All categories

3 years ago

Factorise fully 50 - 2y2

1 answer:

3 0

50 - 2y2
STEP
2
:

STEP
3
:
Pulling out like terms

3.1 Pull out like factors :

50 - 2y2 = -2 • (y2 - 25)

Trying to factor as a Difference of Squares:

3.2 Factoring: y2 - 25

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5
Check : y2 is the square of y1

Factorization is : (y + 5) • (y - 5)

Final result :
-2 • (y + 5) • (y - 5)

You might be interested in

Pls help its not that hard, im in 7th grade

Kamila [148]

i think it's 20 but i'm not that sure

5 0

3 years ago

Read 2 more answers

3. Using techniques from Calculus, show directly that the maximum value of a 1-D Gaussian distribution occurs at the point x = μ

Vilka [71]

Answer:

For a scaler variable, the Gaussian distribution has a probability density function of

p(x |µ, σ² ) = N(x; µ, σ² ) = 1 / 2π× $e^{\frac{-(x-u)^{2}}{2s^{2} } }$

The term will have a maximum value at the top of the slope of the 1-D Gaussian distribution curve that is when exp(0) =1 or when x = µ

Step-by-step explanation:

Gaussian distributions have similar shape, with the mean controlling the location and the variance controls the dispersion

From the graph of the probability distribution function it is seen that the the peak is the point at which the slope = 0, where µ = 0 and σ² = 1 then solution for the peak = exponential function = 0 or x = µ

5 0

3 years ago

GEOMETRY PEOPLE PLEASE HELP ME!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!

IrinaVladis [17]

$\Delta KLJ\sim\DeltaNPM$ (AAA) Corresponding angles are congruent.

Therefore, the sides of the triangles are proportional:

$\dfrac{4x-4}{20}=\dfrac{30}{25}$ cross multiply

$25(4x-4)=(20)(30)$ use distributive property

$(25)(4x)+(25)(4)=600\\\\100x+100=600$ subtract 100 from both sides

$100x=500$ divide both sides by 100

$x=5$

--------------------------------------------------------------------------------------------

$\Delta PQR\cong\Delta STU$ (SAS)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Therefore we have the equation:

$3y-2=y+4\qquad|+2\\\\3y=y+6\qquad|-y\\\\2y=6\qquad|:2\\\\y=3$

The perimeter of △PQR:

$P=4+6+3y-2=8+3y$

Substitute the value of y to the expression:

$P=8+3(3)=8+9=17\ ft$

7 0

3 years ago

A ticket for a school musical is $12. There is a 5% transaction fee if the ticket is purchased online. What is the total cost of

gulaghasi [49]

Answer: The cost of a ticket bought online is $12.60.

Step-by-step explanation: First, we need to find the value of the transaction fee. Multiply 12 and 5%.

$12 x 0.05 = $0.60.

Now we have the fee. Lets add the fee with the original cost.

$12 + $0.60 = $12.60.

Therefore, we can conclude that the cost of a ticket that is purchased online is $12.60.

3 0

3 years ago

The temperature at 6pm was 0 degrees Fahrenheit at 10 pm the temperature was -11.2 degrees Fahrenheit write an expression that y

lana66690 [7]

The answer is the temperature goes down 2.8° every hour and the expression is x=-11.2/4 because 4 is how many hours between 6pm and 10pm and its -11.2 because that was how much the temperature dropped from 6pm to 10pm

8 0

3 years ago

Factorise fully 50 - 2y2​

Factorise fully 50 - 2y2