MATHEMATICS HIGH SCHOOL

A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line?a. The rise is –5, the run is 4.
b. The rise is –4, the run is –5.
c. The run is –5, the rise is 4.
d. The run is 4, the rise is 5.

Answers

Answer 1

Answer:

Answer: a. The rise is –5, the run is 4.

Step-by-step explanation:

Given :- A line in the Cartesian plane passes through the points (–2, 4) and (2, –1)

Let $(x_1,y_1)=(-2,4)$ and $(x_2,y_2)=(2,-1)$

We know that rise of a line = vertical change of points=change in the coordinates of y

= $y_2-y_1=-1-4=-5$

Run of line=horizontal change of points=change in the coordinates of x

= $x_2-x_1=2-(-2)=2+2=4$

Therefore, The rise is –5, the run is 4.

Answer 2

Answer: Hello,

C is the good answer.

Δy=-1-4=-5 is the rise

Δx=2+2=4 is the run.

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Three times a number (n) is 36 less than five times the number (n). What is the number?

Answers

i am doing it on edg 2020 now

Final answer:

The number in question is found using simple algebra to setup and solve the equation given in the problem. The solution is n = 18.

Explanation:

The question is about finding a number (n), such that three times the number (n) is 36 less than five times the number (n). This can be solved using simple algebra.

Firstly, we setup the algebraic equation according to the problem:
3n = 5n - 36

To solve the equation, you subtract 3n from both sides to bring all n on one side:
5n - 3n = 36
Which simplifies to:
2n = 36

Now you solve for n by dividing both sides by 2:
n = 36 / 2
The result is n = 18. So, the number in question is 18.

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What is the slope of the line that contains the points (8, 3) and (8, 7)?a. 4
b. -1/4
c. 0
d. The slope is undefined.

Answers

The slope can be obtained by (y2 - y1) / (x2 - x1). In this example, using the two points, we have
(7 - 3) / (8 - 8 ) = 4 / 0.
Division by 0 is undefined.
So, the answer is (d) The slope is undefined.

Which equation illustrates the identity property of multiplication?a.(a + bi) × c = (ac + bci)
b.(a + bi) × 0 = 0
c.(a + bi) × (c + di) = (c + di) × (a + bi)
d.(a + bi) × 1 = (a + bi)

Answers

For this case by definition we have:
The identity property of multiplication states that the product of 1 and any number is that given number.
We have then, for example:
$(a * 1) = a$
Where,
a: real number
Applying the definition, we have that the expression that models the identity property is given by:
$(a + bi) * 1 = (a + bi)$
Where,
a: real part
bi: imaginary part Answer:
d.(a + bi) × 1 = (a + bi)

Equation shows identity property of multiplication is (a + bi) × 1 = (a + bi)

The correct option is (d)

What is Identity property of multiplication?

The identity property of multiplication says that the product of 1 and any number is that number.

We know, Identity property of multiplication states that

"the product of 1 and any number is that given number".

We know that every complex number have two parts one is real and other is imaginary.

If a is real number and b is imaginary part then by definition

(a + bi) × 1 = (a + bi).

1. Uses Distributive Property of Multiplication.

2. Zero product property.

3. Commutative property of multiplication

4. Identity property of multiplication.

Hence, equation shows identity property of multiplication is (a + bi) × 1 = (a + bi)

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A new backpack at the local store is originally priced $160. It is on sale for 35% off. What is the new sale price?

Answers

Answer:

$104

Step-by-step explanation:

10% = 160 ÷ 10 = $16

5% = $16 ÷ 2 = $8

30 % = 16 x 3 = $48

48 + 8 = $56

$160 - $56 = $104

Hope this helps!

Answer and maybe an explanation.Thanks in advance.

Answers

inverses

solve for x
replace x with f inverse
replace y with x

so
first minus 2 both sides
y-2=√(2x-3)
square both sides
y^2-4y+4=2x-3
add 3 to both sides
y^2-4y+7=2x
divide both sides y 2
(y^2-4y+7)/2=x

x turns to f inverse and y turns to x

f(x)⁻¹= $(x^(2)-4x+7)/(2)$

looks like they didn't want to expand the binomial

y= $\frac{(x-2)^(2)}+3}{2}$
answer si A

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