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3 years ago

Do slopes stay the same in a dialation?

Mathematics

1 answer:

Nataly_w [17]3 years ago

6 0

No. they change because you are changing the size of the shape

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Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help

Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

$x=y-8$ ----> $y=x+8$ ----> equation A

$xy=105$ ----> equation B

substitute equation A in equation B

$x(x+8)=105$

$x^2+8x-105=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$x^2+8x-105=0$

$a=1\\b=8\\c=-105$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{484}} {2}$

$x=\frac{-8(+/-)22} {2}$

$x=\frac{-8(+)22} {2}=7$

$x=\frac{-8(-)22} {2}=-15$

Remember that the solution cannot be a negative number

The solution is x=7

therefore

Marco's age is 7 years old

4 0

4 years ago

A squirrel runs across a road in 3 seconds. The road was more than 34 feet wide.

Anika [276]

Answer:

Step-by-step explanation:

3 x r <u>></u> 34

5 0

3 years ago

\large{\dfrac{2.64\times 10^{-3}}{8.0\times 10^{0}}} =\ ?

valentinak56 [21]

Answer:the answer is option a. it involves organizing events in the order in which they occurred.

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP 11 POINTS

Free_Kalibri [48]

Answer:

It should be 87.92

Step-by-step explanation:

4 0

3 years ago

Last week salazar played 13 more tennis games than perry. if they played a combined total of 53 games. How many games did salaza

d1i1m1o1n [39]

If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.

Let the total number of games played by Perry be x.

It is given that, Salazar played 13 more tennis games than Perry.

⇒ Total games played by Salazar = x + 13

Also, Salazar and Perry played a combined of 53 games.

Hence, total number of tennis games played by Salazar and Perry = 53

⇒ Games played by Salazar + Games played by Perry = 53

⇒ x + (x + 13) = 53

2x + 13 = 53

2x = 53 - 13

2x = 40

x = 40 / 2

x = 20

Therefore, total number of games played by Salazar = x+13

= 20 + 13

= 33

Thus, Salazar played total 33 games.

Learn more on total here:

brainly.com/question/14306809

#SPJ1

6 0

2 years ago