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Ksju [112]
2 years ago
5

Hurry please!! Write an equation of the line in slope-intercept form

Mathematics
2 answers:
juin [17]2 years ago
5 0

Answer:

D

Step-by-step explanation:

Vinil7 [7]2 years ago
5 0

Answer:

d)\ y=\frac{1}{3}x +2

Step-by-step explanation:

Slope (m) form: \frac{y_2-y_1}{x_2-x_1}

m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}

y=mx+b\\y=\frac{1}{3}x +b

(3, 3)

y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b

y=\frac{1}{3}x +2

Check your answer:

y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3

This statement is true

Hope this helps!

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Match each quadratic equation with its solution set.
Marianna [84]

Answer:

( 8 , - 8)  => x² - 55 = 9

( 4 , - 4)  =>  2x² - 32 = 0

(5 , - 5) => 4x² - 100 = 0

(11 , - 11) => x² - 140 = -19

( 3, - 3) =>  2x² - 18 = 0

Step-by-step explanation:

1)

2x^2  - 32 = 0\\\\2(x^2 - 16 ) = 0 \\\\x^2 - 16 = 0 \\\\x^2 = 16 \\\\x = \sqrt {16 }  = \pm 4

x = ( 4 , - 4)

2)

4x^2 - 100 = 0 \\\\4(x^2 - 25 ) = 0\\\\x^2 - 25 = 0 \\\\x^2 = 25 \\\\x= \sqrt{25} = \pm 5

x = ( 5 , - 5 )

3)

x^2 - 55 = 9 \\\\x^2 = 9 +55\\\\x^2 = 64\\\\x = \sqrt{64} = \pm 8

x= ( 8 , - 8)

4)

x^2 - 140 = - 19\\\\x^2 = -19 + 140 \\\\x^2 = 121 \\\\x= \sqrt{121} = \pm 11

x = ( 11  , -11)

5)

2x^2 - 18 = 0\\\\2(x^2 - 9) = 0\\\\x^2- 9 = 0 \\\\x^2 = 9 \\\\x = \sqrt9 = \pm 3

x = ( 3 , - 3)

8 0
3 years ago
Read 2 more answers
The larger of to numbers is 12 more than the smaller. Their sum is 84. What are the two numbers?
Nataly_w [17]
36 and 48

a = b+12
a+b = 84

(b+12) + b =84
2b +12 = 84
2b = 72
b= 36

a = b + 12
a = 36 + 12
a = 48
3 0
3 years ago
F(x) = -1<br> g(x) = x-4<br> Can you evaluate (gof)(o)? Explain why or why<br> not.
ella [17]
Answer: Yes. (gof)(0) = -5

(gof)(0) means you will find the function of g(f(0)), which means we will find f(0) and plug that value in for x in the function g(x)

We know f(0) is -1, so we can plug -1 into the equation of g(x)

(gof)(0) = (-1) - 4
(gof)(0) = -5
7 0
3 years ago
It is 10:30pm and my brain is not cooperating with me.
r-ruslan [8.4K]

Answer:

v = 180 {cm}^{3}

Step-by-step explanation:

V= <em>lwh</em><em> </em>or <em>l</em><em> </em><em>*</em><em>w</em><em>*</em><em>h</em>

<em>Length</em><em>:</em><em> </em><em>15</em>

<em>Width</em><em>:</em><em> </em><em>3</em>

<em>Height</em><em>:</em><em>4</em>

<em>V</em><em>=</em><em>15</em><em>*</em><em>3</em><em>*</em><em>4</em>

V=180

5 0
2 years ago
Read 2 more answers
What is the perimeter of this figure?
murzikaleks [220]

Answer:

6+2+3+3+3+5=22 is a correct answer

7 0
3 years ago
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