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3 years ago

How do you write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1,1)

2 answers:

8 0

The equation of a line in slope-intercept form is

y = mx + b
where m represents the slope and b, the y-intercept.

here we have m = 2 and so the partial equation is
y = 2x + b

To find the value of b, substitute the coordinates of the point (1 ,1) into the partial equation That is x = 1 and y = 1.


-> (2 x 1) + b = 1 -> 2 + b = 1 -> b = -1
-> y = 2x - 1 is equation in slope-intercept form

harkovskaia [24]3 years ago

7 0

First you have to put it into point-slope form before you can write it in slope-intercept form which is y-y1=m(x-x1)

Y-1=2(x-1)
Distribute the 2 to the x and -1
Y-1=2x-2
Move it all to one side
Y=2x-1

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Solve for x Please help

Igoryamba

Answer:

3. A; 4. C; 5. D; 6. D

Step-by-step explanation:

3. By Pythagorean theorem, x^2=100-64=36, x=6

4. By Pythagorean theorem, x^2=81-36=25, x=5

5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4 $\sqrt{2}$ . (the ratio is 1:1: $\sqrt{2}$ by Pythagorean theorem)

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3 years ago

Solid A has a volume of

jonny [76]

Answer: 512 times

Step-by-step explanation:

$$$Volume of Solid $A=5632 \mathrm{~cm}^{3}$ \\Volume of Solid $B=11 \mathrm{~cm}^{3}$.\\Divide volume of Solid $A$ by volume of Solid $B$.\\Volume of Solid A\\Volume of Solid $B$\\$

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2 years ago

PLEASE HELP ME WITH THIS

Alik [6]

Answer:

x + y ≤ 600
5x +7y ≥ 3500
it is possible

Step-by-step explanation:

a) We can write two inequalities, one for the number of tickets, and one for the necessary revenue.

x + y ≤ 600 . . . . . . . limit imposed by available seating

5x +7y ≥ 3500 . . . . required revenue to meet expenses

b) For x = 330, the first inequality puts one limit on y:

330 +y ≤ 600

y ≤ 270

And the second inequality puts another limit on y:

5(330) +7y ≥ 3500

7y ≥ 1850 . . . . subtract 1650

y ≥ 264.3 . . . . divide by 7

The number of tickets that must be sold to meet expenses is 265, which is less than the number that can be sold, 270. It is possible to meet expenses.

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3 years ago

What value is equivalent to: (8*4*2/8*7)^2 x (8^0/7^-3)^3 x 7^-9???

ankoles [38]

(8*4*2/8*7)^2 x (8^0/7^-3)^3 x 7^-9

Simplify the equations:

(8*4*2/8*7)^2 = (64/56)^2 = (8/7)^2

(8^0/7^-3)^3 = (1/7^-3)^3 = 7^9

Now you have :

(8/7)^2 x 7^9 x 7^-9

Multiply 7^9 x 7^-9 by adding the exponents to get 7^0, which = 1

Now you have:

(8/7)^2 x 1

(8/7)^2 = (8x8) / (7x7) = 64/49

64/49 x 1 = 64/49

6 0

3 years ago

A map has a scale of 5 inches : 12 miles. if two cities are 13 inches apart on the map, what is the actual distance between the

emmasim [6.3K]

Set up a proportion that looks like 5/12 = 13/x with X being the actual distance between the cities if they are 13 inches apart on the map.

Then cross-multiply to get 5x = 156. Divide by 5 to isolate the X and get X = 31.2

The cities are a distance of 31.2 miles apart.

I'm guessing your question cut off where you put to the nearest... and you mean to round to the nearest whole number in which case your answer would be just 31 miles apart.

8 0

3 years ago