7 1

Statement 1: If √12 - √8 = a, then √12 + √8 is equal to 4/a.

Nana76 [90]

Answer:

Statement 1 is true; Statement 2 is false.

Step-by-step explanation:

Statement 1:

√12 - √8 = a

Let's use the given value of √12 + √8 ,that is, 4/ a.

If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:

=> (√12- √8)(√12 + √8) = a × 4/a

On the LHS,

identity used:

(a-b)(a+b) = a²-b²

On the RHS:

a gets canceled due to its presence in both the numerator as well as the denominator.

=> 12 - 8 = 4

=> 4 = 4

That's it!

We got LHS = RHS, that approves the existence of the given statement.

___________________

Statement 2:

"a + √b is called the rationalizing factor of c + √d if their product is 1"

That's not entirely right!

The correct statement would be:

" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."

Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.

___________________

Answer:

Hence, I'd say:

Statement 1 is correct but Statement 2 isn't.

That's the third option.

5 0

3 years ago

Bill bought a used car. After he'd owned the car for 10 weeks, he noticed that the car's odometer showed that it had gone a tota

lana [24]

Answer:

The formula that will estimate the odometer reading after Bill owned the car for X weeks is: 40,952.5 + 289.95X.

In turn, the number of miles the car had gone when Bill bought it was 40,952.5.

Step-by-step explanation:

Since Bill bought a used car, and after he'd owned the car for 10 weeks, I noticed that the car's odometer showed that it had gone a total of 43,852 miles (including the mileage on the car when Bill bought it). Subsequently, 30 weeks since Bill bought the car, the odometer shows 49,651 miles. Thus, assuming that Bill drives a consistent amount each week, to develop a formula that will estimate the odometer reading after Bill owned the car for X weeks and determine about how many miles had the car gone when Bill bought it, the following calculations must be performed:

(49.651 - 43.852) / 20 = X

5,799 / 20 = X

289.95 = X

So the average number of miles Bill drives per week is 289.95.

289.95 x 10 = 2,899.5

43,852 - 2,899.5 = 40,952.5

Thus, the formula that will estimate the odometer reading after Bill owned the car for X weeks is: 40,952.5 + 289.95X.

In turn, the number of miles the car had gone when Bill bought it was 40,952.5.

7 0

3 years ago

➤ Solve the inequalities. T -3 is less than or equal to 2

natta225 [31]

-3 is less than 2

< is the symbol

3 0

1 year ago

PLease helppppppppp!!!

Sunny_sXe [5.5K]

Answer:

437.068 28.019

Step-by-step explanation:

Not sure how to explain this one....it is what it is

7 ones = 7

3 tens = 30

4 hundreds = 400 added = 437

No tenths = 0

6 hudredths = .06

8 thousandths = .008 added to = 437.068

280 tenths = 280 * 1/10 = 28

19 thousandths = .019 summed = 28.019

3 0

2 years ago

Can someone help me with this question???

Ivanshal [37]

Z is an alternate interior angle to the supplementary angle to 62 degrees.

Therefore, 180 - 62 = z; 118 degrees.

z is a vertical angle to (4y-14) so we can set them equal and solve for y.

4y - 14 = 118
4y = 104
y = 26 degrees

8 0

3 years ago

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