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3 years ago

10

A student says the prime factors of 17 are 1 and 17

2 answers:

Tju [1.3M]3 years ago

6 0

That is correct as 17 is a prime number and can only be divided by 1 and itself

Hope this helps :)

yarga [219]3 years ago

4 0

So whats the question u want us to answear

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What is the sum of 5x^2y and (2xy^2 + x^2y)

eimsori [14]

Recognize that you must combine "like" terms. 5x^2y and x^2y are "like" terms.

Adding them together, you get 6x^2y.

Now add 2xy^2 to 6x^2y. These are NOT "like" terms, so you end up with
6x^2y+2xy^2 as your final answer. This answer is acceptable as is.

However, you could factor out the common factors: 2xy(3x+y).

8 0

3 years ago

The expression n2 + n represents the total number of blocks used in the nth figure of a pattern. Use the equation n2 + n = 56 to

Brrunno [24]

We have to solve this quadratic equation $n^{2}+n=56$ for n to get <em>which figure has 56 blocks</em>.

$n^{2}+n=56\\n^{2}+n-56=0$

For middle term factorization, we need <em>two numbers that multiplied gives us -56 and added gives us 1 (coefficient of n).</em>

<em>Such two numbers are </em><em>8</em><em> and </em><em>-7</em><em>. We can now write,</em>

<em> $n^{2}+n-56=0\\(n+8)(n-7)=0\\n=-8, 7$ </em>

<u><em>"There is no negative figure number possible, so we disregard -8"</em></u>

Our answer is 7.

ANSWER: The 7th figure has 56 blocks.

3 0

3 years ago

Read 2 more answers

What is the distance between the points (-6,5) and (8,-2) on a coordinate plane?

Naddik [55]

Distance Formula: $D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Apply the points: $D=\sqrt{(8-(-6))^2+((-2)-5)^2$

Solve: $D=\sqrt{(8-(-6))^2+((-2)-5)^2}\\D=\sqrt{14^2+(-7)^2}\\D=\sqrt{169+49}\\D=\sqrt{218}$

Since the square root of 218 cannot be simplified, the answer is

$D=\sqrt{218}$

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0

3 years ago

.?????????????????????????

weqwewe [10]

Step-by-step explanation:

To divide fractions, we have to focus on 4 steps, which are:

1: Change to improper fractions

2: Keep the same

3: Change the sign to multiplication

4: Flip the 2nd fraction in the equation

So, step one:

1/3 / 4/5

Step two:

1/3 / 4/5

Step three:

1/3 x 4/5

Step four:

1/3 x 4/5 = (4 / 15)

4/15 is in simplist for.

Therefore, your answer is 4/15.

Best of Luck to you!!

4 0

3 years ago

Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, a

bekas [8.4K]

9514 1404 393

Answer:

(c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
NOT linearly independent

Step-by-step explanation:

We want ...

c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0

Substituting for the fn function values, we have ...

c1·x +c2·x² +c3·(2x -4x²) ≡ 0

This resolves to two equations:

x(c1 +2c3) = 0

x²(c2 -4c3) = 0

These have an infinite set of solutions:

c1 = -2c3

c2 = 4c3

Then for any parameter t, including the "trivial" t=0, ...

(c1, c2, c3) = (-2t, 4t, t)

__

f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)

7 0

2 years ago