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kodGreya [7K]
2 years ago
14

Sara's high school played 15 basketball games this year and 3 were at night.

Mathematics
1 answer:
-BARSIC- [3]2 years ago
5 0
She played 15 games and lost 4 so 15-4=11 they won 11 games
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67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.
olganol [36]

Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
  • y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

3x = 2y

Switch the sides

2y=3x

Divide both sides by 2 to isolate y

\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

<u>2) Determine the y-intercept</u>

y=\frac{3}{2} x+b

Plug in the given point, (4,0)

0=\frac{3}{2} (4)+b\\0=6+b

Subtract both sides by 6

0-6=6+b-6\\-6=b

Therefore, -6 is the y-intercept of the line. Plug this into y=\frac{3}{2} x+b as b:

y=\frac{3}{2} x-6

I hope this helps!

7 0
2 years ago
Which statement represents the relationship between y=4^x and y=log4x?
Deffense [45]
It's going to be # 2
6 0
3 years ago
Read 2 more answers
What are three different ways to write 5 to the 11 power
Olin [163]
(5)(5)(5)(5)(5)(5)(5)(5)(5)(5)(5)
5^11
That is two of the three but I'm not quite sure if there is a third.
3 0
2 years ago
Read 2 more answers
Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?\
Yuliya22 [10]

Answer:

The directrix is y=6 and focus is (0,4)

The equation of the parabola is,

20-4y=x²

5 0
3 years ago
What is the solution to the equation below? Round your answer to two decimal places.<br> e^x = 0.5
ASHA 777 [7]

Answer:

x = -0.69

Step-by-step explanation:

We can get this by writing the equation in the logarithmic form to base e

We have this as;

log e 0.5 = x

x = ln 0.5

x = -0.69315

To two decimal places, this is -0.69

3 0
2 years ago
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