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IceJOKER [234]
3 years ago
9

Find the point on the line 5x+7y+1=0 which is closest to the point (−4,3).

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

5x + 7y + 1 = 0
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Lisa borrows $2850 at 4.3% simple interest per year. When Lisa pays the loan back 9 years later, what is the total amount that L
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I think it is 25650
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3 years ago
Write an equation for the following: y varies directly with x and z. Find K when x=2, y=12 and z=5.
olga_2 [115]

\qquad \qquad \textit{direct joint variation} \\\\ \textit{\underline{y} varies directly with \underline{x} and \underline{z}}~\hspace{8.5em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xz~\hfill } \\\\ \textit{\underline{y} varies directly with \underline{x}, }w^2\textit{ and }z^5~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xw^2z^5~\hfill } \\\\[-0.35em] ~\dotfill

y = kxz\qquad \textit{we know that} \begin{cases} x=2\\ y=12\\ z=5 \end{cases}\implies 12=k(2)(5) \\\\\\ \cfrac{12}{(2)(5)}=k\implies \cfrac{6}{5}=k~\hspace{10em}\boxed{y=\cfrac{6}{5}xz}

6 0
2 years ago
A house was sold for $300,000 and a profit of 5% was made. Determine its
lara [203]

Answer:

285,000

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
Which linear inequality is represented by the graph?
Tamiku [17]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept

Slope of a line passing through (x_1, y_1) and (x_2,y_2) is,

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

For the given points,

m = \frac{1+3}{3+3}

m = \frac{2}{3}

y-intercept 'b' = -1

Therefore, equation of the given line will be,

y=\frac{2}{3}x-1

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)

And the shaded part is below the dotted line,

Inequality will be,

y < \frac{2}{3}x-1

Therefore, Option (4) will be the answer.

7 0
3 years ago
What is 0.875 equal to as a fraction?
ohaa [14]
0.875 as a fraction is 7/8 because 875/100 is equal to 7/8
5 0
2 years ago
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