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Lelechka [254]
4 years ago
15

Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4

Mathematics
1 answer:
Ket [755]4 years ago
7 0
Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4

so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 

\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=-1\\
x_1=2\\
m=\frac{3}{4}
\end{cases}\\
\textit{and move everything}\\
\textit{to the left-hand-side}
\end{array}\\

\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
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Help me please I'm very confused about this!
Colt1911 [192]

Answer:I think it's trying to find the area of which is a 5 times 2 = 10

Step-by-step explanation:

6 0
3 years ago
PAIesung
Svetllana [295]

Answer:

The sale price was 60% of the purchase price.

Step-by-step explanation:

Given that Blake bought a motorcycle for $ 550 last year and sold it for $ 330 this year, to determine what is his sale price as a percentage of his purchase price, the following calculation must be performed:

550 = 100

330 = X

330 x 100/550 = X

33000/550 = X

60 = X

Therefore, the sale price was 60% of the purchase price.

5 0
3 years ago
There has been much media coverage of the high cost of medicinal drugs in the United States. One concern is the large variation
umka21 [38]

Data for the question :

102.05 99.85 112.3 97.15 111.23 105.37 105.64 106.5 102.97 107.82 106.36 111.24 107.28 114.14 106.28 106.96 98.25 111.55 107.75 101.02 101.12 97.7 97.66 100.54 115.77 112.91 111.04 112.15 102.87 101.14 107.13 108.56 109.56 103.57 108.68 104.59 116.74 116.22 100.22 103.97 111.2 109.34 115.78 101.59 107.93 104.23 96.25 103.84 102.47 102.96 99.26 101.42 108.58 107.69 99.88 102.71 111.25 99.4 117.04 106.35 110.44 102.34 107.25 107.63 105.2 109.14 115.54 101.51 108.49 112.32 109.27 97.54 102.46 105.94 109.42 111.05 102.63 106.99 102.03 108.84 118.8 108.64 95.35 105.47 104.45 102.15 111.4 108.27 104.82 108.4 109.05 116.11 103.7 121.2 99.62 102.81 109.56 103.35 113.02 103.79

Answer:

Range = 25.35

Variance = 29.46

Standard deviation = 5.43

The variation in price of Prozac is high

Step-by-step explanation:

The range of the data :

Maximum - Minimum.

121.2 - 95.35 = 25.35

The variance, s :

s² = Σ(X - m²) / n - 1

Mean, m = Σx / n

X = individual data point

m = mean of data

n = sample size

Using a calculator of save time and ensure accuracy :

s² = 29.45522

The standard deviation, s

s = sqrt(variance)

s = sqrt(s²)

s = sqrt(29.45522)

s = 5.42726.

The range, variance and standard deviation, all measure the degree of variation in a dataset. The values of these statistical measure obtain for the price of 1 product across different pharmaceutical stores, suggests thatvthe variation in price is high;

With a range of about 25.35 and standard deviation of 5.43

4 0
3 years ago
A triangle is isosceles is the altitude from the vertex angle to the base also passes through the midpoint of the base. What are
leonid [27]

Answer:

The answer to your question is  7 and -1/7

Step-by-step explanation:

Data

First line                        Second line

B (4, 4)                            A (0, 1)

M (3.5, 0.5)                     C (7, 0)

Formula

Slope = m = (y2 - y1) / (x2 - x1)

Process

1.- Calculate the slope of the first-line

    x1 = 4        y1 = 4

    x2 = 3.5    y2 = 0.5

-Substitution

    m = (0.5 - 4) / (3.5 - 4)

-Simplification

     m = -3.5 / -0.5

-Result

     m = 7

2.- Calculate the slope of the second line

    x1 = 0          y1 = 1

    x2 = 7         y2 = 0

-Substitution

   m = (0 - 1) / (7 - 0)

-Simplification

   m = -1/7

-Result

   m = -1/7  

5 0
3 years ago
Point G (6,-3) is translated 5 units to the left and 6 units up to form the point g. What are the coordinates of g prime
tino4ka555 [31]

Answer:

(1,3)

Step-by-step explanation:

If a point is translated to the left it must be subtracted from the original coordinates because the left is getting closer to the negative side of the graph. If it is being translated up that number should be added, so (6-5,-3+6) which is (1,3).

6 0
3 years ago
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