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3 years ago

What is the slope of the line that passes through the pair of points (-5/3, -1) and (-2, 9/2)?

Mathematics

1 answer:

vovangra [49]3 years ago

7 0

Slope = (9/2 + 1) / (-2 + 5/3)

11/2
= ----------
-1/3
= 11/2 (-3/1)
= -33/2
or
= -16.5

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URGENT PLZ HELP ME!!!

hichkok12 [17]

Answer:

You would click at (0,-7)

Step-by-step explanation:

Definition of the minimum point:

"The minimum value of a function is the place where the graph has a vertex at its lowest point. In the real world, you can use the minimum value of a quadratic function to determine minimum cost or area."

Although this is not a quadratic, it still has a minimum point.

The minimum point here would be at it's lowest point

The minimum/lowest point is (0,-7)

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3 years ago

Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km awa

oksian1 [2.3K]

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120 km

b=70 km

β=28 degrees ( ∘)

b^2=(a^2)+(c^2)−2ac*cosβ

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )

(c^2 ) −211.907c+9500=0

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996

D>0

$c_{1,2}$ = (−q± $\sqrt{D}$ )/2p=(211.91± $\sqrt{6904.76}$ )/2

$c_{1,2}$ =105.95371114±41.5474295834

( $c_{1}$ −147.501140726)( $c_{2}$ −64.4062815596)=0

$c_{1}$ =147.501140726

$c_{2}$ =64.4062815596

5 0

3 years ago

The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an

Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

(w + 7)× (w + 4) = 116

Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = $\dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, w = $\dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}$

Or, w = $\dfrac{-11\pm \sqrt{473}}{2}$

or, w = $\dfrac{-11\pm 21.7}{2}$

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

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4 years ago

Shelly compared the number of oak trees to the number of maple trees as a part of a study about hardwood trees in a woodlot. She

9966 [12]

There were 72 more maple trees before the bug problem then after because there was 108 maple trees before the bug problem and 36 maple trees after the bug problem

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3 years ago

From this diagram, select the

AURORKA [14]

O is parallel to q

let's take the angle opposite to angle 4 is alpha

angle 4 = angle alpha ( vertically opposite angles)

angle alpha = angle 3 ( as angle 4 = angle 3).

hence o is parallel to q as both the angles are equal

5 0

2 years ago