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3 years ago

Instructions

Mathematics

1 answer:

Naya [18.7K]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

youre trying to find when -1/4x + 3/2 = -x+ 3

so if you set it up like that and then solve for x you get 2

then, you know that 2 is your x value so just plug in x into one of the equations to get the y value

(i used -x+3 bc its easier)

-2+3=y

y= 1

so your solution is (2,1)

also heres the graph

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The length of a rectangular room is 5 feet more than its width. The perimeter of the room is

Roman55 [17]

Answer:

$\displaystyle 39 = W \\ 44 = L$

Step-by-step explanation:

{L = W + 5

{166 = 2L + 2W

166 = 2[W + 5] + 2W

166 = 2W + 10 + 2W

166 = 10 + 4W

- 10 - 10

___________

$\displaystyle \frac{156}{4} = \frac{4W}{4}$

$\displaystyle 39 = W$ [Plug this back into both equations above to get the length of 44 feet; $\displaystyle 44 = L$

I am joyous to assist you anytime.

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4 years ago

A ball is shot from a cannon into the air with an upward velocity of 65 ft/sec. The equation that gives the height (h) of the ba

Sveta_85 [38]

Answer:

Step-by-step explanation:

Find AOS

X = -b/2a

X = -65/2(-14)

X = -65/-28

X = 2.32 secs

t = 2.32secs

A) y value when t = 2.32 is the maximum height.

Substitute t in the equation.

h(t)= -14t^2+65t+1.75

h(t)= (-14 * 2.32²) + (65 * 2.32) + 1.75

= (-14 * 5.38 ) + (65 * 2.32) + 1.75

= -75.35 + 150.8 + 1.75

= 77.2 ft

Maximum height attained by the ball = 77.2 ft

B) Time the maximum height achieved = 2.32secs

C) The ball off of the ground when it was shot is well t = 0

Substitute t in equation

h(t)= -14t^2+65t+1.75

h(0)= (-14 * 0²) + (65 * 0) + 1.75

= 0 + 0 + 1.75ft

The ball is 1.75ft off the ground when it was shot.

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4 years ago

Simplify the expression. Write your answer using only positive exponents.<br><br>p^-5

Klio2033 [76]

Answer:

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Step-by-step explanation:

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3 years ago

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cluponka [151]

Answer:

A person who has height less than 5.2521 m can walk under the rope without hitting his/her head.

Step-by-step explanation:

Radius of earth = R

Length of rope around Earth = Circumference of Earth = 2πR

Now add 33 m to the length of the rope that means to increase the circumference

C = 2πR+33

Now,

C = 2πR'

⇒2πR' = 2πR+33

In order to find the height we need to find difference of the radii

⇒2πR'-2πR = 33

$\\\Rightarrow R'-R=\frac{33}{2\pi}\\\Rightarrow R'-R=5.2521\ m$

So, a person who has height less than 5.2521 m can walk under the rope without hitting his/her head.

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3 years ago

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Andrews [41]

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4 years ago