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kow [346]
3 years ago
8

HELP ASAP! convert to slope-intercept form with steps please :) 6x > 2y = 5

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

Answer:

y < 3x + \frac{5}{2}

Step-by-step explanation:

6x > 2y - 5

<em>Adding 5 to both sides</em>

=> 6x + 5 > 2y

<em>=> </em>2y < 6x+5

Dividing both sides by 2

=> y < \frac{6x+5}{2}

=> y < \frac{6x}{2} + \frac{5}{2}

=> y < 3x + \frac{5}{2}

This is the required slope intercept form in the form y = mx+b

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3 years ago
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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from
Lapatulllka [165]
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

The area of a triangle is= \frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]

=|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|

=|-54| = 54 square units

The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

                          = \sqrt{(2-12)^{2} +(1-8)^2}

                         =\sqrt{149} units

Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

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3 years ago
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Hello :
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gayaneshka [121]

Answer:

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Step-by-step explanation:

Solution for What is 400 percent of 62:

400 percent *62 =

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Now we have: 400 percent of 62 = 248

Question: What is 400 percent of 62?

Percentage solution with steps:

Step 1: Our output value is 62.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$62=100\%.

Step 4: Similarly, x=400\%.

Step 5: This results in a pair of simple equations:

62=100\%(1).

x=400\%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

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Step 7: Again, the reciprocal of both sides gives

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Answer:

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