All categories

3 years ago

Describe how to draw a line that passes through the origin and has a slope of -2/-3?

1 answer:

7 0

First of all you know it wiill be a positive slope as both the rise and the run are negative. a negative divided by a negative equals a positive. so you can plot the points (2,3) and (-2,-3) as they will be points on this line. next you take a straight line and place it so that both points are intercepted. then extend the line outwards.

You might be interested in

one leg of a right triangle is 6.4 cm long the length of the second leg is 3.5 cm what is the length of the hypotenuse rounded t

Valentin [98]

Answer:

7.3

Step-by-step explanation:

In order to find the hypotenuse, we just need to use the Pythagorean Theorem.

Remember, that this theorem only works for right triangles.

This theorem states that a^2+b^2=c^2

This is where a and b are legs of the triange, and c is the hypotenuse.

Knowing this, we can plug our values in.

6.4^2+3.5^2=c^2

Simplify.

41.344+12.25=c^2

53.594=c^2

Root both sides.

c=7.32 (about)

Round that to tenths.

c=7.3

3 0

2 years ago

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

3 years ago

Question 14

sergey [27]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

How can you tell when a pattern shows counting on by tens?

velikii [3]

Answer:
The difference between successive terms is 10

Explanation:
To know the factor by which a certain pattern is increasing/decreasing, you need to subtract its successive terms.

If the subtraction gives you 10, this means that the pattern is increasing by 10

Examples:
10, 20, 30, 40, 50, .....
20 - 10 = 10
30 - 20 = 10
40 - 30 = 10
50 - 40 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, this pattern is increasing by 10

37, 47, 57 , .....
47 - 37 = 10
57 - 47 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, the pattern is increasing by 10

Hope this helps :)

7 0

2 years ago

13. Write 1.2 as a mixed number

DedPeter [7]

Answer:

1 1/5

Step-by-step explanation:

7 0

2 years ago