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3 years ago

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

Mathematics

2 answers:

Hitman42 [59]3 years ago

8 0

Answer: 0

Step-by-step explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by :-

$m=\dfrac{d-b}{c-a}$

The given points : (-3, 5) and (4, 5)

Then , the slope of a line passing through two points (-3, 5) and (4, 5) is given by :-

$m=\dfrac{5-5}{4-(-3)}\\\\\Rightarrow\ m=\dfrac{0}{7}=0$

Hence, the slope of the line through the points (-3, 5) and (4, 5) = 0

Natasha_Volkova [10]3 years ago

5 0

Answer:

Slope: 0

Step-by-step explanation:

(-3,5) (4,5)

y2-y1/x2-x1

5-5/4+3=0/7

0/7 simplifies to 0.

So the slope of the line (-3,5) (4,5) is 0.

Hope this helps! ;)

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Frank started out in his car travelling 45 mph. When Frank was 1/3 miles away, Daniel started out from the same point at 50 mph

Anna007 [38]

Time taken by Daniel to catch up with Frank is 4 minutes.

Step-by-step explanation:

The question is on relative speed; speed of a moving object with respect to another.

The two cars are travelling in the same direction at different speeds thus;

Relative speed = speed of Daniel - speed of Frank = 50-45= 5 mph

The time which the two meet = distance/ relative speed

Distance = 1/3 miles, which equals 0.33 miles

Time taken by Daniel to catch up with Frank is = 0.33/5 =0.066 hours = 4 minutes.

Learn More

Relative speed: brainly.com/question/10681729

Keywords: car, travelling, miles,started at the same point,catch up with

#LearnwithBrainly

6 0

4 years ago

Read 2 more answers

What does the fundamental theorem of algebra illustrate?

UNO [17]

Answer:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

Step-by-step explanation:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

We have to find the roots of this given equation.

If a quadratic equation is of the form $ax^{2}+bx +c=0$

Its roots are $\frac{-b+\sqrt{b^{2}-4ac } }{2a}$ and $\frac{-b-\sqrt{b^{2}-4ac } }{2a}$

Here the given equation is $2x^{2}-4x-1$ = 0

a = 2

b = -4

c = -1

If the roots are $x_{1} and x_{2}$ , then

$x_{1}$ = $\frac{-2+\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}$

= $\frac{4 +\sqrt{24}}{4}$

= $\frac{2+\sqrt{6} }{2}$

$x_{2}$ = $\frac{-2-\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}$

= $\frac{4 +\sqrt{8}}{4}$

= $\frac{2-\sqrt{6} }{2}$

These are the two roots of the equation.

6 0

3 years ago

Need help with math pls 50 points and brainlest

kramer

Answer:

I'm in the 13's section bro

8 0

3 years ago

Factor the expression completely

Phantasy [73]

Factor : 8y - 36

Go through all of the answer choices & see which one is correct.

a) -4 (2y + 9)

You don't even have to fully simplify this, just by looking at the -4, you already know that this is incorrect because you need to have a positive 8. So, A is incorrect.

b) 8 (y - 4)

Simplify.

8y - 32

Incorrect because it is not equal to the original equation.

c) 2 (4y - 18)

Simplify.

8y - 36

Correct answer because it is equal to the original equation.

d) 4(2y - 9)

Simplify.

8y - 36

D is also correct.

So, your answer is : (C) and (D) are your answers.

~Hope I helped!~

5 0

3 years ago

Read 2 more answers

One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54inches. What are the dimensions of the r

Julli [10]

Answer:

15 and 12

Step-by-step explanation:

Set the two sides as x and y

y=x-3

P = 2w+2l

2x+2(x-3) = 54

4x-6=54

4x=60

x=15

y=12

6 0

3 years ago