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Helen [10]
3 years ago
10

Factor the polynomial expression 3x4 + 24x.

Mathematics
1 answer:
motikmotik3 years ago
5 0

Answer:

3x ( x+2)(x^2−2x+4)

Step-by-step explanation:

3x^4 + 24x.

Factor out the greatest common factor

3x*x^3 + 3x*8

3x(x^3+8)

Then factor the cubic term

The sum of cubes is a^3+b^3=(a+b)(a^2−ab+b^2)

3x ( x+2)(x^2−2x+4)

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Find the slope of a line perpendicular to 4x-y=6
ratelena [41]

Answer:

The slope is -1/4

Step-by-step explanation:

perpendicular line is y=-\frac{1}{4}x-6

8 0
3 years ago
The graph shows the number of laps that Jan runs as her coach times her.
andriy [413]
Slope formula : (y2 - y1) / (x2 - x1)
(2,4)...x1 = 2 and y1 = 4
(5,10)...x2 = 5 and y2 = 10
now we sub and solve
slope = (10 - 4) / (5 - 2) = 6/3 = 2

The slope of the line is 2....and this is basically saying that Jan runs 2 laps every minute
5 0
3 years ago
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I got it an 80% on my test and there were 25 questions how much did i miss
user100 [1]

Answer:

5 questions

Step-by-step explanation:

5 wrong = 80%

Good job !

7 0
3 years ago
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4. Rhombus QRST has diagonals intersecting at W. Point U is located on side QR and point V on diagonal RT
ad-work [718]

Answer:

Given:

In Rhombus QRST, diagonals QS and RT intersect at W and U∈QR and point V∈RT  such that UV⊥QR. (shown in below diagram)

To prove: QW•UR =WT•UV

Proof:

In a rhombus diagonals bisect perpendicularly,

Thus, in QRST

QW≅WS, WR ≅ WT and m∠QWR=m∠QWT=m∠RWS=m∠TWS=90°.

In triangles QWR and UVR,

m\angle QWR=m\angle VUR              (Right angles)

m\angle WRQ=m\angle VRU              (Common angles)

By AA similarity postulate,

\triangle QWR\sim \triangle VUR

The corresponding sides in similar triangles are in same proportion,

\implies \frac{QW}{VU}=\frac{WR}{UR}

QW\times UR=WR\times VU

QW\times UR=WT\times UV                 (∵ WR ≅ WT )

Hence, proved.

8 0
3 years ago
The problem of (-1)(-1)(-1) would be negative True or False
qwelly [4]

Answer:

True

Step-by-step explanation:

There are an odd number of negative signs (3)

If there is an odd number it is negative, but if it is even then the result will be positive

Here's a deeper explanation

-1 times -1 is simply 1

Then 1 times -1 is -1

Our final answer is -1 so this is true.

4 0
3 years ago
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