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motikmotik
3 years ago
7

Simplify the polynomial 4a+5(a-1)

Mathematics
1 answer:
Aleks [24]3 years ago
7 0
4a + 5(a-1)
4a + 5a - 5
9a - 5
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C. Find a parametrization for the line segment with endpoints (-1, 3) and (3, -2).
wel

Answer:

x(t) = -1 + 4t

y (t) = 3 - 5t

Step-by-step explanation:

The end points of the line segment are (-1, 3) and (3, -2).

Let a = (-1,3) and b = (3,-2)

Now, find the value of (b-a)

(b-a) = ((3+1), (-2-3))

b-a = (4, -5)

Therefore, the parametrization of the given line segment is

r(t) = a + (b-a)t

r(t) = (-1,3) +(4,-5)t

r(t) = (-1+4t, 3-5t)

We can rewrite this as

x(t) = -1 + 4t

y (t) = 3 - 5t

3 0
3 years ago
The length of a model car is 1/20 of the length of the actual car. If the model. is 8.7 inch long, how long is the actual car? E
madam [21]
This means that if the model is 1 in lengh then th ereal car is 20 times of that or 20 in legnth

so to find the answer, just multiply model by 20
8.7 =model
real=8.7 times 20=174
real car is 174 inches

12 inches=1 foot
conversion factor
1 ft/12in=1=convesion

so
174 times 1/12=14 and 6/12

the answer is 14 feet and 6 inches or 14.5 feet
7 0
4 years ago
Read 2 more answers
What is the solution of the system?<br> y=x^2-4x+5<br> Y=-2+8
Nataly_w [17]
Yea something is not right.if y=6 then you cant solve the system because you end up with x^2-4x-1
5 0
4 years ago
Write the number 31 in tens and ones. 2 tens
sammy [17]
The tens digit of 31 is 3. There are 3 tens in this number and that is equal to 30. Also, the ones digit of this number is equal to 1. The answer to this item are therefore 30 and 1.  Hope This Helps! :)
3 0
4 years ago
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Given ABCE is a rectangle, D is the midpoint of CE<br> Prove AD =~ BD
Bas_tet [7]

Since the congruent operator is ≅ and since AD is congruent to BD, I'm going to assume that you want to prove that AD is congruent to BD.    
1. DE is equal to CD by definition since D is the midpoint of CE.  
2. AE is equal to BC since opposite sides of a rectangle are equal to each other.  
3. Angle AEC is equal to Angle BCE since all angles in a rectangle are right angles and all right angles are equal to each other.  
4. Triangles ADE and BDC are congruent to each other because we have SAS congruence for both triangles.  
5. AD is congruent to BC since they're corresponding sides of congruent triangles.
5 0
3 years ago
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