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3 years ago

If a line crosses the y-axis at (0, 1) and has a slope of 45, what is the equation of the line?

2 answers:

6 0

The general equation of a line is expressed as:

y = mx + b

where m is the slope and b is the y-intercept.

We are given the slope of the line and its y-intercept (m = 4/5, b = 1).

y = (4/5)x + 1

5(y - (4/5)x = 1)

5y - 4x = 5

The answer should be option D.

Contact [7]3 years ago

4 0

Equation is y - 1 = 4/5(x - 0) => 5(y - 1) = 4x => 5y - 5 = 4x => 5y - 4x = 5

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Which number has more than two factors? A. 19 B. 23 C. 25 D. 29

Whitepunk [10]

The answer would be 25 because all of the others are prime numbers, meaning they can only be divided by themselves and 1. So it would be C.

4 0

3 years ago

3(y+6)=30 solve equation

stiv31 [10]

Answer:

3(y+6)=30

3y + 18 = 30

18 - 30 = 3y

12 = 3y

12/3 = y

4 = y

y = 4

3 0

3 years ago

Read 2 more answers

A total of 26 bills are in a cash box. Some of the bills are one-dollar bills, and the rest are five-dollar bills. The total amo

kobusy [5.1K]

Answer:

Number of 1 $ bill = 20

Number of 5 $ bill = 6

Explanation:

Let p represent number of one dollar bolls and q represent number of five bills.

A total of 26 bills are in a cash box.

p + q = 26 ------------------------- Equation 1

The total amount of cash in the box is $50

p + 5q = 50 ------------------------- Equation 2

Equation 2 - Equation 1,

p + 5q - p -q = 50 - 26

4q = 24

q = 6

Substituting in equation 1.

p + 6 = 26

p = 20

Number of 1 $ bill = 20

Number of 5 $ bill = 6

3 0

3 years ago

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an

shutvik [7]

Answer:

$\underline{x\in\left\{-6\,,\ 1\right\}}$

Step-by-step explanation:

$x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1$

3 0

3 years ago

What is the quotient of the complex number 4-3i divided by its conjugate?

bazaltina [42]

9514 1404 393

Answer:

0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

$\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}$

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Additional comment

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

3 0

2 years ago