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JulijaS [17]
3 years ago
11

What is the simplest form of the expression? V180 – 180 + 745

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0
V 180 + 565 this is the correct answer
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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
3 years ago
Jerry walked a dog from 6:40 am to 7:30 pm one day. If he was paid at the rate of 6$ per hour, how much did he earn that day?
Tom [10]

Answer:

$5

Explanation:

Since Jerry walked the dog from 6:40am to 7:30am, the total minutes that he walked the dog was 50 minutes. Also a note, an hour is 60 minutes.


Since he is paid at a rate of $6 per 60 minutes, we can make a proportion.

   660=x50


From here, you have to solve for x. So cross multiply, and then simplify.

   60x=50⋅6

   60x60=50⋅6/60

   60x60=50⋅6/60

   x=5⋅6/6

   x=5

So the answer is $5.

3 0
4 years ago
Read 2 more answers
The formula to convert temperature in Celsius to Fahrenheit is F= 9/5C+32. Solve for C<br> C= ?
icang [17]
F = 9/5C + 32

Subtract 32 to both sides:

F - 32 = 9/5C

Divide 9/5 to both sides or multiply by its reciprocal, 5/9:

5/9(F - 32) = C

Simplify:

C = 5/9F - 160/9
6 0
3 years ago
Find the next two terms in the pattern 100,98,94,88,80…
olga_2 [115]

Answer:

its 70 and 58

Step-by-step explanation:

The pattern: -2, -4, -6, -8, -10, -12...

5 0
2 years ago
Domain of the function of a graph with coordinates (-3,-2)
olga2289 [7]

Answer:

Domain is -3

Step-by-step explanation:

Given that coordinate of a graph is (-3, -2)

We have to find out the domain.

We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.

Domain is the set of values of A which have images in B.

Use the above definition.

We have A = {-3,...} and B = {-2,....}

The mapping is from -3 to -2

Hence domain is -3

6 0
3 years ago
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