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My name is Ann [436]
3 years ago
5

write an equation in slope-intercept form for the line that satisfies the following condition. passes through (12,-4), perpendic

ular to the graph of y = 7/12x + 23
Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
Since we are given the equation of the line in which our line of interest is perpendicular with, we can obtain the slope of our line which is basically the negative reciprocal of the slope of the given line. 

m1 = 7/12

therefore

m2 = -12/7

the form of the equation is

(y - y1) = m2 (x - x1)

substituting values 

(y + 4) = (-12/7) (x -12)

y = (-12/7)x + 116/7
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Alexander placed four straws on his table.
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Find the values of x any y.
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There are so many types of angles, let's see what we've got here!

--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.

--(5x - 17) and y are supplementary angles.

--48 and y are same-side interior angles, which means that they are also supplementary.

Let's solve for x first.

5x - 17 = 48

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Now, let's solve for y.

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Hope this helps!! :)

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3 years ago
The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students a
xenn [34]

Answer:

24

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4x

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Total number of students = 60

As per question statement, we can write the following equation:

\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6

Total number of band students = 4 \times 6 = <em>24</em>

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