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Thepotemich [5.8K]
3 years ago
10

Step by step how to solve this equation by completing the square x^2-16x+-60

Mathematics
1 answer:
anygoal [31]3 years ago
5 0

Answer:

Step-by-step explanation:

x^2-16x+60

(x-6)(x-10) factor the equation

x-6=0

x=6

x-10=0

x=10

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Twice the first number is eleven more than the sum of the other two numbers. The sum of twice the first number and three times t
lidiya [134]
Well first you have to make variables for each number.
1st - x
2nd - y
3rd - z

first sentence says twice first number so 2x. is means equals so =. eleven more than sum of the other two numbers. sum of other two numbers is (y + z) and eleven more than that is (y + z) + 11. So so this sentence says:
2x = (y + z) + 11

second sentence says sum of twice the first and three times third. twice first is 2x and three times third is 3z. their sum would be (2x + 3z). It it says is one more than second number. So = (y + 1). So so this means:
(2x + 3z) = (y + 1)

third sentence says second number (y) is is equal to sum of first and third (x + z). so;
y = (x + z)

now for the work.

We we can easily solve for a by subtracting the first 2 equations. the way to subtract 2 equations is by subtracting one left side of equal sign from the other equations left side and then doing the same with the right side.

So we will subtract the 1st and second equations we made.
So so left sides would be
2x - (2x + 3z)
2x - 2x - 3z
-3z

right side would be:
y + z + 11 - (y + 1)
y + z + 11 - y - 1
z + 10

now put the sides with an equal sign
-3z = z + 10
-4z = 10
z = -2.5

now we can plug in z into the equations and subtract second and third equations. But but we will subtract opposite sides. So so left minus right and right mi is left after we plug in z:
(2x + 3 (-2.5)) - (x + (-2.5))
2x - 7.5 - x + 2.5
x - 5

other one would be
(y + 1) - y
1

So so put an equal sign and get:
x - 5 = 1
x = 6

now plug x and x into 3rd equation
y = x + z
y = 6 + (-2.5)
y = 3.5

now we have values. You can check answer by plugging values into other 2 equations
6 0
4 years ago
Lines ℓ and m are intersected by transversal t. ℓ ∥ m. Lines l and m are horizontal with l above m and intersected by transveral
artcher [175]

Answer:

<5 = 105 degrees

Step-by-step explanation:

From the description given, since line l is parallel to m then <4 is alternate to <5 and two alternate angles are equal, if thst is the case

<4 = <5 (alternate angle)

Since <4 = 105 degrees, hence m<5 = 105 degrees

7 0
3 years ago
Okay I do not get questions like this ..
liberstina [14]
The answer is D cuz its a +ve parabola and symmetric to the x axis
8 0
3 years ago
What is the area of this trapezoid HELP PLEASE
Zepler [3.9K]

Answer:

Step-by-step explanation:

The answer is 44

6 0
3 years ago
Read 2 more answers
Prove that 3 + 2√5 is irrational
netineya [11]

Answer:

A rational number is any integer, fraction, terminating decimal, or repeating decimal. The square root is not rational.

<em>good luck, i hope this helps :)</em>

7 0
3 years ago
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