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3 years ago

Please help me. Brainliest to best answer!

Mathematics

1 answer:

Bingel [31]3 years ago

6 0

Answer:

4y + 48 - 16x = 0 ~Solve for y~

4y = -48 + 16x

y = -12 + 4x

The slope is 4.

We'll use the point (1, 4) and m = 4.

Plug these into the equation: y - y1 = m(x - x1)

y - 4 = 4(x - 1)

y - 4 = 4x - 4

y = 4x

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Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer for 45 minutes longer than she plays golf. P

Zielflug [23.3K]

Answer:

Part A) x + y=125, y = x +45

Part B) 85 minutes

Part C) Not possible

Step-by-step explanation:

Given that Angela plays soccer and golf for a total of 125 minutes everyday.

Number of minutes she plays golf = x minutes

Number of minutes she plays soccer = y minutes

Part A:

Total time she plays golf and soccer is 125 minutes.

$x+y=125 ...... (1)$

Angela plays Soccer for 45 minutes longer than she plays golf i.e.

$y = x+45 ....... (2)$

The pair of linear equations are:

$x + y=125, y = x +45$

Part B:

Let us solve the linear equations (1) and (2):

Putting value of y from equation (2) into equation (1):

$x+x+45=125 \\\Rightarrow 2x+45=125\\\Rightarrow 2x=80\\\Rightarrow x=40$

Putting value of x in equation (2):

$y = 40 +45 = 85\ minutes$

Angela plays golf for 85 minutes daily.

Part C:

Given that

Angela spends 80 minutes on soccer.

Total Time = 125 minutes

$\Rightarrow$ Time spent on golf = 125 - 80 = 45 minutes

Time spent on soccer longer than golf = 80 - 45 = 35 minutes $\neq$ 45 minutes

Hence, it is not possible for Angela to have spent 80 minutes playing soccer if she plays for a total of exactly 125 minutes and plays soccer for 45 minutes longer than she plays golf.

So, the answers are:

Part A) x + y=125, y = x +45

Part B) 85 minutes

Part C) Not possible

5 0

2 years ago

3y+4=-8 what does y equal?

lions [1.4K]

Answer: $y=-4$

Subtract 4 from both sides

$3y+4-4=-8-4\\3y=-12$

Divide both sides by 3

$3y/3=-12/3$

$y=-4$

6 0

3 years ago

Read 2 more answers

A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equ

Ierofanga [76]

Answer:

t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Step-by-step explanation:

To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

h(t) = -16t² + 96t

= -16(t² - 6t)

= -16(t² - 6t + 9) - (-16) * 9

= -16(t - 3)² + 144

Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".

6 0

3 years ago

Alexis buys groceries using her credit card her card has an APR of 19.99% and she must pay at least 5% of the balance at the end

avanturin [10]

Answer:

The answer is that she would pay $65.56 in finance charges at the end of the month.

Step-by-step explanation:

Given: APR = 19.99%

Carry Over Balance: $398.97

The APR or Annual Percentage Rate, is calculated daily. You will need to get the daily periodic rate, or DPR, so divide the APR by 365:

19.99% = .1999

.1999 / 365 = .005477 (This is the Approximate DPR, rounded up to .005477)

To get the finance charge, multiply the average daily balance by the DPR and then by 30 days:

398.97 * .005477 * 30 = $65.56 finance charge for this carry over balance, at the end of the month. This assumes that the balance is the average daily balance.

Hope this helps!! Have a great day!

7 0

3 years ago

adelina 88 [10]

Answer:

IHG= scalene

HJI= isosceles

KHI= scalene

HJK= equilateral

4 0

2 years ago