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antoniya [11.8K]
2 years ago
13

HELP8 Prove that 8^6+4^11 is divisible by 17. Answer __*17

Mathematics
1 answer:
Marina CMI [18]2 years ago
8 0

Answer:

<u>262,144</u> goes in the blank

Step-by-step explanation:

8^6 = 262,144

4^11 = 4,194,304

4,194,304 + 262,144 = 4,456,448

4,456,448 ÷ 17 = 262,144

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This area model shows the quotient of 1/5÷4.
KiRa [710]

Answer: 4/5

Step-by-step explanation: 1/5 times 5/1=4/5

7 0
3 years ago
What is the slope of the line that passes through the points (-3,1) and (7,-14)
Katyanochek1 [597]

Answer:

-  \frac{3}{2}

Step-by-step explanation:

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Using the formula above,

slope of line

=  \frac{1 - ( - 14)}{ - 3 - 7}  \\  =  \frac{1 + 14}{ - 10}  \\  =  \frac{15}{ - 10}  \\  =  -  \frac{3}{2}

5 0
3 years ago
Help me plzz and thank u sm
vladimir2022 [97]

Answer:

The equation of the axis of symmetry is x = 7

Step-by-step explanation:

Mathematically, we have the equation of the axis of symmetry as;

x = -b/2a

where a is the coefficient of x^2 = 1

b is the coefficient of x which is -14

So, the equation of the axis of symmetry will be;

x = -(-14)/2(1) = 14/2 = 7

So the equation of the axis of symmetry is x =7

6 0
2 years ago
Mr. Howard's pool is connected to his pool house by a sidewalk as shown. He wants to buy sod for the
a_sh-v [17]

Answer: he needs to buy 578.5 yard² of Sod.

Step-by-step explanation:

Assuming the lawn is square shaped, the formula for determining the area of a square is

Area = length²

If the length of each side of the lawn is 24 1/2 = 24.5 ft

Area of the lawn = 24.5² = 600.25yard²

The area of the pool house is 16yard²

The area of the side walk is

3 × 1 = 3 yard²

The length of the pool is 7 1/2 = 7.5yards

The width of the pool is 2 1/2 = 2.5 yards. Therefore,

Area of pool = 7.5 × 2.5 = 18.75 yard²

Therefore, the amount of Sod that he needs to buy is

600.25 - (3 + 18.75) = 600.25 - 21.75

= 578.5 yard²

6 0
3 years ago
How do I find slope in a graph ?!
fenix001 [56]
Slope formula y=Mx+ b!
3 0
4 years ago
Read 2 more answers
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