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3 years ago

Find the slope of the line that passes through the points (-4, 3) and (6, -2).

Mathematics

2 answers:

Norma-Jean [14]3 years ago

5 0

Answer:

-1/2

Step-by-step explanation:

using the slope formula 3-(-2)/-4-6=-1/2

GarryVolchara [31]3 years ago

5 0

Step-by-step explanation:

dy = the change in y-values = –2–3 = –5

dx = the change in x-values = 6–(–4) = 6+4 = 10

m = Dy/Dx = –5/10

m = –½

You might be interested in

The general formula for this parabola is y2 = 4px. Therefore, the value of p is

olga55 [171]

Simple

compare
y²=4px vs
y²=-4x

y²=y²
4px=-4x
divide both sides by x
4p=-4
divide both sides by 4
p=-1

p=-1
If correct please give brainliest!! Hope this helps

6 0

3 years ago

this is a clear picture from the last one. can u show me the steps of how u worked out the answer plz

azamat

One piece at a time:

4(p+2) means 4 times everything inside the parentheses.
That's
   4(p) + 4(2) = 4p + 8 .

3(2p-3) means 3 times everything inside the parentheses.
That's
   3(2p) + 3(-3) = 6p - 9 .

Now add everything up:

   4p + 8 + 6p - 9 .

Add all the p's together:   4p + 6p = 10p

Add all the plain numbers together: 8 - 9 = -1

The final result is: 10p - 1 .

4 0

3 years ago

What is the input value other than 7 for which g(x)=4

Vsevolod [243]

Given:

It is given that the value of the graph when the input 7 is $g(x)=4$

We need to determine the value of x when $g(x)=4$

Value of x when $g(x)=4$ :

The value of x can be determined by using the graph.

From the graph, we need to determine the value of x when $g(x)=4$ other than the value x = 7.

This can be determined by finding the point at which the line meets the point y = 4, we can find the corresponding x - value.

Thus, from the graph, it is obvious that the graph also meets the point y = 4 when x = -8.

Therefore, the input value is x = -8 which makes $g(x)=4$

Hence, the input value other than 7 for which $g(x)=4$ is x = -8.

7 0

3 years ago

All steps for: x/x-2 + x-1/x+1= -1

lorasvet [3.4K]

Answer:

$\large\boxed{x=0\ \vee\ x=1}$

Step-by-step explanation:

$Domain:\\\\x-2\neq0\ \wedge\ x+1\neq0\\\\x\neq2\ \wedge\ x\neq-1\\\\\boxed{D:\ x\in\mathbb{R}-\{-1,\ 2\}}\\\\=============================$

$\dfrac{x}{x-2}+\dfrac{x-1}{x+1}=-1\qquad\text{subtract}\ \dfrac{x-1}{x+1}\ \text{from both sides}\\\\\dfrac{x}{x-2}=-1-\dfrac{x-1}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-(x+1)}{x+1}+\dfrac{-(x-1)}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-(x+1)-(x-1)}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-x-1-x+1}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-2x}{x+1}\qquad\text{cross multiply}$

$x(x+1)=-2x(x-2)\qquad\text{use the distributive property}\\\\(x)(x)+(x)(1)=(-2x)(x)+(-2x)(-2)\\\\x^2+x=-2x^2+4x\qquad\text{add}\ 2x^2\ \text{to both sides}\\\\3x^2+x=4x\qquad\text{subtract 4x from both sides}\\\\3x^2-3x=0\qquad\text{distributive}\\\\3x(x-1)=0\iff 3x=0\ \vee\ x-1=0\\\\x=0\in D\ \vee\ x=1\in D$

4 0

3 years ago

Read 2 more answers

Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest. compounded weekly. What is the value of the CD a

blsea [12.9K]

Answer:

The value of the CD at the end of the 4 years is $5,808.86.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest.

This means that $P = 5000, r = 0.0375$