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3 years ago

P = 3. Q = -2. Solve 4PQ

Mathematics

2 answers:

SashulF [63]3 years ago

7 0

Answer:

-24

Step-by-step explanation:

4(3)(-2) = -24

gtnhenbr [62]3 years ago

6 0

4(3)(-2)
=12(-2)
=-24

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Divide 24xy²z³ by 6yz²

liberstina [14]

Answer: 4xyz

Step-by-step explanation:

24xy²z³ / 6yz² =4xy²⁻¹z³⁻² = 4xyz

3 0

3 years ago

Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin

Brut [27]

Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

$scale\ factor=4$

Since:

$4>1$

It is an Enlargement.

You can identify that the vertices of the pre-image shown in the figure, are:

$(-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)$

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

$((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)$

Now you can draw it (The image is attached).

8 0

3 years ago

An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. the rod is 13 inches long,

Gre4nikov [31]

The length of the longest slide is 5 inches. he other two sides will be 4 inches in length.

<h3>Length of the longest slide</h3>

Isosceles triangle

Given:

Total length=13 inches

Hence:

AC=BC<AB

Let AC=BC=x-1 inches

AB=x inches

Thus:

x-1+(x-1)+x=13

3x-2=13

3x=13+2

3x=15

divide both side by 3x

x=15/3

x=5 inches

Hence:

Other two side

x-1=5-1=4 inches

Therefore the length of the longest slide is 5 inches. he other two sides will be 4 inches in length.

Learn more about Length of the longest slide here:brainly.com/question/7807143

#SPJ1

8 0

2 years ago

The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equ

Fittoniya [83]

Answer:

$(a)\ -16t^2 + 7t + 63=0$

$(b)\ t = 2.215$

Step-by-step explanation:

Given

$h(t) = -16t^2 + 7t + 63$

Solving (a): Equation when it hits the ground.

This means that $h(t) = 0$

So, we have:

$h(t) = -16t^2 + 7t + 63$

$-16t^2 + 7t + 63=0$

Solving (b): The value of t in (a)

$-16t^2 + 7t + 63=0$

Using quadratic formula, we have:

$t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

This gives:

$t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}$

$t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}$

$t = \frac{-7 \± \sqrt{4081}}{-32}$

$t = \frac{-7 \± 63.88}{-32}$

Split

$t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}$

$t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}$

$t = -1.7775; or\ t = 2.215$

Time can't be negative; So:

$t = 2.215$

7 0

2 years ago

What is the domain of the function?<br> x + 3<br> f(x) =<br> VX + 3

ahrayia [7]

Your question is a little ambiguous, but I am assuming that you meant to say the function $f(x) = x+3$

Thus, I am solving your question based on assuming the function such as

$f(x)=x+3$

But, it would still clear your concept, no matter what the function is.

Answer:

we conclude that

$\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The graph is also attached.

Step-by-step explanation:

Given the function

$f(x)=x+3$

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

As the function has no undefined points nor domain constraints.

Thus, the domain is

$-\infty \:$

Therefore, we conclude that

$\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The graph is also attached.

3 0

2 years ago