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seropon [69]
3 years ago
14

Find the equations for the lines through the point (a,

Mathematics
1 answer:
ozzi3 years ago
4 0
The slope of the perpendicular line  is -1/m.

it passes through the point (a,c) therefore:-

y - c = -1/m(x - a)

y  = -1/m x + a/m + c  answer


Parallel line:-

c = m(a) + b
b = c - ma

y = mx + c - ma    Answer
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Need some help with these problems!
LekaFEV [45]

Answer:

<em>h=12, w=24, t=8</em>

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being  

w = price of a sweatshirt

t = price of a T-shirt

h = price of a pair of shorts

19.

The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

\displaystyle w=2h

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

\displaystyle t=h-4

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

\displaystyle 3w+2h+5t=136

This is the system of equations we need to solve for w,t,h

20.

To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

\displaystyle 3(2h)+2h+5(h-4)=136

Operating

\displaystyle 6h+2h+5h-20=136

\displaystyle 13h=156

Solving for h

\displaystyle h=12

The other two variables are

\displaystyle w=2h=24

\displaystyle t=12-4=8

4 0
3 years ago
​Recently, a random sample of 13-18 year olds was​ asked, "How much do you currently have in​ savings?" The data in the table re
Sonbull [250]

Answer:

μ = 235.38

σ = 234.54

Step-by-step explanation:

Assuming the table is as follows:

\left[\begin{array}{cc}Savings&Frequency\\\$0-\$199&339\\\$200-\$399&86\\\$400-\$599&55\\\$600-\$799&18\\\$800-\$999&11\\\$1000-\$1199&8\\\$1200-\$1399&3\end{array}\right]

This is an example of grouped data, where a range of values is given rather than a single data point.  First, find the total frequency.

n = 339 + 86 + 55 + 18 + 11 + 8 + 3

n = 520

The mean is the expected value using the midpoints of each range.

μ = (339×100 + 86×300 + 55×500 + 18×700 + 11×900 + 8×1100 + 3×1300) / 520

μ = 122400 / 520

μ = 235.38

The variance is:

σ² = [(339×100² + 86×300² + 55×500² + 18×700² + 11×900² + 8×1100² + 3×1300²) − (520×235.38²)] / (520 − 1)

σ² = 55009.7

The standard deviation is:

σ = 234.54

6 0
3 years ago
26 chairs have been split into equal groups,m. How many equal groups are there?
kari74 [83]

Answer:

5

Step-by-step explanation:

because 5*5=25 and you have 1 remainder

3 0
3 years ago
Please solve <br><br> ??+1/16=3/2
Vladimir79 [104]

Answer:

x = 23/16

Step-by-step explanation:

x + 1/16 = 3/2

Get a common denominator

x + 1/16 = 3/2 *8/8

x + 1/16 = 24/16

Subtract 1/16 from each side

x+1/16 -1/16 = 24/16 -1/16

x = 23/16

6 0
3 years ago
Read 2 more answers
Which is equivalent to (10)^(3/4)x?
ivann1987 [24]

Answer:

Option B is correct.

Step-by-step explanation:

10^{(3/4)x}

We need to write the above equation in square root form.

We know that 1/4 = \sqrt[4]{x}

So, 10^{(3/4)x} can be written as:

(\sqrt[4]{10})^{3x}

Option B is correct.

8 0
3 years ago
Read 2 more answers
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