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Ket [755]
3 years ago
13

The diagram shows a dilation of segment AB. Which

Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer: "The dilation is an enlargement". "point O is the center of dilation" and "The scale factor is 3"

this is correct i took the quiz

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Solve equation by using the quadratic formula.
Sati [7]

Answer: 1:  x=3, x=1

2:  x= -5

3:  There are 2 real solutions.

4:  There are 2 real solutions.

5:  There are no real solutions.

6.  There is 1 real solution.

7.  

8.  x= -6, x = -2

9.  x = -1/6, x=1

10.  

Explanation:

1.  The quadratic formula is

Substituting our known information we have:

2.  Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:

3.  The discriminant is b²-4ac.  For this problem, that is 20²-4(-4)(25)=400--400=800.  Since this is greater than 0, there are 2 real solutions.

4.  The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169.  This is greater than 0, so there are 2 real solutions.

5.  The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223.  Since this is less than 0, there are no real solutions.

6.  If the discriminant of a quadratic is 0, then by definition there is 1 real solution.

7.  Rewriting the quadratic we have 3x²-4x-2=0.  Using the quadratic formula we have:

8.  Factoring this trinomial we want factors of 12 that sum to 8.  6*2 = 12 and 6+2=8, so those are our factors.  This gives us:

(x+6)(x+2)=0

Using the zero product property we know that either x+6=0 or x+2=0.  Solving these equations we get x= -6 or x= -2.

9.  Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5.  (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:

6x²-6x+1x-1=0

We group together the first two and the last two terms:

(6x²-6x)+(1x-1)=0

Factor the GCF out of each group.  In the first group, that is 6x:

6x(x-1)+(1x-1)=0

In the second group, the GCF is 1:

6x(x-1)+1(x-1)=0

Both terms have a factor of (x-1), so we can factor it out:

(x-1)(6x+1)=0

Using the zero product property, we know either x-1=0 or 6x+1=0.  Solving these equations we get x=1 or x=-1/6.

10.  Substituting our information into the quadratic formula we get:

Step-by-step explanation:

5 0
2 years ago
Alex has collected apples. It has 40 boxes of 8.5 kg each and 6 sacks of 90kg each. Pack the apples in bags of 2.5 kg each. how
zimovet [89]

Answer:

40*8.5=340

6*90=540

total=880/2.5=352bags

3 0
3 years ago
5y + (86 - y) = 86 + 4y
Viefleur [7K]

Answer:

All real values, (-∞, ∞)

Step-by-step explanation:

<u>Step 1:  Distribute</u>

5y + (86 - y) = 86 + 4y

5y + 86 - y = 86 + 4y

<u>Step 2:  Combine like terms</u>

5y + 86 - y = 86 + 4y

4y + 86 = 86 + 4y

<u>Step 3:  Subtract 4y from both sides</u>

4y + 86 - 4y = 86 + 4y - 4y

86 = 86

<u>Step 4:  Subtract 86 from both sides</u>

0 = 0

Answer:  All real values, (-∞, ∞)

8 0
3 years ago
Read 2 more answers
A value is in the domain if there is a ____ on the graph of the function at that x-value
fredd [130]
<span>A value is in the domain if there is a point on the graph of the function at that x-value</span>
5 0
3 years ago
What is the simplest form of the expression below? <br><br> -2x²(3x²-2x-6)
nirvana33 [79]

Answer:

   

Solution Given:

To find the simplest form we need to open bracket

-2x²(3x²-2x-6)

-2x²*3x²-2x²*(-2x) -2x²*(-6)\

-6x^{4}+4x^{3}+12x^2 is  a required answer.

7 0
2 years ago
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