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Katarina [22]
3 years ago
6

What’s the line contains the point (-5,7) and is perpendicular to a line with a slope of 5/3

Mathematics
2 answers:
inysia [295]3 years ago
7 0
Slope. perp. -3/5

y - 7 = -3/5(x + 5)

y - 7 = -3/5x - 3

y = -3/5x + 4
11Alexandr11 [23.1K]3 years ago
5 0

Answer:

\large\boxed{y=-\dfrac{3}{5}+4}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1,\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\===========================\\\\\text{We have}\ m_1=\dfrac{5}{3},\ \text{therefore}\ m_2=-\dfrac{1}{\frac{5}{3}}=-\dfrac{3}{5}.\\\\l:y=-\dfrac{3}{5}x+b\\\\\text{Put the coordinates of the point (-5, 7) to the equation of a line }\ l:\\\\7=-\dfrac{3}{5}(-5)+b\\\\7=3+b\qquad\text{subtract 3 from both sides}\\\\4=b\to b=4\\\\\text{Fimally we have the equation:}\\\\l:y=-\dfrac{3}{5}+4

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2 years ago
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui
Ahat [919]

Answer:

1/8

Step-by-step explanation:

P(nectarine) = number of nectarines / total

                       =2/16

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4 0
3 years ago
What is the ratio of red to blue squares in its simplest form?<br> 14 red 4 blue
zlopas [31]

Simplest Form: 7 : 2

How to Simplify a Ratio A : B when A and B are both whole numbers:

  1. List the factors of A
  2. List the factors of B
  3. Find the greatest common factor of A and B, GCF(A, B)
  4. Divide A and B each by the GCF
  5. Use the whole number results to rewrite the ratio in simplest form

Try to reduce the ratio further with the greatest common factor (GCF).

<em>The GCF of 14 and 4 is 2</em>

Divide both terms by the GCF, 2:

14 ÷ 2 = 7

4 ÷ 2 = 2

The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :

14 : 4 = 7 : 2

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5 0
3 years ago
Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 2,000,000 and whose population p
faltersainse [42]

Answer:

p(x\geq 520)  = 0.0293

Step-by-step explanation:

Given data:

random sample size n = 1000

Population size is N - 2,000,000

P = 0.49

We know

\sigma_p = \sqrt{\frac{p*(1-p)}{n}}

\sigma_ p = \sqrt{\frac{0.49*(1-0.49)}{1000}} = 0.0158

Probability for having X =520

sample proportion \hat p = \frac{520}{1000} = 0.52

p(x\geq 520)  = P(\hat p\geq)

                       = P(Z\geq \frac{0.52 - 0.49}{0.0158})

                       = P(Z\geq 1.89) = 0.0293

p(x\geq 520)  = 0.0293

6 0
3 years ago
Read 2 more answers
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Lerok [7]
The number is X


(1/3)x -6=8
7 0
3 years ago
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