Plz i need a quick help doing this question

Carrie and brent leave home at the same time. carrie drives due east at a rate of 30 mph, while brent drives due south at a rate

Helga [31]

<h3>They are 268 miles far apart after 4 hours</h3>

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem !

<u>Given :</u>

v₁ = 30 mph due east

v₂ = 60 mph due south

t = 4 hours

<u>Unknown :</u>

displacement = d = ?

<u>Solution :</u>

$d_1 = v_1 \times t$

$d_1 = 30 ~ mph \times 4 ~ h$

$d_1 = \boxed {120 ~ miles}$

$d_2 = v_2 \times t$

$d_2 = 60 ~ mph \times 4 ~ h$

$d_2 = \boxed {240 ~ miles}$

$d^2 = (d_1)^2 + (d_2)^2$

$d^2 = 120^2 + 240^2$

$d^2 = 72000$

$d = \sqrt{72000}$

$d = 120\sqrt{5} ~ miles$

$d \approx \boxed {268 ~ miles}$

<h2>Conclusion :</h2><h3>They are 268 miles far apart after 4 hours</h3>

<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437
Kinetic Energy : brainly.com/question/692781
Acceleration : brainly.com/question/2283922
The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

6 0

3 years ago

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Pls HELP!! it is factoring PST answer with explanation please!!!!!! 30 points!

kondaur [170]

Step-by-step explanation:

these are the answers of your questions

7 0

3 years ago

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Which expression is equivalent to Assume x > 0 and y 0.

Svetach [21]

we have

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}}$

we know that

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}} =\sqrt{\frac{55}{11}\frac{x^{7}}{x^{11}}\frac{y^{6}}{y^{8}}} \\ \\= \sqrt{\frac{5}{x^{4} y^{2}}} \\ \\ =\frac{\sqrt{5}}{x^{2} y}$

therefore

<u>the answer is</u>

The expression equivalent is $\frac{\sqrt{5}}{x^{2} y}$

3 0

3 years ago

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Please answer just look at how many points i will give

stepladder [879]

Answer:

(6,2)

Step-by-step explanation:

When solving a system of simultaneous equations, we want to see where the graphs intersect.

2x+5y =22 is the red line

x+y = 8 is the green line

They intersect at a point

The point is x=6 y=2

(6,2)

8 0

2 years ago

Suppose Q is the midpoint of PR. Use the information to find the missing value.

murzikaleks [220]

Step-by-step explanation:

If Q is the midpoint of PR

Then PQ + QR = PR

(6x + 25) + (16 - 3x)

group the same terms and add them

(6x - 3x) + (25 + 16)

Hence PR = (3x + 41)

But to find the value of PR....If Q is the midpoint....then PQ = QR...since they are both half lengths of PR;

; 6x + 25 = 16 - 3x

; 6x + 3x = 16 - 25...;9x = -9

Hence the value of...x = -1

Then substitute the value of x into the equation of PR....3x + 41

;3(-1) + 41

;-3 + 41

Hence PR = 38

3 0

3 years ago

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