X+1½= 3 ⅓<br>What is x?

Three vertices of parallelogram JKLM are J(1, 4), K(5, 3), and L(6,−3). Find the coordinates of vertex M.

Andrej [43]

Answer:

coordinates of vertex M is (x, y) = (2, -2)

Step-by-step explanation:

Since JKLM is a parallelogram, this implies that JK parallel to LM and KL parallel to JM. This means that

Slope of JK = slope of LM

$\frac{3-4}{5-1} =\frac{-3-y}{6-x} \\y=-\frac{1}{4}x-\frac{3}{2} ....(i)$

And

Slope of KL = slope of JM

$\frac{3-\left(-3\right)}{5-6}=\frac{4-y}{1-x}\\y=10-6x...(ii)$

From equation (i) and (ii) we get

$-\frac{1}{4}x-\frac{3}{2} =10-6x$

$-\frac{23x}{4}=-\frac{23}{2}$

$-23x=-46$

$x=2$

Put the value of x in equation (ii) we get

$y=10-6(2)\\y=-2$

So, the coordinates of vertex M is (x, y) = (2, -2).

5 0

3 years ago

Calculate the quotient below and give your answer in scientific notation.<br> 2.64*10^-3\8.0*10^0

Zolol [24]

Answer:

The quotient of: $\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}$ is: $\mathbf{3.3\times 10^{-4}}$

Step-by-step explanation:

We need to find quotient of: $\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}$

We know that $10^0=1$

Now solving:

$\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}\\=\frac{2.64\cdot 10^{-3}}{8.0}\\=\frac{0.00264}{8}\\=0.00033$

Writing it in scientific notation

$0.00033\\=3.3\times10^{-4}$

So, the quotient of: $\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}$ is: $\mathbf{3.3\times 10^{-4}}$

3 0

3 years ago

I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER THIS!!!! <br> PLEASE ITS FOR A TEST!!!

ser-zykov [4K]

Answer:

B

Step-by-step explanation:

Factoring a binomial

6 0

3 years ago

You buy a cylindrical container of salt with a diameter of 3.25 inches and a height of 5 inches. Your salt shaker is a cylinder

Sphinxa [80]

First calculate volume of the cylindrical container: Pi * R2 * H; where Pi is 22/7 or 3.147, R is the radius and H is the height of the container.

Vol of the cylindrical container: 3.147 * (3.25/2) * (3.25/2)* 5 = 41.55 inch 3

Volume of the shaker using the above principle:
3.147 * (1/2) * (1/2) * 1.5 = 1.18 inch 3

Number of times it can fill the salt shaker will be the ratio of the volumes:

= Volume of the cylindrical container divided by the volume of the shaker = 41.55 divided by 1.18

Answer is 35 times if rounded in absolute number.

3 0

3 years ago

Apples: $(2x) per pound

Ludmilka [50]

Answer:

Shopper spend $3 on Apples, $4 on Grapes and $3.5 on Oranges

Step-by-step explanation:

Cost of one pound of Apple = $2x

Cost of one pound of Grapes = $(6x-5)

Cost of one pound of Oranges = $(x+2)

A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.

It can be written as: $2x+6x-5+x+2=10.50$

We need to find how much the shopper spend on each fruit.

First we need to find value of x by solving equation

$2x+6x-5+x+2=10.50$

Solving:

$2x+6x+x+2-5=10.50\\9x-3=10.50\\9x=10.50+3\\9x=13.5\\x=\frac{13.5}{9}\\x=1.5$

The value of x is: x=1.5

Now finding cost of one pound each fruit by putting x=1.5

Cost of one pound of Apple = $2x = 2(1.5) = $3

Cost of one pound of Grapes = $(6x-5) = (6(1.5)-5)= $4

Cost of one pound of Oranges = $(x+2)=(1.5+2)=$3.5

So,

Cost of one pound of Apple = $3

Cost of one pound of Grapes = $4

Cost of one pound of Oranges = $3.5

So, shopper spend $3 on apples, $4 on Grapes and $3.5 on Oranges

3 0

2 years ago

X+1½= 3 ⅓What is x?​

X+1½= 3 ⅓What is x?