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yaroslaw [1]
3 years ago
5

What is the slope of a line that passes through points (-1, 4) and (4, 9)?

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0
m =  \frac{y2 - y1}{x2 - x1}

m =  \frac{9-4}{4 - - 1} 
 \\ m = 5/5
 \\ m = 1

Slope is one

Slope = 1
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Given the equation Y-4=3/4(x+8) in point-slope form, identify the equation of the same line in standard form
alisha [4.7K]

Answer:

3x-4y=-40

Step-by-step explanation:

Hi there!

We're given the equation of the line, y-4=3/4(x+8) in point-slope form (y-y_{1}=m(x-x_{1}), where (x_{1},y_{1}) is a point and m is the slope)

We need to convert y-4=3/4(x+8) into standard form (ax+by=c, where a, b, and c are integer coefficients; a CANNOT be 0, and CANNOT be negative).

So we need to get y-4=3/4(x+8) out of point-slope form

We can do this by converting the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

to do this, we need to isolate y by itself in the equation

first, do the distributive property and distribute 3/4 on the right side

y-4=3/4x+6

add 4 to both sides

y=3/4x+10

now the equation is in slope-intercept form, but remember, we want it in standard form

x and y are on the same side in standard form, so let's subtract 3/4 x from both sides

-3/4x+y=10

however we aren't done; in standard form, the coefficients need to be integers (whole numbers), and a (the coefficient in front of x) CANNOT be negative

so let's multiply both sides by -4 to clear the fraction and change the sign of a

-4(-3/4x+y)=-4(10)

do the distributive property

<u>3x-4y=-40</u>

Hope this helps! :)

6 0
2 years ago
Hey does anyone know what 4/5 times 7/8 is ?- its for my math hw and its due in a hour thx!
LUCKY_DIMON [66]

Answer:

0.7

Step-by-step explanation: (4/5)*7)/8

Hope this helps:)

3 0
3 years ago
Rewrite using a single positive exponent
fiasKO [112]

Step-by-step explanation:

\frac{ {7}^{4} }{7}  =  {7}^{4 - 1}  =  {7}^{3}

5 0
3 years ago
I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The
son4ous [18]

Answer:

x  =  15 ft

y  =  15 ft

A(max)  =  225 ft²

Step-by-step explanation:

Let call  "x "  and  " y "  sides of the rectangle x (side paralll to the northern  boundary, then:

A(r)  = x*y        and      4*x  +  2*2*y  =  120   or    4*x  + 4*y  = 120

4*x  +  4*y  = 120    ⇒  x  +  y  = 30    ⇒   y  =  30 - x

Area of the garden as a function of x is:

A(x)  =  x* ( 30 - x )    ⇒  A(x)  =  30*x  - x²

Taking derivatives on both sides of the equation

A´(x)  = 30  - 2*x

A´(x)  = 0   ⇒    30  - 2*x =  0

2*x  =  30

x = 30/2

x = 15 ft

And  y =  ( 30 - x )

y  =  15 ft

A(max)  =  15*15

A(max)  = 225 ft²

8 0
3 years ago
One ball is to be selected from a box containing red, white, blue, yellow, and green balls. If the probability that the selected
ZanzabumX [31]

Answer:

30% probability that it will be yellow, or green

Step-by-step explanation:

The urn has red, white, blue, yellow, and green balls.

Each ball is chosen with the following probabilities:

1/10 = 10% probability it is red

2/5 = 40% probability it is white

1/5 = 20% probability it is blue.

p probability it is yellow or green

What is the probability that it will be yellow, or green

The sum of all probabilities is 100%. So

10 + 40 + 20 + p = 100

p = 30

30% probability that it will be yellow, or green

5 0
3 years ago
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