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igomit [66]
3 years ago
7

What is an equation of the line that is perpendicular to y=-3/4x+6 and passes through the point (3,9)

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

y=\frac{4}{3}x+5

Step-by-step explanation:

The line y= -3/4+6 in the comments has slope -3/4. A perpendicular line will have the negative reciprocal of -3/4. It's 4/3.

To write the equation, substitute 4/3 and the point (3,9) into

y-y_1 = m(x-x_1)

y-9=\frac{4}{3}(x-3)\\\\y-9=\frac{4}{3}x -\frac{4*3}{3}\\\\y-9=\frac{4}{3}x-4\\\\y=\frac{4}{3}x+5

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Walter walked 15.5 block from his house to work. It took him 35 minutes. What is his rate in blocks per hour
Sonbull [250]
For this case we first calculate the rate in blocks per minutes.
 rate = (15.5) / (35) = 0.443 blocks per minutes.
 Then, we can go to blocks per hour.
 Remember: 1h = 60min.
 rate = 0.443 * (1/60) = 0.00738 blocks per hour.
 answer
 his rate in blocks per hour is 0.00738 blocks per hour.
6 0
3 years ago
Rod is saving Php2000 in a bank at the end of each month which gives an interest of 1% compounded monthly.How much is the saving
agasfer [191]

Answer:

Php2040.38

Step-by-step explanation:

Given

P = 2000 --- Principal

r = 1\% --- Rate

t = 2\ years --- Time

n = 12 --- monthly

Required

Determine the amount at the end of two years

This is calculated as:

A = P(1 + \frac{r}{n})^{nt}

So, we have:

A = 2000(1 + \frac{1\%}{12})^{12*2}

A = 2000(1 + \frac{1}{100*12})^{24}

A = 2000(1 + \frac{1}{1200})^{24}

A = 2000(\frac{1200+1}{1200})^{24}

A = 2000(\frac{1201}{1200})^{24}

A = 2000*1.02019

A = 2040.38

<em>Hence, the final amount is: Php2040.38</em>

7 0
3 years ago
How many different 10 digit phone numbers are possible if numbers can be repeated
Stella [2.4K]

It was would numbers 000-000-0000 through 999-999-9999. So that would be 9,999,999,999 + 1 = 10 billion different 10-digit phone numbers.

8 0
3 years ago
Match the vocabulary word with the correct definition.
ki77a [65]

Answer:

equilateral triangle is a triangle with all three sides equal

isosceles triangle is a triangle with two sides of the same length

scalene triangle is a triangle in which no 2 sides have equal lengths

equiangular triangle is a triangle in which all angles are equal

triangle is the union of three segments determined by 3 noncolinear points

3 0
3 years ago
Read 2 more answers
2x + y = -4<br> 5x - 3y = 1<br><br> Solve with elimination method
Ivanshal [37]

Answer:

For the first equation the answer for "X" will be,

x =  \frac{ - 4 - y}{2}

if you want me to solve for y instead then the answer will be,

y =  - 4 - 2x

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x =  \frac{1 + 3y}{5}

If you want me to solve for y instead then the answer will be,

y =  -  \frac{1 - 5x}{3}

3 0
3 years ago
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