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Sholpan [36]
1 year ago
9

If the line passes through the point (0,4) and has a slope of -1, find the solution to the system.

Mathematics
1 answer:
soldier1979 [14.2K]1 year ago
3 0

Answer:

y = - x + 4

Step-by-step explanation:

Use point-slope form: y-k = m(x-h) for point (h,k) with slope m

now just plug and chug:

y-4 = -1(x-0)

y-4 = -x

y= -x+4

not sure about what you meant by "solution." Just gonna assume that you were looking for the equation.

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1. The sum of the angles is 90° The difference between twice the larger angle and the smaller
Ostrovityanka [42]

Answer:

\displaystyle 25°\:and\:°65

Step-by-step explanation:

{90° = m∠1 + m∠2

{105° = 2m∠1 - m∠2

_______________

\displaystyle \frac{195°}{3} = \frac{3m∠1}{3} \\ \\ 65° = m∠1

All you have left to do is this:

\displaystyle 25° = -65° + 90°

So, your two angle measures are \displaystyle 25°\:and\:°65.

I am joyous to assist you anytime.

5 0
3 years ago
What are the two solutions of 2x^2 = -X^2 - 5x - 1?
Sidana [21]

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

6 0
3 years ago
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Serjik [45]

Answer:

C

Step-by-step explanation:

the side with 12 and on the smaller triangle and the side with 16 on the larger triangle are corresponding.

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Penelope's MP3 player has 20 megabytes of memory. She has already downloaded 11 megabytesShe will continue to download m more me
8_murik_8 [283]

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Step-by-step explanation:

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7 0
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