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nika2105 [10]
2 years ago
8

Factor out 2x squared minus 98 completely

Mathematics
1 answer:
olchik [2.2K]2 years ago
6 0

Answer:

2(x+7)(x-7)

Step-by-step explanation:

1. In 2x^2-98, there is a common factor of 2

2. The equation therefore becomes 2 (x^2 - 49)

3. We know that x^-49 is a difference of two squares and can therefore be factored into (x+7)(x-7)

4. Therefore the fully factored answer is 2(x+7)(x-7)

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What is the area of this triangle?
Naddika [18.5K]

Answer:

Area of the given triangle = 6.51 ft²

Step-by-step explanation:

If we redraw the triangle as shown in the figure attached we get the height of the triangle as x feet and base = 4.3 feet

Therefore area of ΔABC = (1/2) × Height (AD) × Base(BC)

From ΔABD

sin 53 = AD/AB = x/3.8

x = 3.8 × sin 53

= 3.8 × 0.7986 = 3.03 feet

Now area of ΔABC = (1/2)×3.03×4.3 = 6.51 feet²

5 0
3 years ago
Which of the following equations represents the line that is graphed on the coordinate grid below?
tatiyna

Answer:

y = -(1/3)x + 2

Step-by-step explanation:

Keeping in mind the equation of a line: y = mx + c

Notice three discernible points on the graph: (0,2), (3,1), (6,0).

The first and last points mentioned represent the intercept on y-axis and the intercept on x-axis respectively.

Therefore, when x = 0, y = 2. And 2 = m(0) + c

c = 2

Also, when y = 0, x = 6. And 0 = 6m + 2

6m = -2. And m = -(2/6) = -(1/3)

Therefore, y = -(1/3)x + 2

8 0
2 years ago
6= 5/3 (8x+9)<br><br> Solve for x in simplest form.
anzhelika [568]

Answer:

x = -27/40 or -0.675

Step-by-step explanation:

hope this helps

5 0
2 years ago
How to answer this question because i don’t understand
horrorfan [7]

Answer:

#1 THE LENGTH IS 24 FT, WIDTH IS 12 FT..... #2 DISTANCE IS 7

Step-by-step explanation:

ON PROBLEM ONE ITS SAYING FOR EVERY 1 CM ITS EQUALY TO 4 FEET, SO MULTIPLY 6CM*4 FEET OR 1*4  +  1*4  +  1*4  +  1*4  +  1*4  +1*4=24

YOU DO THE SAME FOR THE WIDTH WHICH WOULD BE 3CM*4FT=12

ITS THE SAME FOR THE SECOND PROBLEM TO YOUD DO 2*3 1/2=7

5 0
2 years ago
Read 2 more answers
Elena has $225 in her bank account. She takes out $20 each week for w weeks. After w weeks she has d dollars left in her bank ac
Diano4ka-milaya [45]

Answer:

225 - 20w = d

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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