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cricket20 [7]
4 years ago
8

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:
olga2289 [7]4 years ago
8 0

Perpendicular lines have opposite reciprocals from the original line.

Original line: y=-3/4x+6

Perpendicular line: y=4/3x+b

Solve for b by plugging in the given coordinates (3,9) for x and y respectively.

9=4/3(3)+b

Multiply 4/3*3.

9=4+b

Subtract 4 from both sides.

5=b

Now, with b and the slope, you can write the equation:

y=4/3x+5

I hope this helps :)


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Is -1/3 - 4/5 positive, negative, or zero?
nata0808 [166]
It is negative,

Hope this helped.
6 0
4 years ago
in the year 2006 there were 163,476 wildfires in a county. This was 12520 less than four times the number of wildfires in the ye
sesenic [268]

x= wildfires in 2003

163,476= 4x - 12,520

(163,476 + 12,520) / 4

x = 43,999 your answer is 43,999

4 0
3 years ago
Three consecutive integers add up to 51. What are these integers​
kaheart [24]

Let the three consecutive integers be x, x+1 and x+2.

According to the question, x+x+1+x+2=51

=>3x+3=51

=>3x+3-3=51-3

=>3x=48

=>x=16

Hence, first integer = 16,

second integer = 16 + 1 = 17 and

third integer = 16 + 2 = 18.

3 0
3 years ago
The length of a rectangle is 5 feet more than twice the width. The perimeter is 130 feet. Find the dimensions.
Dahasolnce [82]
So,

The problem tells us that the length of the rectangle is 5 feet more than twice the width.
Mathematically:
length = 5 + 2width
l = 5 + 2w


We know that the perimeter is 2l + 2w.
2l + 2w = 130

2(5 + 2w) + 2w = 130

Distribute
10 + 4w + 2w = 130

Collect Like Terms
10 + 6w = 130

Subtract 10 from both sides
6w = 120

Divide both sides by 6
w = 20

The width is 20.


Since
l = 5 + 2w

Substitute
l = 5 + 2(20)

Multiply
l = 5 + 40

Collect Like Terms
l = 45

The length is 45.

Check
2l + 2w = 130

2(45) + 2(20) = 130

90 + 40 = 130

130 = 130

Width: 20 ft.
Length: 45 ft.
5 0
3 years ago
Out of a total of 3000 available parking spaces in a mall
guajiro [1.7K]

Answer:

62.5% of the parking spaces are taken.

Step-by-step explanation:

Given

  • Total Spaces = 3000
  • Taken paces = 1875

To determine

What percent of the parking  spaces are taken?

The percentage of taken spaces of the part can be determined using the formula

% of Taken spaces = [Taken spaces / Total Spaces ] × 100

                               = [1875 / 3000] × 100

                               = 0.625 × 100

                               = 62.5%

Therefore, 62.5% of the parking spaces are taken.

7 0
3 years ago
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