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2 years ago

Need help please 4x + Y = 1 , x + 2y = 9 rewrite equation into slope intercept form (y=mx+b)

Mathematics

1 answer:

Nesterboy [21]2 years ago

5 0

Answer:

Given and Explained Below.

Step-by-step explanation:

slope intercept form: y = mx + b ............where m is slope and b is y-intercept

1st question:

4x + y = 1

y = 1 - 4x

y = -4x + 1

2nd question:

x + 2y = 9

2y = 9 -x

y = (-x + 9)/2

y = $-\frac{1}{2}x + 4.5$

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3 years ago

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3 years ago

X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

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8 0

3 years ago

M. Score: 0 of 1 pt

beks73 [17]

Answer:

3×5×53

Step-by-step explanation:

You can use divisibility rules to find the small prime factors.

The number ends in 5, so is divisible by 5.

795/5 = 159

The sum of digits is 1+5+9 = 15; 1+5 = 6, a number divisible by 3, so 3 is a factor.

159/3 = 53 . . . . . a prime number,* so we're done.

795 = 3×5×53

_____

* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.

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3 years ago