What number should be added to both sides of the equation to complete the square? X^2-10=7

1 answer:

8 0

I must assume that you meant X^2-10x =7. If that is indeed the case, then:

X^2-10x =7 => x^2 -10x + 25 - 25 = 7, so that (x-5)^2 = 32 (Add 25, then
subtract 25)
Then x-5 = plus or minus sqrt(16)sqrt(2) = 4sqrt(2).

Then x = 5 plus or minus 4 sqrt(2) (answers)

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2. Mrs. Frederick is paid semimonthly.

Julli [10]

The annual salary of Mrs. Fredrick is $ 39397.2

Solution:

Given, Mrs. Frederick is paid semimonthly.

Her semi-monthly salary is $1.641.55.

Now, let us find her monthly salary first.

monthly salary = 2 x semi – monthly salary

So, monthly salary = 2 x 1,641.55 = $ 3283.1

Since there 12 months in a year, we obtain the annual salary as follows:

Now, the annual salary = 12 x monthly salary

Annual salary = 12 x 3283.1 = $ 39397.2

Hence, the annual salary of Mrs. Fredrick is $ 39397.2

5 0

3 years ago

PQRS is a parallelogram. PR and QS are diagonals. Match each element to its value. Tiles value of length of value of length of

ss7ja [257]

Since it is a parallelogram cente at point T, then the measure of PT is equal to the measure of TR. And the measure of QT is equal to the measure of TS.

PT = TR

a + 4 = 2a

4 = 2a -a

a = 4

PT = TR = 8 units

QT = TS

b = 2b -3

3 = 2b – b

b = 3

QT = TS = 3 units

5 0

3 years ago