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777dan777 [17]
3 years ago
6

Mrs morales wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocab

ulary questions (y) are worth 10 points . The maximum number of points possible on the test is 100.
Questions need help with the graphics
Mathematics
1 answer:
Contact [7]3 years ago
3 0
I can solve it, but I am struggling on explaining how I solved it. Here's the answer.

x+y=15

5x+10y=100

x=10 and y=5

10+5=15

5(10)+10(5)=100
50+50=100
100=100
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I need the answer for this exact question
denis23 [38]

Answer:

y=\frac{7}{2}x-20

Step-by-step explanation:

Let the equation of the line be y-y_1=m(x-x_1) where, 'm' is its slope and (x_1,y_1) is a point on it.

Given:

The equation of a known line is:

y=-\frac{2}{7}x+9

A point on the unknown line is:

(x_1,y_1)=(4,-6)

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is m_1=-\frac{2}{7}

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20

The equation of a line perpendicular to the given line and passing through (4, -6) is y=\frac{7}{2}x-20.

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Step-by-step explanation:

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