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belka [17]
3 years ago
14

What is the slope intercept form for 8-9 whoever answers both and correct will get brainliest

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

slope 8= -1/5

slope 9= -1

Step-by-step explanation:

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Step-by-step explanation:

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\bf tan(\theta )-1=0\implies tan(\theta )=1\implies \measuredangle \theta =&#10;\begin{cases}&#10;\frac{\pi }{4}\\&#10;\frac{7\pi }{4}&#10;\end{cases}&#10;\\\\\\&#10;\textit{the tangent is positive}\\&#10;\textit{that means the I and III quadrants}


bear in mind that tangent is sine/cosine or y/x

for the tangent to be negative, the signs of "y" and "x" must differ, and that happens only on the II and IV quadrants

and for the tangent to be positive, the signs must be same, and that's only on I and III quadrants.
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3 years ago
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is 45.
Elza [17]

Question:

ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.

Answer:

101.5cm²

Step-by-step explanation:

The figure for the trapezium ABCD is attached to this response.

To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;

A  = \frac{1}{2} x (a + b) x h            ------------------(i)

Where;

A = area of the trapezium

a and b are the parallel sides of the trapezium

h = height of the trapezium.

As shown in the figure,

<em>AB and CD are parallel</em>

Therefore, we can say that;

a = AB

b = CD

Also, from the figure,

<em>The height of the trapezium is BP</em>

Therefore, we can say that;

h = BP

We know that;

a = AB = 4cm

b = CD = 25cm

h = BP = 7cm

Substitute these values of a, b and h into equation (i) as follows;

A  = \frac{1}{2} x (4 + 25) x 7    

A  = \frac{1}{2} x (29) x 7    

A = 101.5

Therefore, the area of the trapezium is 101.5cm²

8 0
3 years ago
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