There are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x
where a is a constant and a>1
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two equations:
y = –2x – 1 and
From the graph, we can see:
There are two intersection points:
(-1, 1) and (-2, 3)
The x coordinates are -1 and -2
x = -1, y = 1
x = -2, y = 3
Thus, there are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.
Learn more about the exponential function here:
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The amount of rim needed for each window is 141.4 in
<h3>How to find the length of the outer rim?</h3>
Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.
<h3>What is an arc?</h3>
An arc is part of section of the circumference of a circle
<h3>What is the length of an arc?</h3>
So, length of arc, L = Ф/360 × 2πR where
- Ф = central angle of arc and
- R = radius of circle.
Gven that for the window rim
- Ф = angle of the rim = 270° and
- R = radius of the rim = 30 in
Substituting the values of the variables into the equation for L, we have
L = Ф/360 × 2πR
L = 270°/360° × 2π × 30 in
L = 3/4 × 2π × 30 in
L = 3/2 × π × 30 in
L = 3 × π × 15 in
L = 45π in
L = 141.37 in
L ≅ 141.4 in
So, the amount of rim needed for each window is 141.4 in
Learn more about length of an arc here:
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3h - 8h + 10 = 10 - 5h
-5h + 10 = 10 - 5h
infinitely many solutions
Answer:
I could try.
Step-by-step explanation:
Steps:
1. Substitute the y in y=4x + 4 and put
X-6=-4x+4
2. Add 4x to both sides
3. 5x-6=4
4. Add 6 to both sides
5. 5x=10
6. Divide by 5 on both sides
7. X=2
8. Now to find the y, you substitute 2 for x in the problem y=x-6
9. Y=2-6
10. Y=-4
11. Your answer is
(2, -4)
