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Rainbow [258]
2 years ago
10

which equation shows the point slope form of the line that passes through (3,2) and has a slope of 1/3

Mathematics
1 answer:
gavmur [86]2 years ago
8 0

Answer:

y=1/3x+1

Step-by-step explanation:

y=mx+b

y=1/3x+b

2=1/3(3)+b

2=1+b

1=b

y=1/3x+1

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A central angle helps us with?
enot [183]

Answer:

A central angle is an angle with endpoints and located on a circle's circumference and vertex located at the circle's center. A central angle in a circle determines an arc . For an inscribed angle and central angle with the same endpoints,

Step-by-step explanation:

3 0
3 years ago
23,697 round to the nearest ten thousand
CaHeK987 [17]
20,000 would be the answer
8 0
3 years ago
In a bag there are 10p coins, 20p coins and 50p coins
Scrat [10]

Answer:

Approximately 25p (please change to pounds by yourself I'm not European, sorry).

Ok so according to my research its 100 pence to one pound. Which will mean that 25p in pounds is £ 00.25

Step-by-step explanation:

<h3>let's say:</h3><h3>10p= <em>x</em></h3><h3>20p=<em> </em><em>y</em><em> </em></h3><h3>50p= <em>z</em><em> </em></h3><h3>'3 fewer 20p (<em>y</em><em>)</em><em> </em>coins than 10p (<em>x</em>) coins'</h3><h3>Therefore:</h3><h3>y-3=<em>x</em><em> </em></h3><h3>and <em>y</em>= <em>x</em>+3</h3><h3>'7 more 50p coins (<em>z</em>) than 10p coins (<em>x</em>)'</h3><h3>That is:</h3><h3><em>z</em>+7= <em>x</em></h3><h3><em>z</em><em>=</em><em> </em><em>x-7</em></h3><h3>'altogether are 61 coins'</h3><h3><em>x</em><em>+</em><em>y</em><em>+</em><em>z</em><em> </em><em>=</em><em> </em>61 </h3><h3>(substitute for y and z)</h3><h3><em>x</em><em> </em>+ <em>x</em><em> </em>+ 3 + <em>x</em><em> </em>- 7 = 61</h3><h3><em>x</em><em>+</em><em>x</em><em>+</em><em>x</em><em>+</em><em>3</em><em>-7</em><em> </em><em>=</em><em> </em>61</h3><h3>3<em>x</em><em> </em>- 4= 61</h3><h3>3<em>x</em>= 61 + 4</h3><h3>3<em>x</em>=65</h3><h3><em>x</em>= 65÷3</h3><h3><em>x</em>= (approximately) 21.6 </h3><h3>(Substitute <em>x</em><em> </em>in <em>y</em><em> </em>and <em>z</em>)</h3><h3><em>y</em><em> </em><em>=</em><em> </em><em>x</em><em>+</em>3</h3><h3><em>y</em><em> </em>= 21.6 + 3 = 24.6 (approximately 25)</h3><h3><em>z</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>-7</h3><h3><em>z</em><em>=</em><em> </em>21.6-7= 14.6 (approximately 15)</h3><h3>y= 20p </h3><h3>y= 25p (approximately)</h3><h3 /><h3><u>Check</u><u> </u></h3><h3>x+y+z= ?</h3><h3>21.6 + 24.6 + 14.6= 60.8 (approximately 61)</h3>

(Sorry I couldn't change to pounds)

And I tried to explain as much as possible, you can ask if you're confused.

5 0
2 years ago
Complete the congruence statement
Dvinal [7]

Angle Y equals Angle S

8 0
3 years ago
Can you help me solve this?
antiseptic1488 [7]

The required composite value f(g(-8) is 28

A composite function is a function inside another function. Given the following functions

f(x) = x² - 3x - 12

g(x) = -x - 12

Required composite function is f(g(-8))

First we need to get f(g(x))

f(g(x)) = f(-x-12)

f(-x-12) =  (-x-12)² - 3x - 12

Expand

f(-x-12) = x² +24x + 144 - 3x - 12

f(-x-12) = x² +21x + 132

f(g(x)) = x² +21x + 132

Substitute x = -8 into the result

f(g(-8)) = (-8)² +21(-8) + 132

f(g(-8)) = 64 - 168 + 132

f(g(-8)) = 28

Hence the required composite value f(g(-8) is 28

Learn more here : brainly.com/question/3256461

8 0
2 years ago
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