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3 years ago

Simplify. 28x^2/7x^6

Mathematics

1 answer:

gladu [14]3 years ago

3 0

Answer:

4x^8

Step-by-step explanation:

hope this helps

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Solve F=D+Drt for t.....

Anuta_ua [19.1K]

Answer:

$t = \frac{-D+F}{Dr}$

Step-by-step explanation:

Step 1: Flip the equation.

$Drt + D = F$

Step 2: Subtract D from both sides.

$Drt + D - D = F - D$
$Drt = -D + F$

Step 3: Divide both sides by Dr.

$\frac{Drt}{Dr} = \frac{-D+F}{Dr}$
$t = \frac{-D+F}{Dr}$

6 0

2 years ago

Help, adding extra text so that I can post this question

GREYUIT [131]

The answer 0.1, 0.136, 0.652, 0.87

8 0

3 years ago

Read 2 more answers

If h(x) is the inverse of f(x). what is the value of h(f(x))?

attashe74 [19]

Option C is correct

The value of h(f(x)) is, x

Inverse function:

An inverse function that undergoes the other function.

For example: if f(x) is the inverse of g(x) then;

for every x.

As per the statement:

If h(x) is the inverse of f(x).

by definition of inverse:

Therefore, the value of h(f(x)) is, x

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to Left-bracket log 9 + one-half log x + log (x cubed + 4) Right-bracket minus log 6? log StartFr

dybincka [34]

Answer:

$\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}$

Step-by-step explanation:

$\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}$

The applicable rules of logarithms are ...

log(ab) = log(a) +log(b)

log(a/b) = log(a) -log(b)

log(a^b) = b·log(a)

3 0

3 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

Simplify. 28x^2/7x^6​

Simplify. 28x^2/7x^6