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3 years ago

Solve the following quadratic equations by completing the square. y^2-14y+48=0

Mathematics

1 answer:

NISA [10]3 years ago

5 0

Answer:

y = 6 or 8

Step-by-step explanation:

1. Subtract the constant:

y^2 -14y = -48

2. Add the square of half the y-coefficient:

y^2 -14y +49 = -48 +49

Write as a square, if you like:

(y -7)^2 = 1

3. Take the square root:

y -7 = ±√1 = ±1

4. Add the opposite of the constant on the left:

y = 7 ±1 = 6 or 8

The solution is y = 6 or y = 8.

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What is the equation of the line that passes through the point (5, -6) and has a<br> slope of 3/5

Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

8 0

2 years ago

Jim makes the chart shown below to prove that Triangle APD is congruent to triangle BPC:

Oliga [24]

Answer:

Given a square ABCD and an equilateral triangle DPC and given a chart with which Jim is using to prove that triangle APD is congruent to triangle BPC.

From the chart, it can be seen that Jim proved that two corresponding sides of both triangles are congruent and that the angle between those two sides for both triangles are also congruent.

Therefore, the justification to complete Jim's proof is "SAS postulate"

Step-by-step explanation:

6 0

2 years ago

How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from? 720 20,160 40,320 48?

Rudik [331]

The number of permutations of 8 people taken 6 at a time is given by:
$8P6=\frac{8!}{(8-6)!}=20,160
$

5 0

2 years ago

Read 2 more answers

Please write answers to the questions that are in the image.

marishachu [46]

Answer:

To find part A you need to find common denominator.

1/3 + 3/5=

5/15 + 9/15= 14/15

His mistake for a is that he didn't find the common denominator and that he just added the fraction as it is. So the corrected version would be 14/15.

To find part B you also need to find the least common denominator.

11/12-5/6=

11/12-10/12=1/12

His mistake was that he didn't find the least common denominator and he subtracted the fraction as it is. The answer corrected would be 1/12.

Step-by-step explanation:

8 0

3 years ago

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Please help me on this one would be great help.

dusya [7]

T = 60

please mark me brianliest

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2 years ago

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