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3 years ago

Re-write the equation 3x - y = 4 in slope-intercept form.

Mathematics

1 answer:

Verdich [7]3 years ago

5 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Rearrange 3x - y = 4 into this form ( add y to both sides )

3x = y + 4 ( subtract 4 from both sides )

3x - 4 = y OR y = 3x - 4 → a

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Nicole is running for school president. Her best friend designed a campaign poster, which measured 3 feet by 2 feet. Nicole like

melamori03 [73]

Answer:

The scale factor is 18 to 1 for the painting

Step-by-step explanation:

Here we want to get the scale factor of the original to what is reproduced

Let us have same units first

Mathematically;

1 foot = 12 inches

3 feet = 36 inches

2 feet = 24 inches

So 36 to 2 and 24 to 1 1/3

That will be ratio 36/2 = 18 to 1

same as 25 divided by 1 1/3 = 18 to 1

8 0

3 years ago

if £500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years

Hoochie [10]

Answer:

£562.43

Step-by-step explanation:

£500 is invested for 3 years at a rate of compound interest of 4% per annum how much will be in the account after three years

Given data

P= £500

t= 3 years

r= 4%

The expression for the compound interest is given as

A= P(1+r)^t

substitute

A= 500(1+0.04)^3

A= 500(1.04)^3

A= 500*1.124864

A= 562.432

Hence the final amount is £562.43

4 0

2 years ago

A seventh-grade student forgets to bring his lunch money on several occasions. Each time he forgets his lunch money, he has to c

Georgia [21]

Answer:

-12.6

Step-by-step explanation:

6 0

3 years ago

Which of the following are solutions to the question below? Check all that apply.

AveGali [126]

Answer:

Step-by-step explanation:

Given

6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )

x² - 12x + 36 = 0 ← in standard form

(x - 6)² = 0 ← in factored form, thus

x - 6 = 0 ⇒ x = 6 → D

7 0

3 years ago

What is the strongest classification of the figure formed by the following points?

tatiyna

Answer:

A. Parallelogram

Step-by-step explanation:

The given points are;

(-10, -4), (-7, -8), (-5, -4), (-2, -8)

Let 'A' represent the point (-10, -4), let 'B' represent the point (-7, -8), let 'C' represent the point (-5, -4), and let 'D' represent the point (-2, -8), we have;

The (horizontal) distance between points A and C = -5 - (-10) = 5

The (horizontal) distance between points B and D = -2 - (-7) = 5

Therefore;

The length of $\overline {AC}$ = The length of $\overline {BD}$

The length of $\overline {AB}$ = √((-10 - (-7))² + (-4 - (-8))²)) = 5

The length of $\overline {CD}$ = √((-5 - (-2))² + (-4 - (-8))²)) = 5

∴ The length of $\overline {AB}$ = The length of $\overline {CD}$

$\overline {AC}$ is parallel to the horizontal axis

$\overline {BD}$ is parallel to the horizontal axis

∴ $\overline {AC}$ ║ $\overline {BD}$

Given that $\overline {AB}$ = $\overline {CD}$ , then $\overline {AB}$ ║ $\overline {CD}$

Therefore, the quadrilateral ABCD is a parallelogram

(The angle ∠ABD = 180 - arctan (4/3) ≈ 126.9 > 90, therefore, the parallelogram ABCD is not a rectangle.)

6 0

3 years ago