MATHEMATICS HIGH SCHOOL

Can u guys PLEASE explain the difference between 2 x 10 to the power of 4 and 2 to the power of 4

Answers

Answer 1

Answer:

Answer:

see explanation

Step-by-step explanation:

2 × $10^(4)$

= 2 × 10 × 10 × 10 × 10

= 2 × 100 × 100

= 200 × 100

= 20000

And

$2^(4)$

= 2 × 2 × 2 × 2

= 4 × 4

= 16

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Find the perpendicular distance from the point (3, -4) to the line 3x- 4y + 10 =0.

Answers

Answer:

3x - 4y = -10

-4y = -3x - 10

y = (3/4)x + (5/2)

The slope of the perpendicular line will be -4/3.

From (3, -4), go up 4 units, then left 3 units. You will be at (0, 0), so the equation of this line is y = (-4/3)x.

(3/4)x + (5/2) = (-4/3)x

9x + 30 = -16x

25x = -30

x = -6/5, so y = (-4/3)(-6/5) = 24/15 = 8/5

d = √((3 - (-6/5))² + (-4 - (8/5))²)

= √((21/5)² + (-28/5)²)

= (1/5)√(21² + (-28)²)

= (1/5)√(441 + 784)

= (1/5)√1,225

= (1/5)(35)

= 7

140% of what number is 14?

Answers

140% of 19.6 is 14 and you are very welcome

140% of what number is 14
140% × number = 14
(140% = $(140)/(100)$ = 1.4)
1.4 × n = 14
Divide by 1.4 to isolate n
$(1.4n)/(1.4)$ = $(14)/(1.4)$
1.4 and 1.4 cancels out
n = 10

140% of 10 is 14

Check:
$(140)/(100)$ × 10 = 14
1.4 × 10 = 14
14 = 14

There is my question

Answers

4=c
5= a
I hope this helps you

(x+3)y=14 which ordered pair is a solution to this equation ? A. 7,2 B 11,1 C 3,2 or D 5,2

Answers

The answer would be B.
Steps:
1. Take your X coordinate and plug it into your equation where the X is.
2. Take your Y coordinate and plug it into your equation where the Y is.
3. Distribute your Y to your numbers in the parenthesis.
4. Finally add the two numbers together.
5. See if you got the same answer on both sides of the equal sign.
Hope this helps! (:

(x + 3)y = 14

We just test each option.

A. x = 11, y = 1

(x + 3)y = 14

(7 + 3)*2

10*2

20 = 14 This is not correct, so the option is wrong.

B. x = 11, y = 1

(x + 3)y = 14

(11 + 3)*1

14*1

14 = 14 This is correct, so the option is the correct.

So option B is the correct one. No need to test the other options.

I hope this helps.

in the diagram shown below parallel lines m and m are crossed by transversal r and s which of the following is the sum of angles 1 and 2

Answers

Answer:3

Step-by-step explanation:m<1=105 because it is supplementary with the angle that is corresponding to 75 m<2=46 because these angles are corresponding.

Sparkle is 464 mm long and twilight is 46 cm long which of Amelia's cats is longer

Answers

If Sparkle is 464 mm long and twilight is 46 cm long then Sparkle is longer than Twilight by 4 mm.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

To compare the length of Sparkle and Twilight, we need to convert their lengths to the same unit of measurement.

Sparkle's length is given in millimeters (mm), while Twilight's length is given in centimeters (cm).

To convert Twilight's length to millimeters, we can multiply by 10

1 centimeter = 10 milli meters

Twilight's length in millimeters

= 46x 10

= 460 mm

Now we can compare the lengths:

Sparkle: 464 mm

Twilight: 460 mm

Therefore, Sparkle is longer than Twilight by 4 mm.

To learn more on Unit of Measurement click: