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sergeinik [125]
3 years ago
9

A line passes through the point (6,-3) and has a slope of -3/2 write an equation in slope intercept form

Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0

Answer:

y = - \frac{3}{2} x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = - \frac{3}{2}, hence

y = - \frac{3}{2} x + c ← is the partial equation

to find c substitute (6, - 3 ) into the partial equation

- 3 = - 9 + c ⇒ c = - 3 + 9 = 6

y = - \frac{3}{2} x + 6 ← equation in slope- intercept form


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Ivanshal [37]

Answer:

linear

Step-by-step explanation:

y - x = 2x - \frac{2y}{3}

\frac{5y}{3} = 3x

y = 9x/5

6 0
3 years ago
If six girls can finish sweeping the floor of a hall in 45mins,how long will the same work take ten girls to do
AleksandrR [38]

Answer:

15 minutes i think

Step-by-step explanation:

45÷6=7.5

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4 0
3 years ago
Simplify. Thank you...
Verizon [17]

Answer:

I'm not entirely sure but I got:

\frac{ {4x}^{3} + 3 }{(2x - 1)( {x}^{2}  + x)( {2x}^{2} - 3x + 1) }

5 0
3 years ago
Read 2 more answers
The correct answer will be marked as brainliest ! Please help me
Oksana_A [137]
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7 0
3 years ago
Find the area of the shaded region in the graph y=x^2-2
Artist 52 [7]

By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.

<h3>How to find the area of the shaded region in the graph y = x² - 2</h3>

The area below the curve can be found by using <em>definite</em> integrals, which is defined here in this form:

I = \int\limits^{1.5}_{0.5} {x^{2}-2} \, dx     (1)

Now we proceed to calculate the area:

I = \int\limits^{1.5}_{0.5} {x^{2}} \, dx - 2 \int\limits^{1.5}_{0.5}\, dx

I = \frac{x^{3}}{3}|_{0.5}^{1.5} - 2 \cdot x |_{0.5}^{1.5}

I = \frac{1.5^{3}-0.5^{3}}{3} - 2 \cdot (1.5 - 0.5)

I = -\frac{11}{12}

By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.

<h3>Remark</h3>

The statement is incomplete. Complete form is shown below:

Find the area of the shaded region in the graph y = x² - 2, between x = 0.5 and x = 1.5

To learn more on definite integrals: brainly.com/question/14279102

#SPJ1

3 0
2 years ago
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