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3 years ago

I don't remember how to do this.

Mathematics

1 answer:

JulijaS [17]3 years ago

6 0

So the equation of a line is:
y = mx + b

You are given an x and a y and a rate, which is the slope of the line (m).
The rate is given as N per unit. This means the 'unit' whatever it is referring to will be your 'x' variable.

Then solve for y-intercept (b) by subbing in your x,y values.
----> b = y - mx

Example 3:
Rate is $8 per day. Days are my x variable, Dollars are my y variable.
Given: x = 3, y = 29

b = y - mx = 29 - (8)(3) = 29 - 24 = 5

Equation of line:
y = 8x + 5

Hope this helps

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Match each percent expression to its simplified form.

yulyashka [42]

Answer:

Step-by-step explanation:

1) 15% of 75 = (15/100) * 75 = 0.15*75 = 11.25

2) 7% of 980 = 0.07 * 980 = 68.6

3) 45%of 62 = 0.45 * 62 = 27.9

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4 0

3 years ago

Read 2 more answers

Someone help me please pls pls pls

katrin2010 [14]

Answer:

There is 9 on each pace and 3 on a row

Step-by-step explanation:

54/6=9

if there is 9 on each side and the same on each side, then it has to be 3 in each row and column. Also, this is a Rubix cube

Please give me brainliest, it really helps! :)

Have a good day!

7 0

3 years ago

Can anyone help me with this problem??

Arlecino [84]

9514 1404 393

Answer:

(a) 4/3

(b) y -3 = 4/3(x -1)

(d) r = 5

Step-by-step explanation:

a) The slope is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (7 -3)/(4 -1) = 4/3

b) The radius is normal to the circle. The point-slope form of the equation for a line can be useful here:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

For slope 4/3, the line through point (1, 3) will have the equation ...

y -3 = 4/3(x -1) . . . . point-slope equation of the normal

c) The tangent is perpendicular to the radius. It will have a slope that is the opposite reciprocal of the slope of the radius: -1/(4/3) = -3/4.

y -3 = -3/4(x -1) . . . . point-slope equation of the tangent

d) The radius can be found from the distance formula.

d = √((x2 -x1)² +(y2 -y1)²)

d = √((4 -1)² +(7 -3)²) = √(3² +4²) = √25 = 5

The radius of the circle is 5.

4 0

3 years ago

A scale drawing of an apartment shows the living room length as 5.7 inches. The scale on the drawing is 1 inch = 3 feet. What is

UkoKoshka [18]

Answer:

Step-by-step explanation:

Scale drawing = 5.7 inches

scale = 1 inches = 3 feet

If 1 inches = 3 feet

5.7 inches = $x$ feet

solving for $x$ , we cross-multiply

$x$ x 1 = 5.7 x 3

$x$ = <em>17.1 feet</em>

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3 years ago

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Rus_ich [418]

Answer:

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Explanation is given in the attachments.

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3 years ago