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Strike441 [17]
3 years ago
15

Pls help asap i need the help

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer:

-2.5 is correct answer

  1. Ans.=

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I need these anwsers asap I'll give 100 points!!
Nadya [2.5K]
11.
slope intercept is solve for y

12x+y=-5
y=-12x-5



12. y-y1=m(x-x1)
a point is (x1,y1) and slope is m

y+2=(-2/3)(x+3)
y+2=(-2/3)x-2
y=(-2/3)x+0

13.
slope find
(-1-2)/(-5-0)
-3/-5=3/5

given (0,2)
yint is 2
y=mx+b
b=yint

y=(3/5)x+2



14.
initially (x=0) y intercept is 9
speed is slope is -6 because getting close to home

y=-6x+9

a. standard form is solve for constant
6x+y=9

b. y intercpet is 9 that is how far you are away from home at start

c. x intercept is where y=0 or when you reach home
that is
0=-6x+9
6x=9
x=3/2
at 3/2 hours or 1.5hours

5 0
3 years ago
Read 2 more answers
A van traveling at a speed of 32.0 mi/h needs a minimum of 42.0 ft to stop. If the same van is traveling 67.0 mi/h, determine it
makkiz [27]

Answer:

Δx= 184.12 ft

Step-by-step explanation:

The equation you need to use is velocity as a function of displacement.

v^2= u^2 +2a(\delta x)

v = the speed at which the car is travelling,

and

v_o is the original speed (in this case zero).

The change in x (displacement) is how far the car travels. You will be solving for a (acceleration).

32^2= 0^2+ 2a\times42

solving we get

a= 12.19

now put this acceleration value into the second case when v= 67mi/h

67^2= 0^2 + 2\times12.19(change in x)

⇒Δx= 184.12 ft

5 0
3 years ago
Is (-2,7) (6,2) (3,13) (-8,-2) a function?​
nikitadnepr [17]

Answer:

No it is not a function.

Step-by-step explanation:

Hope it helped!

7 0
3 years ago
Jean throws a ball with an initial velocity of 64 feet per second from a height of 3 feet. Write an equation and answer the ques
Ganezh [65]
<h2>a. What is your equation?</h2>

This is a problem of projectile motion. A projectile is an object you throw with an initial velocity and whose trajectory is determined by the effect of gravitational acceleration. The general equation in this case is described as:

h(t)=-\frac{1}{2}gt^2+v_{0}t+h_{0}

Where:

h(t): \ height \ at \ any \ time \\ \\ g: \ acceleration \ due \ to \ gravity \ 9.8m/s^2 \ or \ 32.16ft/s^2 \\ \\ v_{0}= \ Initial \ velocity

So:

v_{0}=64ft/s \\ \\ h_{0}=3ft

Finally, the equation is:

h(t)=-\frac{1}{2}(32.16)t^2+(64)t+3 \\ \\ \boxed{h(t)=-16.08t^2+64t+3}

<h2>b. How long will it take the rocket to reach its maximum height?</h2>

The rocket will reach the maximum height at the vertex of the parabola described by the equation h(t)=-16.08t^2+64t+3. Therefore, our goal is to find t at this point. In math, a parabola is described by the quadratic function:

f(x)=ax^2+bx+c

So the x-coordinate of the vertex can be calculated as:

x=-\frac{b}{2a}

From our equation:

a=-16.08 \\ \\ b=64 \\ \\ c=3

So:

t=-\frac{64}{2(-16.08)} \\ \\ \boxed{t=1.99s}

So the rocket will take its maximum value after 1.99 seconds.

<h2>c. What is the maximum height the rocket will reach?</h2>

From the previous solution, we know that after 1.99 seconds, the rocket will reach its maximum, so it is obvious that the maximum height is given by h(1.99). Thus, we can find this as follows:

H_{max}=h(1.99)=-16.08(1.99)^2+64(1.99)+3 \\ \\ \boxed{H_{max}=66.68ft}

So the maximum height the rocket will reach is 66.68ft

<h2>d. How long is the rocket in the air?</h2>

The rocket is in the air until it hits the ground. This can be found setting h(t)=0, so:

0=-16.08t^2+64t+3 \\ \\ Applying \ quadratic \ formula: \\ \\ t_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=-16.08 \\ \\ b=64 \\ \\ c=3 \\ \\ t_{12}=\frac{-64 \pm \sqrt{64^2-4(-16.08)(3)}}{2(-16.08)} \\ \\ t_{1}=4.0264 \\ \\ t_{2}=-0.046

We can't have negative value of time, so the only correct option is t_{1}=4.0264 and rounding to the nearest hundredth we have definitively:

\boxed{t=4.03s}

3 0
4 years ago
If the measures of five interior angles of a hexagon are 133 , 111 , 92 , 153 , and 109 , what is the measure of the other inter
Burka [1]
The sum of the interior angles of a hexagon is equal

6\cdot\left(180^o-\dfrac{360^o}{6}\right)=6\cdot(180^o-60^o)=6\cdot120^o=720^o

Calculatle the measure of the other interior angle:

720^o-(133^o+111^o+92^o+153^o+109^o)=720^o-598^o=122^o

Answer: 122°
7 0
4 years ago
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