know that 0.2 > 0.02. 

Therefore, 20% > 0.02.  (20% is greater than 0.02)
3 0
3 years ago
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A ferry is travelling at a constant speed back to the dock, as shown in the graph. Which
mario62 [17]

Answer:

c. y = -35*x + 105

Step-by-step explanation:

Lo que demos hacer es calcular los puntos cuando x = 0 y cuando x = 3, es decir el inicio y el fin del recorrido.

Cuando x es igual 0, y = 105, por lo tanto, la función sería:

y = A*x + 105

Cuando x = 3, y = 0, por lo tanto:

0 =  3*A +  105

resolvemos para A:

3*A =  -105

A = -105/3

A =  -35

Por lo tanto la función es:

y = -35*x + 105

es decir, la opción c.

7 0
3 years ago
What is 1/5 divided by 1/2
Len [333]
The answer to your question is 0.1
4 0
3 years ago
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