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3 years ago

What divide by what equals 0.0505........

Mathematics

1 answer:

Oksana_A [137]3 years ago

5 0

$\frac{5}{99} = 0.05050505...$

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The given line passes through the points (0, −3) and (2, 3).

Alex Ar [27]

Well, parallel lines have the same exact slope, so hmmm what's the slope of the one that runs through (0, −3) and (2, 3)?

 $\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 0 &,& -3~) 
% (c,d)
&&(~ 2 &,& 3~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-(-3)}{2-0}\implies \cfrac{3+3}{2-0}\implies 3$

so, we're really looking for a line whose slope is 3, and runs through -1, -1

 $\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ -1 &,& -1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=3[x-(-1)]
\\\\\\
y+1=3(x+1)$

8 0

3 years ago

Read 2 more answers

I need to know how to solver this coz I needy grades up

Ne4ueva [31]

Umm y = 2× + 8 ? Hard

3 0

3 years ago

Read 2 more answers

Use the properties of logarithms to prove log, 1000 = log2 10.

Leto [7]

Given:

Consider the equation is:

$\log_81000=\log_210$

To prove:

$\log_81000=\log_210$ by using the properties of logarithms.

Solution:

We have,

$\log_81000=\log_210$

Taking left hand side (LHS), we get

$LHS=\log_81000$

$LHS=\dfrac{\log 1000}{\log 8}$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=\dfrac{\log (10)^3}{\log 2^3}$

$LHS=\dfrac{3\log 10}{3\log 2}$ $[\because \log x^n=n\log x]$

$LHS=\dfrac{\log 10}{\log 2}$

$LHS=\log_210$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=RHS$

Hence proved.

6 0

3 years ago

Acellus

lukranit [14]

Answer:

d = 14

Step-by-step explanation:

$\sin \: 45 \degree = \frac{a}{7 \sqrt{2} } \\ \\a = 7 \sqrt{2} \sin \: 45 \degree \\ \\ a = 7\sqrt{2} \times \frac{1}{ \sqrt{2} } \\ \\ a = 7 \\ \\ \sin \: 30 \degree = \frac{a}{d} \\ \\ \frac{1}{2} = \frac{7}{d} \\ \\ d = 2 \times 7 \\ \\ d = 14$

8 0

3 years ago

Emma is playing miniature golf. Her ball is 2 feet to the left of the right-hand wall. The hole is 4 feet to the left of the wal

NISA [10]

Answer:

She should aim 6 feet down the wall

Explanation:

The diagram attached sketches the situtation.

Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.

Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:

x/4 = y/2 ⇒ x = 2y

You have other equation:

x+ y = 18

Substitute

2y + y = 18
3y = 18
y = 18/3
y = 6 ← this is the distance down the wall where the ball should hit

x = 2(6) = 12

Then, she should aim 6 feet down the wall.

8 0

3 years ago

What divide by what equals 0.0505........​

What divide by what equals 0.0505........