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Mandarinka [93]

3 years ago

9

Write the expression for the sequence of operations described below. Double q, multiply the result by p, then add what you have

to r. Do not simplify any part of the expression.

1 answer:

sweet-ann [11.9K]3 years ago

7 0

Answer:

2qp+r

Step-by-step explanation:

Double q (2q)

Multiply that by p (2qp)

Add that to r (2qp+r)

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Find the distance between each pair of points.<br> 3) (6, -2), (8, -3)<br> 4) (7,-8), (-8, 2)

castortr0y [4]

Answer:

3) $\sqrt{5}$

4) $5\sqrt{13}$

Step-by-step explanation:

distance between two points:

$d = \sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}}$

we have:

3) (6, -2), (8, -3)

$x_{1} = 6$

$y_{1} =-2$

$x_{2} = 8$

$y_{2} =-3$

so we have:

$d =\sqrt{(8-6)^{2}+ (-3-(-2))^{2}}\\\\d =\sqrt{(2)^{2}+ (-1)^{2}}\\\\d = \sqrt{4+ 1}\\\\d=\sqrt{5}$

4) (7,-8), (-8, 2)

$x_{1} = 7$

$y_{1} =-8$

$x_{2} =-8$

$y_{2} =2$

$d =\sqrt{(-8-7)^{2}+ (2-(-8))^{2}}\\\\d =\sqrt{(-15)^{2}+ (10)^{2}}\\\\d = \sqrt{225+ 100}\\\\d=\sqrt{325}\\\\d=5\sqrt{13}$

3 0

3 years ago

Can you work out the volume of a cube with a length of 10cm

PolarNik [594]

Answer

v = 1000 cubic cm

Step-by-step explanation:

The formula for Volume of Cube is V = $s^{3}$

in this case the sides are 10 cm so we plug in the numbers

v = $10^{3}$

v = 1000 cubic cm

5 0

3 years ago

Read 2 more answers

Which rules of exponents will be used to evaluate the expression. Check all that apply

julia-pushkina [17]

Hello!

The answer are:

- Product of powers.

- Power of a power.

- Negative exponents.

<h2>Why?</h2>

Let's solve it!

It's a math rule that we must solve first what's into a brake or parenthesis, so,

First: Product of powers $[(7)^{5}*(7)^{3}]$

According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base

Exponents: 5 and 3

Base: 7

Applying it we have:

$(7)^{5+3}$

$(7)^{8}$

Then,

We have a power of a power case, which involves multiplying the exponents:

$[(7)^{5}*(7)^{3}]^{-4}$

Exponents: 3 and -4

Then,

$(7)^{8*-4}$

Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,

So, we will have that:

$(7)^{-32}=\frac{1}{7^{32} }$

Have a nice day!

6 0

3 years ago

Read 2 more answers

Select all the answer choices that show a correct comparison.

MissTica

Answer:

2nd and 3rd one

Step-by-step explanation:

i think

6 0

2 years ago

James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements ar

GarryVolchara [31]

Answer:

When x=2, both expressions have a value of 18.

The expressions have equivalent values for any value of x.

The expressions have equivalent values if x=8

Step-by-step explanation:

James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply. 7 x + 4 and 3 x + 5 + 4 x minus 1

When x = 2, both expressions have a value of 18.

7x + 4

= 7(2) + 4

= 14 + 4

= 18

3x + 5 + 4x - 1

3(2) + 5 + 4(2) - 1

6 + 5 + 8 - 1

= 18

The expressions are only equivalent for x = 4 and x = 6.

• This is not true because the expression is also equivalent for x = 2

The expressions are only equivalent when evaluated with even values.

When x = 1

7x + 4

7(1) + 4

= 7 + 4

= 11

3x + 5 + 4x - 1

3(1) + 5 + 4(1) - 1

3 + 5 + 4 - 1

= 11

The expressions have equivalent values for any value of x.

Yes, it has an equivalent value at any value of x

The expressions should have been evaluated with one odd value and one even value.

When x = 0, the first expression has a value of 4 and the second expression has a value of 5.

7x + 4

7(0) + 4

= 0 + 4

= 4

3x + 5 + 4x - 1

3(0) + 5 + 4(0) - 1

0 + 5 + 0 -1

= 4

The expressions have equivalent values if x = 8.

7x + 4

7(8) + 4

56 + 4

= 60

3x + 5 + 4x - 1

3(8) + 5 + 4(8) - 1

24 + 5 + 32 - 1

= 60

6 0

3 years ago

Read 2 more answers