If a child weighs 83 pounds, how many ounces does she weigh? 664 oz. 664 oz. 830 oz. 830 oz. 966 oz. 966 oz. 1328 oz.

T is the midpoint of KL. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.

kotykmax [81]

Answer:

$L = (-10,10)$

Step-by-step explanation:

Given

$K = (2,-6)$

$T = (-4,2)$

Required

Determine the coordinates of L

Since T is the midpoint of K and L, we make use of:

$T_x = \frac{K_x + L_x}{2}$

and

$T_y = \frac{K_y + L_y}{2}$

Solving for $L_x$

$T_x = \frac{K_x + L_x}{2}$

$-4 = \frac{2 + L_x}{2}$

Multiply through by 2

$-8 = 2 + L_x$

$L_x = -8 - 2$

$L_x = -10$

Solving for $L_y$

$T_y = \frac{K_y + L_y}{2}$

$2 = \frac{-6+L_y}{2}$

Multiply through by 2

$4 = -6 + L_y$

$L_y = 4 + 6$

$L_y = 10$

Hence: The coordinates of L is:

$L = (-10,10)$

6 0

3 years ago

The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in th

weqwewe [10]

"how long..." is asking for time (t). "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground. Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

a=-16 b=60 c=3

$t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}$

$t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}$

$t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}$

$t = \frac{-60 +/- \sqrt{3792} }{-32}$

$t = \frac{-60 +/- 61.6}{-32}$

$t = \frac{-60 + 61.6}{-32}$ or $t = \frac{-60 - 61.6}{-32}$

$t = \frac{1.6}{-32}$ or $t = \frac{-121.6}{-32}$

t = -0.05 or t = 3.8 <em>disregard the negative</em>

Answer: 3.8 seconds

8 0

3 years ago

Please help me ASAP it’s times THANK U

goblinko [34]

Answer:

Only choices C and D are solutions

Step-by-step explanation:

6x + 3y = -15

y = -2x - 5

6x + 3y = -15

6x + 3(-2x - 5) = -15

6x - 6x - 15 = -15

0 = 0

Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.

We need to check each choice in just one equation.

Let's use the second equation.

y = -2x - 5

A.

(2, 7)

7 = -2(2) - 5

7 = -4 - 5

7 = -9 False

Not a solution

B.

(5, 0)

0 = -2(5) - 5

0 = -10 - 5

0 = -15 False

Not a solution

C.

(-3, 1)

1 = -2(-3) - 5

1 = 6 - 5

1 = 1 True

Solution

D.

-13 = -2(4) - 5

-13 = -8 - 5

-13 = -13 True

Solution

Answer: Only choices C and D are solutions

7 0

3 years ago

Based on the survey, what is the probability that a person chosen at random is a diabetic patient or an eye patient

KonstantinChe [14]

First, you must find the total number of people. Add together 32, 54, 78, 112, and 96 to get 372. Next, add the number of diabetic patients with the number of patients with eye problems (54 + 112 = 166).

Your fraction is now 116/372. Simplify this to get your answer, 29/93 or 0.31.

6 0

3 years ago

The local bike shop sells a bike and accessories package for $266. If the bike is worth 6 times more than the accessories, how m

tatiyna

Do 6x 266 in your calculator that’s ur answer

7 0

3 years ago