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Tasya [4]
3 years ago
7

Find the slope of the line.

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0

Answer:

  = -3

Step-by-step explanation:

Find 2 points

(-2, 4) and (1,-5)

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = (-5-4)/(1 - -2)

    = -9/(1+2)

    = -9/3

  = -3

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What is the measure of each angle
Wewaii [24]

Answer:

not sure if they really want numbers here

x and 14x??

Step-by-step explanation:

8 0
2 years ago
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Suppose you have a light bulb that emits 50 watts of visible light. (Note: This is not the case for a standard 50-watt light bul
natali 33 [55]

Answer:

0.049168726 light-years

Step-by-step explanation:

The apparent brightness of a star is

\bf B=\displaystyle\frac{L}{4\pi d^2}

where

<em>L = luminosity of the star (related to the Sun) </em>

<em>d = distance in ly (light-years) </em>

The luminosity of Alpha Centauri A is 1.519 and its distance is 4.37 ly.

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\bf B=\displaystyle\frac{1.519}{4\pi (4.37)^2}=0.006329728

According to the inverse square law for light intensity

\bf \displaystyle\frac{I_1}{I_2}=\displaystyle\frac{d_2^2}{d_1^2}

where

\bf I_1= light intensity at distance \bf d_1  

\bf I_2= light intensity at distance \bf d_2  

Let \bf d_2  be the distance we would have to place the 50-watt bulb, then replacing in the formula

\bf \displaystyle\frac{0.006329728}{50}=\displaystyle\frac{d_2^2}{(4.37)^2}\Rightarrow\\\\\Rightarrow d_2^2=\displaystyle\frac{0.006329728*(4.37)^2}{50}\Rightarrow d_2^2=0.002417564\Rightarrow\\\\\Rightarrow d_2=\sqrt{0.002417564}=\boxed{0.049168726\;ly}

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7 0
3 years ago
Directions: Compare the triangles and determine whether they can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.
Naily [24]

Answer:

Description

Step-by-step explanation:

1. ASA

2. SSS

3. AAS

4. HL

5.  Cannot be determined

6. SAS

7. SSS

8. AAS

9. Cannot be determined

10. SAS

3 0
2 years ago
What is 4x plus 6 plus 3 equals seventeen
Allushta [10]
The answer is 3.

the equation: 4x+6+3=17
                      4x+9=17
                      subtract 9 from both sides
                      4x=12
                      x=3

check by inserting 3 as x into the original equation

4*3+6+3=17

hope this helps!
7 0
3 years ago
A recipe uses 800 grams of nuts with 160 grams of butter. If you only have 500 grams of nuts. How many grams of butter should yo
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Answer:

100

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800÷500

160÷1.6

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