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Ipatiy [6.2K]
3 years ago
12

10. What is the distance between (8,7) and (3,-5)?

Mathematics
1 answer:
Anarel [89]3 years ago
8 0

Answer:

distance between points=13 units

Step-by-step explanation:

distance between points=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

put (x_1,x_2)=(8,7) and (y_1,y_2)=(3,-5)

distance between points=\sqrt{(3-8)^2+(-5-7)^2}

distance between points=\sqrt{(-5)^2+(-12)^2}

distance between points=\sqrt{25+144}

distance between points=\sqrt{169}

distance between points=13 units answer

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Permutations and combination question ^^
mario62 [17]

Answer:  22) A

<u>Step-by-step explanation:</u>

First, order doesn't matter so it is a Combination.

<em>In other words, it doesn't matter which person was chosen 1st, 2nd, 3rd, or 4th to bring food because they are all bringing "food".</em>

Next, If you are going to choose  person to 4 people to bring food out of a total of 4 + 3 + 1 = 8 people, you get → ₈C₄

And you are going to choose 3 people to bring decorations out the remaining 8 - 4 = 4 people, you get → ₄C₃

And you are going to choose 1 person to be the host out of the remaining 4 - 3 = 1 person, you get → ₁C₁

"And" means multiplication so altogether you get ⇒  ₈C₄ × ₄C₃ × ₁C₁

3 0
3 years ago
graph the function f (x) = x^2 + 4x -5. on the coordinate plane. (a) What are the x-intercepts? (b) What are the y-intercepts? (
Butoxors [25]

Answer:

a) (-5,0) and (1,0)

b) (0,-5)

c) minimum

See attached graph.

Step-by-step explanation:

To graph the function, find the vertex of the function find (-b/2a, f(-b/2a)). Substitute b = 4 and a = 1.

-4/2(1) = -4/2 = -2

f(-2) = (-2)^2 + 4(-2) - 5 = 4 - 8 - 5 = -4 - 5 = -9

Plot the point (-2,-9). Then two points two points on either side like x = -1 and x = -3. Substitute x = -1 and x = -3

f(-1) = (-1)^2 + 4 (-1) - 5 = 1 - 4 - 5 = -8

Plot the point (-1,-8).

f(-3) = (-3)^2 + 4(-3)  - 5 = 9 - 12 - 5 = -8

Plot the point (-3,-8).

See the attached graph.

The features of the graph are:

a) (-5,0) and (1,0)

b) (0,-5)

c) minimum

5 0
3 years ago
X2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
s344n2d4d5 [400]

Answer:

a + b =1

Step-by-step explanation:

Write the given quadratic as x^2 – 1x – 90 = 0.  This factors into

(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.

If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.

3 0
2 years ago
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ozzi

Answer:

i have no idea sorry =(

Step-by-step explanation:

4 0
3 years ago
Jim earns a regular hourly rate of $5 and a premium hourly rate of $6 He worked 45 Hours last week what is his gross pay
denpristay [2]
(40*5)+(5*6)=200+30 = 230

answer: $230
6 0
3 years ago
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