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vodomira [7]
3 years ago
7

Write an equation in slope-intercept

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0
The answer is y= -2x+4
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Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share an
bija089 [108]

Answer:

  • a) 6.5 seconds
  • b) 13 seconds
  • c) 679 ft

Step-by-step explanation:

<u>Given function:</u>

  • h(t) = -16t^2 + 208t + 3

a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:

  • h = -208/2(-16) = 6.5 seconds

b) <u>Time the ball was in the air:</u>

  • -16t^2 + 208t + 3 = 0

Solving we get approximately t = 13 seconds

c) <u>Maximum height is at vertex, we found t above:</u>

  • h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
3 0
3 years ago
4. Simplify the expression. (6 points)
Lunna [17]

<span>4. Simplify the expression.
sine of x to the second power minus one divided by cosine of negative x</span>

<span>(1−sin2(x))/(sin(x)−csc(x))<span>

</span>sin2x+cos2x=1</span> <span>1−sin2x=cos2x<span>

</span>cos2(x)/(sin(x)−csc(x))</span> <span>csc(x)=1/sin(x)</span> <span>cos2(x)/(sin(x)− 1/sin(x))= cos2(x)/((sin2(x)− 1)/sin(x))</span> <span>sin2(x)− 1=-cos2(x)</span> <span>cos2(x)/(( -cos2(x))/sin(x))
=-sin(x)</span>
<span>the answer is the letter a) -sin x

</span><span>5. Find all solutions in the interval [0, 2π). (6 points)
sin2x + sin x = 0
</span> using a graphical tool  
the solutions   x1=0 x2=pi <span>x3=3pi/2
the answer is the letter </span><span>D) x = 0, π, three pi divided by two</span>

3 0
4 years ago
Read 2 more answers
Using the slope formula, find the slope of the line through the given points. (-2,-3) and (2,-3)
Goryan [66]

<em>Answer:</em>

<em>0</em>

<em>Step-by-step explanation:</em>

<em>   Slope formula: </em>

<em>           ↓</em>

<em> \frac{Y_2-Y_1}{X_2-X_1}</em>

<em> Slope intercept formula:</em>

<em>             ↓</em>

<em>    </em>

<em>      Y=MX+B</em>

<em>\frac{(-3)-(-3)}{2-(-2)}=\frac{0}{4}=0</em>

<em>Therefore the slope is 0.</em>

<em></em>

<em></em>

<em>0 is the correct answer.</em>

<em>I hope this helps you, and have a wonderful day!</em>

5 0
3 years ago
A roofer props a ladder against a wall so that the top of the ladder reaches a 20 foot roof that needs repair. If the angle of e
Burka [1]

Answer:

19.33 ft

Step-by-step explanation:

This analogy has to do with Pythagoras theorem.

We're given our angle of elevation to be 46°, and told that the height of the building to be 20 ft. Using Pythagoras theorem, we know that the given height is opposite to the angle of elevation, and thus, the required distance is adjacent to it.

Sin 46° = opp / hyp

Sin 46° = 20 / hyp

hyp = 20 / sin 46

hyp = 20 / 0.719

hyp = 27.82 ft

We've gotten the length of the ladder, our hypotenuse, to be 27.82. It's tied length we'd then use top find the needed length.

Cos 46° = adj / hyp

Cos 46° = adj / 27.82

adj = 27.82 * Cos 46

adj = 27.82 * 0.695

adj = 19.33 ft

Therefore, the required length is approximately equal to 19.33 ft

6 0
3 years ago
An item that was being sold for $45.00 was raised to $60.00. Find the percent increase in price.
Alexxx [7]

Answer:

u get raised money subtract sold and da answer u get divide wiz raised one and multiply by 100%

4 0
3 years ago
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