What is the equation of a line passing through the point (a, b) and having a slope of b?

Answers

Answer 1
Answer:

Answer: \ y=b(x-a+1)

Step-by-step explanation:

The equation of a line passing from points (p,q) and has slope m is given by :-

(y-q)=m(x-p)

Given : Slope of line {m} = b

Point through which line is passing : (p,q) =(a,b)

The equation of a line passing from points (a,b) and has slope m is given by :-

(y-b)=b(x-a)\n\n\Rightarrow\ y-b=bx-ba\n\n\Rightarrow\ y=bx-ba+b\n\n\Rightarrow\ y=b(x-a+1)

Answer 2
Answer: Hello,

y-b=b(x-a)
==>y=bx-ab+b


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Which is a zero of the function f(x) = 2x - 10?

Answers

f(x)=2x-10\n\na\ zero\ if\ 2x-10=0\n\n2x=10\ \ \ /:2\n\nx=5\n\nAnswer:The\ zero\ is\ x=5.
Watch carefully:

A 'zero' of the function is a value of 'x' that makes the function zero.

2x - 10 = 0

Add 10 to each side:

2x = 10

Divide each side by 2 :

x = 5

f(5) = 0

Z=1+4iFind the angle 0(theta) in degrees that z makes in the complex plane.
Round your answer, if necessary, to the nearest tenth. Express 0(theta) between -180 and 180 degrees.

Answers

Answer:

76.0 degrees

Step-by-step explanation:

Just got it right on the Khan Academy quiz.

Final answer:

The angle θ that z makes in the complex plane is approximately 75.96°.

Explanation:

The complex plane is a mathematical concept used in complex numbers. It's a two-dimensional Cartesian coordinate system where the horizontal axis represents the real part of a complex number, and the vertical axis represents the imaginary part. Complex numbers are plotted as points in this plane, facilitating operations like addition, subtraction, multiplication, and division of complex numbers.

To find the angle θ that z makes in the complex plane, we can use the formula: θ = arctan(y/x), where x and y are the real and imaginary parts of z respectively. In this case, x = 1 and y = 4 as given. Plugging these values into the formula, we get: θ = arctan(4/1). Using a calculator, we find that θ ≈ 75.96°.

Learn more about Complex Plane here:

brainly.com/question/33093682

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What is the quotient (x^3 – 3x^2 + 5x – 3) ÷ (x – 1)?A. x^2 – 2x – 3
B. x^2 + 2x + 7
C. x^2 – 3x + 8
D. x^2 – 2x + 3

Answers

Answer is option D. Please see the pic for long division.

Find an equivalent function to f(x) = 5(3)3x.

Answers

Question: f(x) = 5(3)^(3x)
Explanation/Steps: f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x
Answer: f(x) = 5(27)x.

Good luck~

Answer:

Step-by-step explanation:

An equivalent function to 5(3)^3x is Answer C. F(x) = 5(27)x

A set of equations is given below: Equation C: y = 7x + 12 Equation D: y = 7x + 2 Which of the following best describes the number of solutions to the given set of equations? One solution Two solutions Many solutions No solution

Answers

There is no solution. If you sub in either equation for y you get =0 meaning there is no solution :) hope this helps

Answer:

its none i got it right

Step-by-step explanation:

HELP PLS PLS ASAP!!
Which relation is a function?

Answers

Answer:

The one on the bottom right corner

Step-by-step explanation:

The vertical line test would be used to find out if it's a function or not. In 3 out of the four graphs, it crosses the vertical line twice, unlike the bottom right option.

Answer:  Choice D in the bottom right corner

Reason

If it is ever possible to pass a single vertical line through more than one point on the curve, then that curve fails the vertical line test. Furthermore, it would mean that curve isn't a function.

This happens with choices A, B, and C. In other words, the top row and the graph in the bottom left corner. Any vertical line will fail the vertical line test.

Choice D, in the bottom right corner, passes the vertical line test. It is impossible to draw a vertical line through more than one point on the curve. Any x input in the domain leads to exactly one output in the range. Therefore, choice D is a function.