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Verizon [17]
3 years ago
7

Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4)

Mathematics
2 answers:
andrezito [222]3 years ago
8 0
The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
  9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
  3(x -6) -(y -4) = 0
  3x -y = 14

An equation for the line of interest is ...
  3x -y = 14

riadik2000 [5.3K]3 years ago
4 0

Answer:

y=3x-14

Step-by-step explanation:

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Determine whether each expression represents the statement divide the sum 15 and 6 by the difference of 10 and 3.
iris [78.8K]

Answer:

\frac{15+6}{10-3}

Step-by-step explanation:

Sum of 15 and 6 = 15 + 6

Difference of 10 and 3 = 10 - 3

So, the expression is

\frac {15 + 6}{10-3}

This is the required expression.

4 0
3 years ago
One number is five more than another. If their sum is increased by nine, the result is 60. Find the numbers.
svlad2 [7]

Answer:

The two numbers are 23 and 28

Step-by-step explanation:

We are given that

X = Y + 5\\and\\(X+Y) + 9 = 60\\X+Y = 51\\(Y+5) + Y = 51\\2Y + 5 = 51\\2Y = 46\\Y = 23\\\\X = Y + 5\\X = 23 + 5\\X = 28

4 0
3 years ago
What is the approximate volume of the cone? Use 3.14 for π. Right cone with radius of 9 centimeters and height of 15 centimeters
Kisachek [45]

Answer: 1272cm^3

Step-by-step explanation:

V=\pi r^2\frac{h}{3}\\ V=(3.14)(9)^2(\frac{15}{3} )\\V=(3.14)(81)(5)\\V=1271.70cm^3\\V=1272cm^3

6 0
3 years ago
Solving Equations 3k+10=2k-21
Nikolay [14]

3k+10=2k-21

move 2k to the other side

sign changes from +2k to -2k

3k-2k+10=2k-2k-21( combine like terms)

3k-2k+10= -21

k+10=-21

move +10 to the other side

k+10-10= -21-10

k= -21-10

answer:

k= -31

6 0
3 years ago
What is the solution to the system of equations shown in the graph?
Katen [24]
The solution is where both lines intersect. First find the x-coordinate which we will find by going to the left two units. That means x = -2. Now going up one unit, which gives us y = 1

(-2, 1)

8 0
3 years ago
Read 2 more answers
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