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Natali5045456 [20]
2 years ago
7

1 Point

Mathematics
1 answer:
meriva2 years ago
3 0

Answer:

<h2>y = 5x - 11</h2>

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\==============================

\text{We have the equation:}\ y=5x-4\to m_1=5.\\\\\text{Therefore}\ m_2=5.\\\\\text{We have the equation:}\ y=5x+b.\\\\\text{Put the coordinates of the given point (3, 4) to the equation:}\\\\4=5(3)+b\\\\4=15+b\qquad\text{subtract 15 from both sides}\\\\-11=b\to b=-11\\\\\text{Finally:}\\\\y=5x-11

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Answer:

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4 0
3 years ago
Pls help question b
Snowcat [4.5K]

Answer: 44

Step-by-step explanation:

1/5 of the slab are grey implies that 4/5 are yellow.

The ratio of grey to yellow is thus given as :

1/5 : 4/5

which is 1 : 4

Therefore , the ratio of grey to yellow is 1: 4

The total ratio = 1 + 4 = 5

To calculate the number of yellow , we use the formula

number of yellow = \frac{ratio of yellow}{total ratio} X  total number of slabs , that is

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3 0
3 years ago
Through: (-3,0), perp. to y = 3x - 1
Marrrta [24]

Answer:

y=-\dfrac{1}{3}x-1

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

<u>Solution:</u>

The slope of the given line is m=3

If m_1 is the slope of perpendicular line, then

m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}

So, the equation of the needed line is y=-\dfrac{1}{3}x+b.

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1

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