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motikmotik
2 years ago
9

What is the distance between the points (-6, 7) and (-1, 1) ? Round to the nearest whole number

Mathematics
1 answer:
pogonyaev2 years ago
8 0

Answer:

7.8 rounded to the nearest whole number would be 8.

Step-by-step explanation:

-6 would be x1

7 would be y1

-1 would be x2

1 would be y2

Take these numbers and plug them into the distance formula:

\sqrt{(x2-x1)^{2}  + (y2-y1)^2}

\sqrt{(-1 - -6)^2 + (1-7)^2} \\\sqrt{(5)^2 + (6)^2\\\} \\\sqrt{25 + 36} \\\sqrt{61} = 7.81

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How to solve 3x^2+22x=-35 by factoring
Zepler [3.9K]

Answer:

x = -7/3 or -5

Step-by-step explanation:

3x^2 + 22x = -35

3x^2 + 22x + 35 = 0

(3x + 7) (x + 5) = 0

so for 3x+7:

3x+7 = 0

3x = -7

x = -7/3

So for x + 5:

x + 5 = 0

x = -5

3 0
2 years ago
Algebra help please? thank you SO much in advance!
Harman [31]
X(x + 3)  + x(x - 3) = 2
x^2 + 3x +x^2 - 3x = 2
2x^2 = 2
x^2 = 1
x = +1 and x = -1

answer 
x = +1 and x = -1
6 0
3 years ago
Select the correct answer from each drop-down menu.
navik [9.2K]

Answer:

(0,1/5) and (1/9,0)

Step-by-step explanation:

3/5x +1/3y=1/15

To find intercepts, plug in 0

y-intercept: 3/5(0) + 1/3y=1/15

y=1/15*3 = 3/15 = 1/5 or 0.2

x-intercept: 3/5x + 1/3(0) = 1/15

3x=1/15*5/3

x=5/45= 1/9

3 0
3 years ago
You are working in a primary care office. Flu season is starting. For the sake of public health, it is critical to diagnose peop
Aleksandr-060686 [28]

Answer:

E. 0.11

Step-by-step explanation:

We have these following probabilities:

A 10% probability that a person has the flu.

A 90% probability that a person does not have the flu, just a cold.

If a person has the flu, a 99% probability of having a runny nose.

If a person just has a cold, a 90% probability of having a runny nose.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem, we have that:

What is the probability that a person has the flu, given that she has a runny nose?

P(B) is the probability that a person has the flu. So P(B) = 0.1.

P(A/B) is the probability that a person has a runny nose, given that she has the flu. So P(A/B) = 0.99.

P(A) is the probability that a person has a runny nose. It is 0.99 of 0.1 and 0.90 of 0.90. So

P(A) = 0.99*0.1 + 0.9*0.9 = 0.909

What is the probability that this person has the flu?

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.1*0.99}{0.909} = 0.1089 = 0.11

The correct answer is:

E. 0.11

5 0
3 years ago
Which graph represents the function<br> f(x) = (x + 4)(x + 1)(x - 3)<br> ?
attashe74 [19]

Answer:

Step-by-step explanation:

The graph that represents the function

f(x) = (x + 4)(x + 1)(x - 3)

crosses the x-axis three times: at x = -4, x = -1, and x = 3

because we apply the zero product rule and found the roots -4, -1, and 3

x+ 4= 0 → x = -4

x+1 = 0 → x = -1

x-3 = 0 → x = 3

8 0
2 years ago
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