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AlladinOne [14]
3 years ago
11

"If a number divided by 4 leaves remainder 2 or 3", then which one is the correct statement 'n why?

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

Answer:

As the number is a prime number. Therefore, option 'c' is true.

Step-by-step explanation:

Let us take the number 7 and divide it by 4

\frac{7}{4}

We know that

  • Quotient\frac{Remainder}{Divisor}

as

\frac{7}{4}=1\frac{3}{4}

so the remainder is 3.      ∵ Quotient\frac{Remainder}{Divisor}

As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.

Thus, the number is a prime number. Therefore, option 'c' is true.

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Solve for w by simplifying both sides of the equation, then isolating the variable.

w=13
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3 years ago
Which ratio is equivalent to 1 to 8?<br> 7 to 14<br> 7 to 9<br> 6 to 41<br> 6 to 48
Ivan

6 to 48 simplified

it becomes 1 to 8

so the answer is 6 to 48

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5 0
2 years ago
Read 2 more answers
If CDEF is a kite, CD =15 find CG
SpyIntel [72]

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

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Hope this helped

5 0
2 years ago
Which ordered pair is not a solution of f(x) = 2x + 9? (0, 9) (7, 23) (3, 14) (2, 13)
12345 [234]
(3,14) because when you plug in the x and y values you don’t end up with a true statement.
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4 0
3 years ago
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The directrix of a parabola is x = 4. Its focus is (2,6) .
Sati [7]

Answer:

Step-by-step explanation:

If you plot the directrix and the focus, you can see that the focus is to the left of the directrix.  Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific.  The formula for the parabola that opens to the left is

-(y-k)^2=4p(x-h)

We will solve this for x at the end.  The negative is out front because it opens to the left.  If it opened to the right, it would be positive.

The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus.  Since the vertex is directly between both the directrix and the focus, each distance is the same.  P = 1.  Filling in what we have now:

-(y-6)^2=4(1)(x-3) which simplifies to

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Now we will solve it for x.

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-(y-6)^2+12=4x so

-\frac{1}{4}(y-6)^2+12=x

4 0
3 years ago
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