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2 years ago

Compare the quantities in Column A and Column B.

Mathematics

1 answer:

GaryK [48]2 years ago

6 0

The y-intercept of $2y = 3x - 4$ and the y-intercept of $4x - 2y=4$ are equal

The equations are given as:

$2y = 3x - 4$

$4x - 2y=4$

Make y the subject in both equations

<u>First equation</u>

$2y = 3x - 4$

$y = \frac 32x - 2$

<u>Second equation</u>

$4x - 2y=4$

$y = 2x - 2$

A linear equation is represented as:

$y = mx + b$

Where b represents the y-intercept

So: By comparison,

$b_1 = 2$ --- the y-intercept of the first equation

$b_2 = 2$ --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of $2y = 3x - 4$ and the y-intercept of $4x - 2y=4$ are equal

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10. rhombus abcd has vertices at a(-2, 7), b(8, 7), c(2, -1), and d (-8, -1).

horrorfan [7]

Answer: 80

Step-by-step explanation:

We can use the formula $A=\frac{d_{1}d_{2}}{2}$ , where $d_{1}, d_{2}$ are the lengths of the diagonals.

By the distance formula,

$AC=\sqrt{(-2-2)^{2}+(-1-7)^{2}}=\sqrt{16+64}=4\sqrt{5}\\BD=\sqrt{(-8-8)^{2}+(-1-7)^{2}}=\sqrt{256+64}=8\sqrt{5}$

So, the area is $\frac{(4\sqrt{5})(8\sqrt{5})}{2}=\boxed{80}$

6 0

2 years ago

X – 2y = 1<br> 2x + 3y = -12

lions [1.4K]

Answer:

x= -3

y= -2

From the first one, if you add 2y to both sides you can plug that into the second one and solve for y. Then, plug y to the first one and solve for x.

8 0

2 years ago

Read 2 more answers

ill in the missing numbers along the sides of the triangle so that it contains each of the numbers from through exactly once.

mihalych1998 [28]

Each side of the triangle should contain four numbers whose sum is 28.

3+5+9+11=28

3+10+8+7=28

11+6+9+7=28

The pain of numbers that can be used for A and B is [5,9] The pain of numbers that can be used for C and D is [10,8] and the pain of numbers that can be used for E and f is [6,4].

<h3>What are the 3 sides of a triangle?</h3>

The hypotenuse of a right triangle is its longest side; its "opposite" side is the one that faces the angle in question; and its "adjacent" side is the one that faces it. We use special terminology to define the sides of right triangles.

We use special terminology to define the sides of right triangles.

The side opposite the right angle is always the hypotenuse of a right triangle. It is the longest side in a right triangle.

The opposing and neighboring sides are the other two sides. The labels on these sides relate to an angle.

One side is across from another at a particular angle.

To learn more about sides of a triangle visit:

brainly.com/question/9449776

#SPJ4

5 0

1 year ago

Oscar has received a $4,000 gift and is looking for a bank to start a savings account. Which option would be the best for him at

Brut [27]

Here is the complete question

A nominal interest rate of 5%

A real interest rate of 5%

A real interest rate of 3%

A nominal interest rate of 3%

Answer:

A real interest rate of 5%

Step-by-step explanation:

A real interest rate of 5% is the best option for oscar. The nominal rate of interest is a type of interest rate that shows the increase in in percentage of money without the depreciation discount that is usually caused by inflation or the payment of tax.

The real rate of interest shows the real increase in the money that has been paid for an investment. This is after inflation has been discounted and all forms of taxes have been paid.

So oscar should invest his $4000 on a savings account whose real interest rate is 5% per year

6 0

3 years ago

I need help on this quick check

Dovator [93]

Answer:

20% more

Step-by-step explanation:

30%-10% = 20%

5 0

2 years ago