Answer:
y-intercept: (0, 2.5)
x-intercept: (1.67, 0)
Step-by-step explanation:
Right now, you have 3x + 2y = 5. You want to change it into slope-intercept form to make the problem easier to solve.
2y = -3x + 5
y = -3/2x + 5/2
From here, you can see that the y-intercept is (0, 5/2). You can also say that the y-intercept is (0, 2.5).
To get the x-intercept, substitute 0 for y.
0 = -3/2x + 5/2
3/2x = 5/2
3x = 5
x = 5/3
So, the x-intercept is (5/3, 0). You can also say that the x-intercept is (1.67, 0).
Hope this helps!
So firstly, <u>the factor (4n - 5) cannot be further factored, so we will be focusing on 2n² + 5n + 3.</u>
So for this, we will be factoring by grouping. Firstly, what two terms have a product of 6n² and a sum of 5n? That would be 2n and 3n. Replace 5n with 2n + 3n:

Next, factor 2n² + 2n and 3n + 3 separately. Make sure that they have the same quantity on the inside of the parentheses:

Now we can rewrite this expression as<u>
, which is your final answer.</u>
Answer: The winning ticket is
is equivalent to
.
Step-by-step explanation:
Let's check all the options
is not equivalent to 
is not equivalent to 
is equivalent to 
is not equivalent to 
Thus, the winning ticket is
is equivalent to
.
Answer:
Step-by-step explanation:
Formula
h = k/temp
Givens
h = 4 hours
t = 45 degrees
Solution
3 = k / 45 Multiply both sides by 45
3*45 = k
k = 135
Problem
what happens when h = 4 hours?
h = 4
k = 135
temp = ?
4 = 135 / temp Multiply both sides by temp
4temp = 135 Divide by 4
temp = 135 / 4
temp = 33.75
Note that as the time went up, the temperature came down
The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.
<h3>Correct Response;</h3>
The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>
<h3 /><h3>Method by which the above value is obtained;</h3>
The possible diagram in the question is attached
Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.
ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.
By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;


tan(∠CDE) = tan(∠BAE)
Therefore;

Which gives;
16 × (20 - x) = 25·x
320 = 41·x
x = 320 ÷ 41 ≈ 7.8
The point on the wall she should aim if she's standing at point <em>A</em> is therefore;
- <u>A, 7.8 feet away from point </u><u><em>B</em></u>
Learn more about trigonometric ratios here:
brainly.com/question/4326804