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katrin2010 [14]
3 years ago
9

-7p = -3p - 8 p = Help

Mathematics
2 answers:
jeka943 years ago
6 0

Answer:

p=2

Step-by-step explanation:

-7p = -3p - 8

Add 3p to each side

-7p+3p = -3p+3p - 8

-4p = -8

Divide each side by -4

-4p/-4 = -8/-4

p = 2

pentagon [3]3 years ago
6 0

Answer:

\huge{ \fbox{ \sf{p = 2}}}

Step-by-step explanation:

\bigstar{ \sf{  \: - 7p =  - 3p - 8}}

\underline{ \underline{ \mathfrak{Let's \: solve}}} :

\text{Step \: 1} :  \sf{Move \: 3p \: to \: left \: hand \: side \: and \: change \: it's \: sign}

\mapsto{ \sf{ - 7p + 3p =  - 8}}

\text{Step \: 2} :  \sf{Collect \: like \: terms}

\sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base}

\mapsto{ \sf{ - 4p =  - 8}}

\text{Step \: 3} :  \sf{Divide \: both \: sides \: by \:  - 4}

\mapsto{ \sf{ \frac{ - 4p}{ - 4}  =  \frac{ - 8}{ - 4}}}

\text{Step \: 4} :  \sf{Calculate}

\mapsto{ \sf{p = 2}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg
tamaranim1 [39]

Answer:

<em>The SUV is running at 70 km/h</em>

Step-by-step explanation:

<u>Speed As Rate Of Change </u>

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

d=\sqrt{x^2+y^2}

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)

We'll compute  :

d=\sqrt{(0.8)^2+(0.6)^2}=\sqrt{0.64+0.36}

d=1\ km

We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

\displaystyle \frac{x.x'+y.y'}{\sqrt{x^2+y^2}}=20

Thus we have

x.x'+y.y'=20

Solving for x'

\displaystyle x'=\frac{20-y.y'}{x}

Since y'=-60

\displaystyle x'=\frac{20+0.6(60)}{0.8}

x'=70\ km/h

The SUV is running at 70 km/h

7 0
3 years ago
What is the slope of the line that passes through the points (5,0) and (-3,1)? Write your assignment and simplest form.
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4 0
3 years ago
Which of the following relations is not a function?
goblinko [34]

Answer:

the last one

Step-by-step explanation:

because you have two (-1) and that means it is not a function.

7 0
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En un grupo de 100 personas 2/5 prefieren sopa de pollo, 4/10 prefieren comer hornado, y el resto prefiere fritada. A) ¿Qué part
castortr0y [4]
In a group of 100 people, 2/5 prefer chicken soup, 4/10 prefer to eat hornado, and the rest prefer frying. What part of the group prefers frying ? How many people prefer each type of food ? (thank u google translate)...I guess

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3 years ago
First 10 to comment get thanks
Keith_Richards [23]
Hello! If you have any questions feel free to ask
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