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3 years ago

Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers

Mathematics

1 answer:

lukranit [14]3 years ago

4 0

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

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Point B is a point of tangency. Find the radius r of OC.<br> А 9<br> B<br> r<br> n

insens350 [35]

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

$/AC/^{2}$ = $/AB/^{2}$ + $/BC/^{2}$

$(6 + r)^{2}$ = $9^{2}$ + $r^{2}$

36 + 12r + $r^{2}$ = 81 + $r^{2}$

collecting like terms,

12r = 81 - 36

12r = 45

r = $\frac{25}{12}$

= 3.75

r = 3.75

The radius is 3.75.

3 0

3 years ago

Mr. Yasin paid a total of 9.43 to buy three boxes of cereal. If he paid 3.99 for the 1st box and 2.97 for the 2nd box how much d

Vikentia [17]

Answer:

$2.47

Step-by-step explanation:

Pretend if Mr. Yasin didn't pay for the 3rd box, find out how much he had left after paying for the first 2 boxes.

9.43 - 3.99 - 2.97 = 2.47

8 0

3 years ago

Suppose the high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 10 feet above the height of the lo

Lunna [17]

Answer:

The low tide, when it is 10 feet below the high tide would be at 7am and 7pm

Step-by-step explanation:

8 0

3 years ago

A new sports car costs $21,000 at the dealership. If the dealership is

Molodets [167]

Answer:

16,800 dollars

Step-by-step explanation:

1. find 20 percent of 21,000= 4,200

2. subtract 4,200 from 21,000

21,000

-4,200

16,800 dollars

5 0

3 years ago

Allie has two cars- a truck and a sedan. Last week, she used 3 gallons of gas in the truck and 5 gallons of gas in the sedan and

gavmur [86]

Answer:

sedan = 26 miles/gallon

truck = 17 miles/gallon

Step-by-step explanation:

try to write the text in mathematical format as a system of equations

t=truck s=sedan

$\left \{ {{3t+5s=181} \atop {7t+6s=275}} \right.$

first equation can be written as

t= (181-5s)/3

we can use it in the second equation and rewrite it as

7[(181-5s)/3]+6s = 275

7(181/3 -5/3s) + 6s = 275

1267/3 - 35/3s + 6s = 275

-35/3s + 18/3s = 275-1267/3

-35/3s + 18/3s = 825/3 - 1267/3

-35s + 18s = 825 -1267

-17s = -442 s = 442/17 = 26 sedan has an average of 26 miles/gallon

we use this value of s in the first equation

3t + 5*26=181 3t=181-130 t= 51/3 = 17 truck has an average of 17 miles/gallon

5 0

3 years ago