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2 years ago

Solve the equation 8·4^x+1=1

Mathematics

1 answer:

stepladder [879]2 years ago

4 0

Answer:

See work below

Step-by-step explanation:

$8(4^x)+1=1$

$9(4^x)=1$

$-9$ $-9$

$(4^x)=-8$

$/-8$ $/-8$

And this is where I'm stuck, can someone help me finish?

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Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

$32 = (4)^2 + (7-k)^2$

$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

4 0

3 years ago

Given that 35.8 x 4.23= 151.434<br>write down a division sum with an answer of 423.

Nina [5.8K]

Answer:

151434/358 = 423

Step-by-step explanation:

Every product with non-zero factors can be written as an equivalent division relation.

a·b = c ⇒ a = c/b

Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...

4.23 = 151.434/35.8

We can multiply this by 100 to get a division relation with a quotient of 423:

423 = 15143.4/35.8

If we want, we can move the decimal points another place to the right to get ...

151434/358 = 423

7 0

3 years ago

What is 7 to the power of 8 times seven to the power of -4

Elden [556K]

7 to the power of 8 is 5764801 and 7 to the power of -4 is 0.00041649312 so these timed equals

2400.99995<span> </span>

3 0

3 years ago

12 x (3 + 4) ÷2 - 10=

Serga [27]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

I need help on this math problem !

xeze [42]

Answer:

181 units²

Step-by-step explanation:

Let's break up the polygon into 3 shapes

Step 1: Area of the left rectangle

4(7) = 28 units²

Step 2: Area of middle rectangle

9(13) = 117 units²

Step 3: Area of top square

6² = 36 units²

Step 4: Add them all up

28 + 117 + 36 = 181 units²

8 0

3 years ago

Solve the equation 8·4^x+1=1​

Solve the equation 8·4^x+1=1