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LenaWriter [7]
4 years ago
14

Rewrite the equation by completing the square x^2 + 14x + 49 = 0

Mathematics
1 answer:
aleksley [76]4 years ago
4 0

Answer:

-7,1

Step-by-step explanation:

x^2+14x+49=0

x^2+14x/2=0-49

x^2+7x=-49

x^2+(7x)²=-49+49

x²+7x²=0

(x+7x)²=0

√(x+7x)²=0

x+7=0

x=-7,1

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How many roots does y=x^2-4x+6 have
pochemuha
Δ<<span>0 i think this is right</span>
7 0
3 years ago
Justin Verlander of the Astros threw a pitch 100 miles per hour. How many seconds did it take to get to home plate. The plate is
castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

brainly.com/question/24530464

brainly.com/question/17743460

5 0
3 years ago
the local library has a children's section with picture books and chapter books. the ratio is 2:3. if there are a total of 500 b
Katarina [22]

Answer:

<u>There are 300 chapter books and 200 picture books in the children's section at the local library.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of books in the children's section at the local library = 500

Ratio 2:3 for picture books and chapter books

2. How many chapter books are in the section?

We will use the Rule of Three Simple for answering this question, this way:

Chapter books       Total books

3                                  5

x                                 500

x * 5 = 500 * 3

5x = 1,500

x = 1,500/5

x = 300

<u>There are 300 chapter books and 200 picture books in the children's section at the local library.</u>

5 0
3 years ago
Help I’m struggling badly in math
Fynjy0 [20]

Answer:

bran to blueberry: 4:1

banana nut to bran: 1 to 2

total to corn: 12 muffins to 5 muffins

bran to total: 1/3

Step-by-step explanation:

hope that helped.

5 0
3 years ago
The sum of two integers is 116. if one of them is -79 find the other integers
julsineya [31]

Answer:

195

Step-by-step explanation:

So -79 + x = 116

then x = 116 + 79 = 195

4 0
3 years ago
Read 2 more answers
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