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mihalych1998 [28]
3 years ago
6

An 18 foot ladder is leaned against a wall if the base of the ladder is 8 feet from the wall how high up on the wall will the la

dder reach

Mathematics
1 answer:
Aloiza [94]3 years ago
4 0

Answer:

16.12ft

Step-by-step explanation:

Check attachment

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What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?
Anastasy [175]
ANSWER

The required equation is

y = 5x + 1



EXPLANATION

The given line passes through the point

(5,0) \: and \: (0,1)


The slope of this line is given by the formula,

m=\frac{y_2-y_1}{x_2-x_1}


This implies that,

m =  \frac{1 - 0}{0 - 5}

m =  -  \frac{1}{5}


The product of the slope of the two perpendicular lines should be negative one.

Thus,

m_1\times m_2=-1
This implies that,


-  \frac{1}{5} \times m_2=-1


We multiply through by
- 5
to obtain,


m_2=-1 \times  - 5

m_2=5
Therefore the slope of the line perpendicular to the given line is
5.


We use the slope intercept formula
y =m x + b

where
b = 1
is the y-value of the y-intercept.



We therefore have,


y = 5x + 1

as the required equation.


The correct answer is C.
8 0
2 years ago
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Given a mean of 61.2 and a standard deviation of 21.4, what is the z-score of the value 45 rounded to the nearest tenth?0.8−0.90
kherson [118]

Given: Mean μ = 61.2 and standard deviation σ =21.4

The Z score of the value x=45 is given by

Z = \frac{x - mean}{standard deviation}

Z = \frac{45 - 61.2 }{21.4}

Z = \frac{-16.2}{21.4}

Z = -0.757

The z-score value for 45 rounded to nearest tenth is -0.8

6 0
3 years ago
What is the square root of -1?
NeX [460]

Answer:

i

Step-by-step explanation:

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3 years ago
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Type the correct answer in each box. Use numerals instead of words.
Simora [160]
Consider the expression below.
(- 6)(x+ 2)
For (x - 6)(x + 2) to equal ,either (X - 6) or (x+2) must equal____
The values of x that would result in the given expression being equal to 0, in order from least to greatest
3 0
3 years ago
Here is my answer to ur question
bagirrra123 [75]
Uh Answer to what-
Bro you good?
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2 years ago
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