Name the smallest angle of AABC. The diagram is not to scale. с 11 10 B

Determine the equation of the line that passes through points (2,4) and (6,1)

zzz [600]

Answer:

y = -3/4x + 11/2

Step-by-step explanation:

y2 - y1 / x2 - x1

1 - 4 / 6 - 2

-3 / 4

-3/4

y = -3/4x + b

4 = -3/4(2) + b

4 = -3/2 + b

11/2 = b

6 0

3 years ago

Write the number 3.8 in the form , using integers, to show that it is a rational number.

pantera1 [17]

9514 1404 393

Answer:

3.8 = 38/10 = 19/5

Step-by-step explanation:

You can always represent a terminating decimal number as the ratio of integers. Count the number of decimal places, and multiply and divide it by 10 to that power. If you like, you can reduce the resulting fraction. 3.8 has 1 decimal place, so our chosen power of 10 is 10¹.

3.8 = (3.8×10¹)/(10¹) = 38/10 = 19/5

6 0

3 years ago

A right rectangular prism has a square base and a height of 12 feet. Its volume, V, is 300 cubic feet. What are the lengths of t

neonofarm [45]

The answer to this question is d 5ft

3 0

3 years ago

Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6

goldenfox [79]

Answer:

Yes, they are parallel.

Step-by-step explanation:

Parallel lines have the same slope. We must find the slopes of the two lines.

When the equation of a line is written in the slope-intercept form,

y = mx + b,

the slope is m.

The first line has equation

$y = \dfrac{2}{3}x - 17$

It is already written in the slope-intercept form. Comparing y = 2/3x - 17 with y = mx + b, you see that m = 2/3. The slope of the first line is 2/3.

Now we solve the second equation for y to obtain the slope-intercept form of that equation.

4x - 6y = -6

Subtract 4x from both sides.

-6y = -4x - 6

Divide both sides by -6.

$\dfrac{-6}{-6}y = \dfrac{-4}{-6}x + \dfrac{-6}{-6}$

$y = \dfrac{2}{3}x + 1$

We now compare this form of the second equation with y = mx + b, and we see that m = 2/3.

Both equations have the same slope, 2/3, so the lines are parallel.

7 0

3 years ago

Read 2 more answers

Carol bought bananas for $0.50 per pound and 1 pint of strawberries for $2.25. If Carol paid $4.10, how many pounds, p , of bana

kykrilka [37]

The answer would be b. Due to the fact that it was stated that only ONE pint of strawberries was bought there would be no variable. However, the opposite occurs with the bananas, for the number of pounds was not given. This means that the 0.50 would need to have a variable. And finally, the 4.10 is the cost so it would be what everything equals.

6 0

3 years ago