All categories

3 years ago

Explain the difference between the graph of y=3(x+2)(x-5) and the graph of y=3(x-2)(x+5)

Mathematics

1 answer:

inna [77]3 years ago

4 0

Answer:

A square pyramid has sides of 8 m. Each face is an equilateral triangle.

What is the lateral area of the pyramid?

128 m2

32 m2

64 m2

Step-by-step explanation:

You might be interested in

When it is 9:00, the hour hand on an analog clock is 270$^\circ$ ahead of the minute hand. how many minutes elapse (to three sig

AnnZ [28]

Ninety minutes. 12:00

3 0

3 years ago

Find the third side in simplest radical form:<br> 25

Gre4nikov [31]

Answer:

<h3> $\boxed{ \bold{24}}$ </h3>

Step-by-step explanation:

$\mathsf{given}$

$\mathsf{hypotenuse(h) = 25}$

$\sf{perpendicular (p) = 7}$

$\sf{base(b) = }$ ?

Now, Using Pythagoras theorem

$\sf{{h}^{2} = {p}^{2} + {b}^{2} }$

plug the values

⇒ $\sf{ {25}^{2} = {7}^{2} + {b}^{2} }$

Evaluate the power

⇒ $\sf{625 = 49 + {b}^{2} }$

Swap the sides of the equation

⇒ $\sf{49 + {b}^{2} = 625}$

Move constant to right hand side and change it's sign

⇒ $\sf{ {b}^{2} = 625 - 49}$

Calculate the difference

⇒ $\sf{ {b}^{2} = 576}$

Squaring on both sides

⇒ $\sf{b = 24}$

Hope I helped!

Best regards!

8 0

3 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

Read 2 more answers

A jar has 3 red marbles and 9 blue ones. If you randomly pick a marble without replacing it and then select another, what is the

GaryK [48]

The probability of picking two blue would be 2/9 because you would use the 2 out of the 9

5 0

3 years ago

Read 2 more answers

#4 NEAD HELP SOLVE THIS QUESTION ASAP

sergiy2304 [10]

C. 118.2

1 and 2 make a complimentary angle, so 2=118.2

2 and 6 are corresponding, so angle 2=angle 6 (118.2 = 118.2)

4 0

3 years ago