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Alex787 [66]
3 years ago
6

The product shown is a difference of squares. What is the missing constant term in the second factor?

Mathematics
2 answers:
34kurt3 years ago
7 0
Difference of two squares is of the form (a + b)(a - b) or vice-versa. Here, a = -5x and b = 3.
(-5x - 3)(-5x + 3)
Answer: 3
Verdich [7]3 years ago
7 0

Answer: (–5x – 3)(–5x +<u>3</u>)

Step-by-step explanation:

3 is the answer.

this answer is 100% correct for edge.nuity

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Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0
3 years ago
Read 2 more answers
Can someone help me with my homework please?
grigory [225]
Multiplying x^2 by 5 stretches the graph vertically by a factor of 5.  Try graphing both x^2 and 5x^2 and see for yourself that this is correct.
3 0
3 years ago
The product of two is no greater than 90. If one of the numbers is -10, what is the other number?
xeze [42]
The answer is -10 x -9, -8, -7, -6 etc
5 0
3 years ago
Please Help!!! 10 Points! Brainliest Answer
Crank
The answer is b.) 120 degrees
8 0
3 years ago
Read 2 more answers
Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded son
LekaFEV [45]

Answer:

A. $2.89(m)=$40

B. 13 songs

Step-by-step explanation:

$2.89(m)=$40

m=$40/$2.89

m=13.84

She can download a maximum of 13 songs

Check:

$2.89 (13 songs)=$37.57

$40-$37.57=$2.43 left on her gift card

m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43

4 0
3 years ago
Read 2 more answers
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