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3 years ago

Solve for x. y = x + 6

Mathematics

2 answers:

kolbaska11 [484]3 years ago

8 0

Answer:

Step-by-step explanation:

y = x + 6 → x + 6 = y <em>subtract 6 from both sides</em>

x + 6 - 6 = y - 6

x = y - 6

Degger [83]3 years ago

3 0

To get x by itself you must subtract 6 from both sides, so the answer would be c. X = y-6

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Find the Slope of a line that travels through (3, 7) and (6, 19)

TiliK225 [7]

Answer:

1/4

Step-by-step explanation:

6-3/19-7 =3/12 =1/4

4 0

3 years ago

The regular price of a baseball hat is $14.45. If Carlos buys the baseball hat on sale for 20% off the regular price, how much c

Tanya [424]

Answer:

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7 0

3 years ago

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

2 years ago

What is the volume of a rectangle prism that has a length of 2cm width of 3cm and a height of 5cm

nexus9112 [7]

Answer:

Step-by-step explanation:

V=lwh

V=2*3*5

V=6*5

V=30

4 0

3 years ago

Read 2 more answers

Please help me with this

Gnoma [55]

Given:

The equation is:

$3^x\times 9=3^{2n-1}$

To find:

The value of n in terms of x.

Solution:

We have,

$3^x\times 9=3^{2n-1}$

It can be written as

$3^x\times 3^2=3^{2n-1}$

$3^{x+2}=3^{2n-1}$ $[\because a^ma^n=a^{m+n}]$

On comparing the exponents, we get

$x+2=2n-1$

Add 1 on both sides.

$x+2+1=2n-1+1$

$x+3=2n$

Divide both sides by 2.

$\dfrac{x+3}{2}=n$

Therefore, the value of n is terms of x is $n=\dfrac{x+3}{2}$ .

7 0

3 years ago