All categories

3 years ago

What is the slope of the line through (2,-2) and (9, 3)

Mathematics

2 answers:

Bogdan [553]3 years ago

7 0

Answer:

slope = $\frac{5}{7}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (9, 3)

m = $\frac{3+2}{9-2}$ = $\frac{5}{7}$

puteri [66]3 years ago

4 0

Answer:it is 5/7

Step-by-step explanation: the formula for slope is rise/run divide and you get 5/7

You might be interested in

Alex mixes 2/3 pounds of walnuts with 3/5 pound of dried fruit. To create more of the same mixture, how many pounds of walnuts d

igomit [66]

ANSWER

Alex needs to mix one pound of dried fruit with
$1 \frac{1}{9}$
pounds of walnuts.

EXPLANATION

It was given that, Alex mixes
$\frac{2}{3}$
pounds of walnuts with

$\frac{3}{5}$
pounds of dried fruit.

We can write the ratio,

$\frac{2}{3} : \frac{3}{5}$

Let
$x$
represent how many pounds of walnuts Alex needs to mix with one pound of dried fruit.

Then we can again write the ratio,

$x: 1$
We can therefore write the proportion,

$\frac{2}{3} : \frac{3}{5} = x: 1$

This can be rewritten as,

$\frac{ \frac{2}{3} }{ \frac{3}{5} } = \frac{x}{1}$

We solve for x to obtain,

$\frac{2}{3} \times \frac{5}{3} = x$

This implies that,

$x = \frac{10}{9}$

$x = 1 \frac{1}{9}$

Hence Alex needs to mix
$1\frac{1}{9}$
pounds of walnuts with one pound of dried fruit.

8 0

4 years ago

Solve the system of equations y=x-2 x+y=10

nalin [4]

Answer:

Step-by-step explanation:

x + x - 2 = 10

2x - 2 = 10

2x = 12

x = 6

y = 6 -2

y = 4

(6,4)

6 0

4 years ago

a bus stops at the corner of elm street and oak street every half hour between 9 a.m. and 3 p.m. and every 15 minutes between 3

aivan3 [116]

From 9 a.m to 3 p.m its 6hrs
$6 \times 2 = 12$
From 3pm to 6pm is 3 hours
$3 \times 4 = 12$
Answer is 24

6 0

3 years ago

If F(x)=integral of sqrt(t^3+1) dt from 0 to x, then F'(2)=?

Arlecino [84]

To answer this question, first
let ∫ √(t³+1) dt = g(t) + C
Then g'(t) = √(t³+1) 

F(x) = ∫₀ˣ √(t³+1) dt = g(t) |₀ˣ = g(x) - g(0) 

Now g(x) is some function of x, while g(0) is a constant 

F(x) = g(x) - g(0) 

Differentiate both sides: 
F'(x) = g'(x) - 0 = √(x³+1) 

So you are correct, in this case, we simply replace t with x (this is not always the case) 

F'(2) = √(2³+1) = √9 = 3 

You MUST remember that when dealing with square roots, we have: 
x² = 4 -----> x = -2 or 2 
x = √4 ----> x = 2 

That's why in the quadratic formula: x = (-b ± √(b²-4ac)) / (2a), we use a ± sign in front of square root, otherwise, if we could willy-nilly assign positive and negatives value to √(b²-4ac), then we would have no need for the ± sign. 

Also, when solving x² = 4, we usually have intermediate step 
x = ± √4, where +√4 (or simply √4) = 2, and -√4 = 2

7 0

4 years ago

Find the volume of the rectangular prism. 3

12345 [234]

Step-by-step explanation:

How are we supposed to find volume if you don't enter the other elements I.e width, length and height?

But just in case the formulae for finding volume is to multiply is elements. So to find volume multiply is width, length and height.

6 0

2 years ago