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Katena32 [7]
2 years ago
12

Write an equation in slope-intercept form for the line that has the given slope and

Mathematics
1 answer:
NARA [144]2 years ago
8 0

Answer:

y = - x + 5 should be the answer. Hope this helps!

Step-by-step explanation:

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Answer: 1 x 10^3

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An angle in an isosceles triangle measures 30°. What could the measures of the other two angles be? Consider all options.
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Answer:35

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one number is four times as large as another if the numbers are added together the result is six less than seven times the small
liubo4ka [24]

Answer:

The numbers are 12 and 3.

Step-by-step explanation:

We can solve this problem by working with the information we have and setting up some equations.

We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.

Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.

Let's solve that equation like so:

4x + x = 7x - 6\\5x =  7x - 6\\-2x = -6\\x = 3

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.

4 0
3 years ago
Find the domain of the function (f/g)(x) given f (x)=x^2-4x-5 and g(x)=x^2-25
stealth61 [152]

Answer:

all real numbers except ±5.

Step-by-step explanation:

Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.

The domain of (f/g)(x) is all real numbers except ±5.

___

Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:

  1. add 25 and take the square root: x^2=25; x=±√25.
  2. factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.
5 0
2 years ago
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