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Svetllana [295]

3 years ago

7

4x + 2y = 7 I need help

1 answer:

Rom4ik [11]3 years ago

5 0

the answer is circle in blue

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Duffy was analyzing the trajectory made after throwing a football. his coach was able to measure that his throw reached a maximu

gregori [183]

Answer:

4.35 seconds.

Step-by-step explanation:

Let x represent the time the independent variable and y be dependent variable (height of the ball).

We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.

We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.

As point (2,18) represents maximum height of ball, so it will be vertex of parabola.

Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.

We know that vertex form of a downward opening parabola is in form: $y=-a(x-h)^2+k$

$y=-a(x-2)^2+18$

Let us find value of a using point (0,5).

$5=-a(0-2)^2+18$

$5=-a*4+18$

$5-18=-a*4+18-18$

$-13=-4a$

$\frac{-13}{-4}=\frac{-4a}{-4}$

$\frac{13}{4}=a$

Therefore, the equation $y=-(\frac{13}{4})(x-2)^2+18$ can be used to find the height of ball after x seconds.

To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.

$0=-(\frac{13}{4})(x-2)^2+18$

$0-18=-(\frac{13}{4})(x-2)^2+18-18$

$0-18=-(\frac{13}{4})(x-2)^2$

$-18*(\frac{4}{13})=-(x-2)^2$

$\frac{72}{13}=(x-2)^2$

Taking square root of both sides of our equation we will get,

$\sqrt{\frac{72}{13}}=x-2$

$x-2\pm 2.35339$

$x-2=2.35339\text{ (or) } x-2=2.35339$

$x-2+2=2.35339+2\text{ (or) } x-2+2=-2.35339+2$

$x=4.35339\text{ (or) } x=-0.35339$

$x\approx 4.35\text{ (or) } x\approx -0.35$

Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.

7 0

3 years ago

Line a slope of -2 and passes throughlthe point (- 5, - 2)

Rzqust [24]

Answer:

y = -2x -12

Do you want me to explain?

5 0

3 years ago

Read 2 more answers

Find the range of f given the domain<br> = {-2, 0, 5, 9}

muminat

Answer:

The range to {-2, 0, 5, 9} is 11

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 9 − − 2 = 11 .

11

I hope this helps

6 0

3 years ago

Given the quadriatic equation

vazorg [7]

Answer:

⇒ The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0

∴ We get, a=1b=−k,c=9

⇒ It is given that roots are real and distinct.

∴ b2−4ac>0

⇒ (−k)2−4(1)(9)>0

⇒ k2−36>0

⇒ k2>36

⇒ k>6 or k<−6

∴ We can see values of k given in question are correct.

8 0

2 years ago

Nishi invests £2200 at 5% interest per year.

lord [1]

I =(2200×5%×3)/100
=3.3
3 years = 3.3 +2200
= 2203.30
I =(2200×5%×5)/100
=5.50
5 years =5.50 +2200
= 2205.50

6 0

3 years ago