MATHEMATICS HIGH SCHOOL

Find the slope of the line passing through the points (5, 4) and (5, -5)

Answers

Answer 1

Answer:

Answer:

NO Slope

Step-by-step explanation:

slope of the line passing through the points (5, 4) and (5, -5)

slope = y2 - y1 = -5 - 4 = -9

x2 - x1 5 - 5 0

see attached.

in this graph of a line x = 5, no matter what the value of y is.

the horizontal change is 0 and the vertical change is any y value

therefore, there is NO Slope

Related Questions

Which of the following represents "The product of the abscissa and ordinate is ten"?a)xy = 10
b)10x = y
c)10y = x

Answers

Hello,
if x represents the abscissa
and y the ordinate then
the product is x*y
Answer A

Which statement about 4x2 + 19x – 5 is true? One of the factors is (x – 4). One of the factors is (4x + 1). One of the factors is (4x – 5). One of the factors is (x + 5).

Answers

Answer:

Only "One of the factors is (x + 5)." is TRUE.

Step-by-step explanation:

What makes $(x-4)$ equal to 0?

$x-4=0\nx=4$

What makes $(4x+1)$ equal to 0?

$4x+1=0\n4x=-1\nx=-(1)/(4)$

What makes $(4x-5)$ equal to 0?

$4x-5=0\n4x=5\nx=(5)/(4)$

What makes $(x+5)$ equal to 0?

$x+5=0\nx=-5$

Note: Putting all those 4 values into the function $4x^(2)+19x-5$ , whichever value makes the function equal to 0, the corresponding expression would be considered a factor of the function $4x^2+19x-5$ .

Putting $x=4$ into $4x^(2)+19x-5$ gives us:

$4(4)^(2)+19(4)-5\n=135$

Putting $x=-(1)/(4)$ into $4x^(2)+19x-5$ gives us:

$4(-(1)/(4))^(2)+19(-(1)/(4))-5\n=-(19)/(2)$

Putting $x=(5)/(4)$ into $4x^(2)+19x-5$ gives us:

$4((5)/(4))^(2)+19((5)/(4))-5\n=25$

Putting $x=-5$ into $4x^(2)+19x-5$ gives us:

$4(-5)^(2)+19(-5)-5\n=0$

As we can see, only putting $x=-5$ in the function gives us a value of 0. So the corresponding expression $(x+5)$ is a factor of the function.

$4 x^(2) + 19x - 5 \n \n 4 x^(2) + 20x - x - 5 \n \n 4x(x + 5)-(x + 5) \n \n (x + 5)(4x - 1)$

The answer is D) one of the factors of (x + 5). Why?

(x - 4) is not one of the factors.
(4x + 1) is not one of the factors.
(4x - 5) is not one of the factors.
(x + 5) IS one of the factors.

HELP MATHS perpendicular lines

Answers

Answer:

y = $(1)/(3)$ x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the equation of line L₁

y = - 3x + 8 ← in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

$m_(perpendicular)$ = - $(1)/(m)$ = - ( $(1)/(-3)$ ) = $(1)/(3)$ , then

y = $(1)/(3)$ x + c ← is the partial equation of line L₂

to find c , substitute the point P(3, 5 ) into the partial equation

5 = $(1)/(3)$ (3) + c = 1 + c ( subtract 1 from both sides )

4 = c

y = $(1)/(3)$ x + 4 ← equation of line L₂

Solve the following equations.
1 − log8(x − 3) = log8(2x)

Answers

Answer:

The answer to your question is: 4

Step-by-step explanation:

Data

1 − log₈(x − 3) = log₈(2x)

1 = log₈(x − 3) + log₈(2x)

1 = log₈ 2x(x - 3)

8¹ = 2x(x - 3)

8 = 2x² - 6x

2x² - 6x - 8 = 0

Factorize 2x² - 8x + 2x - 8 = 0

2x(x - 4) + 2(x - 4) = 0

(x - 4) (2x + 2)

x1 = 4 x2 = -2/2 = -1

x2 = -1 is not and answer because there are not negative logs.

The orthocenter of an obtuse triangle always lies __________.A.on a vertex of the triangle
B.on the inside of the triangle
C.on the outside of the triangle
D.on the triangle

Answers

the correct answer is D

The inequality −6(x − 3) > 42 is given.Part A: Solve the inequality and show every step of your work. (4 points)

Part B: Explain in words how to graph the solution to the inequality on a number line. (4 points)

Part C: Find two values that would make the inequality true. Explain how you know the values are solutions to the inequality. (4 points)

Answers

Answer: Sure, I can help you with that!

Part A: To solve the inequality −6(x − 3) > 42, we first need to distribute the -6 to the expression inside the parentheses:

-6(x - 3) > 42 -6x + 18 > 42

Next, we’ll subtract 18 from both sides:

-6x > 24

Finally, we’ll divide both sides by -6. Since we’re dividing by a negative number, we need to flip the inequality sign:

x < -4

Therefore, the solution to the inequality is x < -4.

Part B: To graph the solution to this inequality on a number line, we’ll start by drawing an open circle at -4 (since x is not equal to -4). Then, we’ll draw an arrow pointing to the left of -4 to indicate that all values less than -4 are solutions to the inequality.

Part C: To find two values that would make the inequality true, we can choose any two values less than -4 and substitute them into the original inequality. For example, if we choose x = -5, then:

-6(-5 - 3) > 42 -6(-8) > 42 48 > 42

Since 48 is greater than 42, this confirms that x = -5 is a solution to the inequality. Similarly, if we choose x = -10, then:

-6(-10 - 3) > 42 -6(-13) > 42 78 > 42

Since 78 is also greater than 42, this confirms that x = -10 is also a solution to the inequality.

I hope this helps!

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