Find two consecutive whole numbers that 51 lies between.

Answers

Answer 1

Answer: Hello,

Let n and n+1 the numbers

n<=51<=n+1
51<=51<=52
50<=51<=51
2 solutions n=50 or n=51.

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Symplify (-7x/5y)(5x/-7)

Answers

Hi there

(-7x/5y)(5x/-7)

5x^2/5y

= x^2/y

I hope that's help !

What is the value of b2 - 4ac for the following equation? x^2 + 5x + 4 = 0

Answers

a=1
b=5
c=4 so b^2-4ac=(5)^2-4(1)(4)=25-16=9

Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +61. 11 to the power of 16 x 11 to the power of 1=

2. a to the power of 6 x a to the power of 8 =

3. (-2) to the power of 12 x (-2) to the power of 1=

4. 1.1 to the power of 7 x 1.1 to the power of 9 =

5. 3 to the power of 4 x 5 to the power of 2 =

Answers

Step-by-step explanation:

1. 11 to the power of 16 x 11 to the power of 1

$11^(16)*11^1=11^(16+1)=11^{17$

2. a to the power of 6 x a to the power of 8

$a^6*a^8=a^(6+8)=a^(14)$

3. (-2) to the power of 12 x (-2) to the power of 1

$(-2)^(12)*(-2)^1=(-2)^(12+1)=(-2)^(13)$

4. 1.1 to the power of 7 x 1.1 to the power of 9

$1.1^7*1.1^9=1.1^(7+9)=1.1^(16)$

5. 3 to the power of 4 x 5 to the power of 2

Assumed it is both 3 or 5, we take 3

$3^4*3^2=3^(4+2)=3^6$

can you write an equation by setting an expression equal to itself. would an equation like this be true

Answers

Of course ! An expression is always equal to itself.

But if there's, say, an 'x' in the expression, then such an equation would be true
for x=every possible number. You might say it has an infinite number of solutions ...
which certainly has to be true, because no matter what you do to an expression,
it's still always equal to itself !

yes it would be as long as it truly equals eachother

Liam calculated the slope of line AC between points A and B. Olivia calculated the slope of line AC between points B and C. Both Liam and Olivia drew triangles, as shown below, to calculate the slopes: A graph shows numbers from 0 to 27 on the x axis at increments of 3 and the numbers 0 to 6 on the y axis at increments of 1. A line AC is drawn that joins the ordered pairs 0, 0 and 27, 6.The ordered pair 9, 2 is labeled as B. A right triangle is drawn with AB as hypotenuse and height 2 units. Another right triangle is drawn with BC as the hypotenuse and height 4 units.

Which statement is correct about the slopes calculated by Liam and Olivia if both calculated the slopes accurately?

Liam calculated the slope as 2 over 9 and Olivia calculated it as9 over 2.
Liam calculated the slope as 9 over 2 and Olivia calculated it as2 over 9.
Both calculated the slope as 2 over 9.
Both calculated the slope as 9 over 2.

Answers

Liam calculated the slope of line AC between points A(0,0) and B(9,2):
m=(9-0)/(2-0) = 9/2
Olivia calculated the slope of line AC between points B(9,2) and C(27,6):
m=(27-9)/(6-2)=18/4=9/2
Answer: Both calculated the slope 9 over 2.

The correct statement about the slopes they both calculated is: D. Both calculated the slope as 9 over 2.

How to Calculate Slope of a Line?

Slope = rise/run = change in y / change in x

Slope of line AC calculated by Olivia by Liam = (9-0)/(2-0)

= 9/2

Slope of line AC calculated by Olivia = (27-9)/(6-2)

= =18/4

= 9/2

The true statement about the slopes calculated would be: D. Both calculated the slope as 9 over 2.

Learn more about slope on:

brainly.com/question/13861479

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A car has a maximum speed of 341.7 feet/second. Convert this speed to miles/hours.

Answers

341.7 feet per second = 232.98 miles per hour (rounded)

Just multiply measure in ft/s by 0.6818 to get mi/h

341.7 x 0.6818 = 232.97 mi/h

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