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liberstina [14]
2 years ago
9

What is the equation of the line that passes through the point (5, 4) and has a slope of 4/5

Mathematics
1 answer:
nataly862011 [7]2 years ago
8 0

Answer:

Every point on a horizontal line has the same y-value. Use the y-value of the point to find the equation of the horizontal line.

y=4

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Solve. X^2+20x+100=50
choli [55]
1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
 
 2. Pass the number 50 from the right member to the left member. Then you obtain:
 
 x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span> 
 3. Then, you must apply the quadratic equation, which is:
 
 x=(-b±√(b^2-4ac))/2a
 
 </span><span>x^2+20x+50=0
</span><span> 
 a=1
 b=20
 c=50
 

  4. Therefore, when you simplify, the result is:
 
  -10</span><span>±5</span>√2   (It is the last option).<span>


 
 
 
 
 
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5 0
3 years ago
Point Y is in the interior of ∠XWZ. Given that (ray) WX and (ray) WZ are opposite rays and m∠XWY = 4(m∠YWZ), what is m∠YWZ?
yuradex [85]

Answer:

m∠YWZ = 36°

Step-by-step explanation:

* Lets explain how to solve the problem

- Point Y is in the interior of ∠XWZ

- Rays WX and WZ sre opposite rays

- That means rays WX and WZ formed a straight angle

- m∠XWY = 4(m∠YWZ)

- We need to find the m∠YWZ

* Lets solve the problem

∵ Rays WX and WZ are opposite rays

∴ ∠XWZ is a straight angle

∵ The measure of the straight angle is 180°

∴ m∠XWZ = 180°

- Point Y is in the interior of ∠XWZ

∴ m∠XWZ = m∠XWY + m∠YWZ

∵ m∠XWY = 180°

∴ m∠XWY + m∠YWZ = 180° ⇒ (1)

∵ m∠XWY = 4(m∠YWZ) ⇒ (2)

- Substitute equation (2) in equation (1)

- That means replace m∠XWY by 4(m∠YWZ)

∴ 4(m∠YWZ) + m∠YWZ = 180

∴ 5(m∠YWZ) = 180

- Divide both sides by 5

∴ m∠YWZ = 36°

6 0
3 years ago
It takes Priti 4 hours to drive from Ashdown to Bridgeton at an average speed of 50 mph. She then drives 30 miles from Bridgeton
Sveta_85 [38]

Answer:

Her average speed from Ashdown to Carton is approximately 48.4 mph

Step-by-step explanation:

The time and speed of the motion of Priti are as follows;

The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours

The average speed she drove from Ashdown to Bridgeton = 50 mph

The distance she drove from Bridgeton to Carton, d₂ = 30 miles

Her average speed from Bridgeton to Carton = 40 mph

The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles

The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour

Average velocity, v_{ave} = (Total distance traveled, Δd)/(Total time, Δt)

Δd = d₁ + d₂, Δt = t₁ + t₂

Δd = 200 miles + 30 miles = 230 miles

Δt = 4 hours + 0.75 hour = 4.75 hours

∴ The average velocity, v_{ave} = (230 miles)/(4.75 hours)

∴ v_{ave} = (920/19) mph

Her average speed from Ashdown to Carton, rouded to 1 d,p, v_{ave} ≈ 48.4 mph

3 0
3 years ago
Which number has only two factors? Why?<br><br> a)21<br><br> b)23<br><br> c)25<br><br> d)27
vagabundo [1.1K]

Answer:

I believe the answer would 25 hope this helps

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
-3t + 9 greater than or equal to-21
nordsb [41]

Answer

t = -4

Step-by-step explanation:

First you subtract 9 from both sides. You get 12 on the right. Then you divide both sides by -3. You get -4.

6 0
2 years ago
Read 2 more answers
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