All categories

3 years ago

1. Rewrite the expression. Use an exponent, rather than repeated multiplication. (–4)(–4)

1 answer:

7 0

You can rewrite the multiplication using properties of the exponents.
We have that if the base is the same, the exponents are added.
For this case, we have:
Base = (- 4)
Exponent = 1
Applying properties of exponents:
(-4) (- 4) = ((- 4) ^ 1) ((- 4) ^ 1) = (- 4) ^ (1 + 1) = (- 4) ^ 2
answer:
the expression is the same as (-4) ^ 2

You might be interested in

What is the equation of the line that passes through (6, 1) and is perpendicular to the line y 3x+2? CI) At what angle do the li

Andrews [41]

Answer with explanation:

The equation of any line with slope 'm' and passing through any point $(x_1,y_1)$ is given by

$y=mx+(y_1-mx_1)$

As we know that the general equation of a line with slope 'm' is $y=mx+c$

Comparing with the given equation $y=3x+2$ we can conclude slope of the given line is $m_1=3$

Now we know that the product of slopes of perpendicular lines is -1

Mathematically we can write for perpendicular lines

$m_1\times m_2=-1$

Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular

$3\times m_{2}=-1\\\\\therefore m_{2}=\frac{-1}{3}$

Hence using the given and the obtained values the equation of the required line is

$y=-\frac{1}{3}x+(1-\frac{-1}{3}\times 6)}\\\\y=\frac{-x}{3}+3$

Part b)

The angle of intersection between 2 lines with slopes $m_{1},m_2$ is given by

$\theta =tan^{-1}(\frac{m_2-m_1}{1+m_1m_2})$

Comparing the equations of given lines

$y=6x+3\\\\y=2x+3$

with the standard equation we get

$m_{1}=6\\\\m_{2}=2$

Thus the angle of intersection becomes

$\theta =tan^{-1}(\frac{2-6}{1+2\times6})=17.10$

8 0

3 years ago

Which equation is the inverse of y = x2 + 16? 0 y=x²-16 y=i -16 y=+-16 y = x2 - 4

denpristay [2]

Answer:

y = ±√(x-16)

Step-by-step explanation:

To find the inverse of an equation, swap the x- and y-variables:

y = x² + 16

x = y² + 16

Then, solve for the y-variable:

x = y² + 16

y² = x - 16

y = ±√(x-16)

8 0

3 years ago

Evaluate ((6+2) ÷ (10-8) +10) ∙ 5

miskamm [114]

You can do that on photo math

5 0

3 years ago

3x²+2x²+x-2 divided x+2

ICE Princess25 [194]

Answer:

3x^2-4x+9 remainder -20/x+2

Step-by-step explanation:

7 0

3 years ago

If the angle ZYX measures 45 degrees ,then arc XY measures 45 degrees. TRUE OR FALSE ?!

Angelina_Jolie [31]

The picture in the attached figure

the correct question is
If the angle ZYX measures 45 degrees, then arc XZ measures 45 degrees. TRUE OR FALSE ?!

we know that
if angle ZYX measures 45 degrees
then
arc XZ=angle ZYX---------> by central angle

therefore
arc XZ=45°

the answer is
TRUE

6 0

3 years ago