All categories

3 years ago

What is the slope of the line through (–4, 3) and (5, 3)?

Mathematics

1 answer:

slamgirl [31]3 years ago

8 0

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 3) and (x₂, y₂ ) = (5, 3)

m = $\frac{3-3}{5+4}$ = $\frac{0}{9}$ = 0

You might be interested in

Find and simplify each of the following for

WINSTONCH [101]

Answer:

(A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

(B) f(x + h) - f(x) = 8xh + 4h² - 6h

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 4x² - 6x + 6

- To find f(x + h) substitute x in the function by (x + h)

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) = 4(x + h)² - 6(x + h) + 6

- Lets simplify 4(x + h)²

∵ (x + h)² = (x)(x) + 2(x)(h) + (h)(h) = x² + 2xh + h²

∴ 4(x + h)² = 4(x² + 2xh + h²) = 4x² + 8xh + 4h²

- Lets simplify 6(x + h)

∵ 6(x + h) = 6(x) + 6(h)

∴ 6(x + h) = 6x + 6h

∴ f(x + h) = 4x² + 8xh + 4h² - (6x + 6h) + 6

- Remember (-)(+) = (-)

∴ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

* (A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

- Lets find f(x + h) - f(x)

∵ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - (4x² - 6x + 6)

- Remember (-)(-) = (+)

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - 4x² + 6x - 6

- Simplify by adding the like terms

∴ f(x + h) - f(x) = (4x² - 4x²) + 8xh + 4h² + (- 6x + 6x) - 6h + (6 - 6)

∴ f(x + h) - f(x) = 8xh + 4h² - 6h

* (B) f(x + h) - f(x) = 8xh + 4h² - 6h

- Lets find $\frac{f(x+h)-f(x)}{h}$

∵ f(x + h) - f(x) = 8xh + 4h² - 6h

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh + 4h^{2}-6h}{h}$

- Simplify by separate the three terms

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh}{h}+\frac{4h^{2} }{h}-\frac{6h}{h}$

∴ $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

* (C) $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

4 0

3 years ago

Admission to the country fair is $4.50 tickets for the rides are $0.50 each

tester [92]

So first, she has $11.00

Then, she has to pay an entry fee of $4.50

$11.00 - $4.50 = $6.50

If the rides are $0.50 each, divide $6.50 by $0.50

$6.50/$0.50=13

She could purchase 13 tickets for the rides.

5 0

3 years ago

Read 2 more answers

Can someone solve this for me please its algebra 1/4(12 +x ) +1/2( x− 6)

Pavel [41]

Answer:

x=4

Step-by-step explanation:

what i did is try to make some whole number and the minimum i got was 4.

1/4 = 0.25 so then do 12+4=16. then do 16*0.25=4. now do 4-6=(-2) then 1/2=0.5. now do 0.5* -2= -1. now do 4-1=3. now when there's no answer x can equal anything

6 0

3 years ago

Which property is demonstrated?

Afina-wow [57]

Answer:

Distributive property

PLS MARK THE BRAINLIST (❁´◡`❁)

4 0

3 years ago

Which of the following statements is true?

emmainna [20.7K]

Given:

A figure of a circle.

To find:

The correct statement for the given figure.

Solution:

According to the tangent secant theorem, if two tangents or two secants are drawn to the circle from an exterior point, then the measure of angle between the tangents or secants is:

$\text{Exterior angle}=\dfrac{1}{2}(\text{Difference between intercepted arcs})$

$\text{Exterior angle}=\dfrac{1}{2}(\text{Larger arc - smaller arc})$

In the given figure, the exterior angle is 32 degrees, larger arc is QAI and smaller arc is QI.

$32^\circ=\dfrac{1}{2}(m(arcQAI)-m(arcQI))$

Therefore, the correct option is C.

4 0

3 years ago