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monitta
2 years ago
12

What's the slope of (1, 4) and (0, 11) ?​

Mathematics
2 answers:
pogonyaev2 years ago
5 0

Answer: Slope = -7

Concept:

Here, we need to know the formula that helps to find the slope by two points.

The slope of a line is a number that describes both the direction and the steepness of the line.

Slope = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

Solve:

<u>Given information</u>

(x₁, y₁) = (1, 4)

(x₂, y₂) = (0, 11)

<u>Given expression</u>

Slope = (y₂ - y₁) / (x₂ - x₁)

<u>Substitute values into the expression</u>

Slope = (11 - 4) / (0 - 1)

<u>Simplify the values in the parentheses by subtraction</u>

Slope = (7) / (-1)

<u>Simplify by division</u>

\boxed{Slope=-7}

Hope this helps!! :)

Please let me know if you have any questions

Alisiya [41]2 years ago
4 0
-7 is the slope.

the slope formula is x2,y2-x1,y1
0-1=-1
11-4=7

the y goes on top of the x in the notation, so 7/-1 can be simplified to -7.

Hope this helps:)
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Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x - 3?
Ipatiy [6.2K]

Answer:

A.

Step-by-step explanation:

1) to rewrite the given equation:

f(x)=2(x²+4x)-3; ⇔ f(x)=2(x²+4x+4)-3-8; ⇔ f(x)=2(x²+4x+4)-11; ⇔ f(x)=2(x+2)²-11;

2) the roots are:

\left[\begin{array}{ccc}x=-\sqrt{\frac{11}{2}}-2 \\x=\sqrt{\frac{11}{2}}-2 \end{array}

3) finally, the correct answer is A.

4 0
1 year ago
You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads
valentina_108 [34]
That sounds like an extremely misleading question to me but it would be A since theres a 1/6 chance of getting a 2 on a die and there isnt a 1/2 in the answers so it is A
5 0
3 years ago
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A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac
34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0
3 years ago
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mrs_skeptik [129]
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7 0
3 years ago
Plssss help!!!! A garden table and a bench cost $778 combined. The garden table costs $72 less than the bench. What is the cost
Fiesta28 [93]

Answer:

The bench costs $425

Step-by-step explanation:

425 + 353 = 778

How I did it::

1)

778 \div 2

2)

389 - 36 = 353

389 + 36 = 425

3) Check

425 + 353 = 778

7 0
3 years ago
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