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3 years ago

What is the equation of the blue line?

Mathematics

2 answers:

liq [111]3 years ago

8 0

Answer:

${ \tt{gradient = \frac{0 - ( - 3)}{ - 3 - 0} }} \\ = - 1 \\ y = mx + c \\ 0 = ( - 1 \times - 3) + c \\ c = - 3 \\ { \boxed{ \bf{y = - x - 3}}}$

Alexandra [31]3 years ago

4 0

Hope this helps! feel free to clarify

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IB QUESTIONS:

enyata [817]

Step-by-step explanation:

Using SOHCAHTOA

$\tan = \frac{opposite}{adjacent} \\ \tan {31}^{0} = \frac{450}{x} \\ \tan {31}^{0} = 0.6009 \\ 0.6009 = \frac{450}{x} \\ cross \: multiply \\ 0.6009x = 450 \\ divide \: both \: sides \: by \: 0.6009 \\ x = \frac{450}{0.6009}x \\ = 748.9$

Second Question Explanation:

a. The base angles of an isosceles triangle are equal so angle ABC is also 32°

but the sum of angles in a triangle = 180° therefore

let angle CAB be x

${32}^{0} + {32}^{0} + {x}^{0} = {180}^{0} \\ 64 + x = 180 \\ {x}^{0} = 180 - 64 \\ {x}^{0} = {116}^{0}$

b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB

First the base of the right angled triangle will be 20/2 = 10

$\cos = \frac{adjacent}{hypotenuse} \\ \cos {32}^{0} = \frac{10}{ab} \\ \cos32 = 0.8480 \\ 0.8480 = \frac{10}{ab} \\ ab = \frac{10}{0.8480} \\ line \: ab = 11.8$

c. To find the are we'll need to get the height first

using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem

${(11.8)}^{2} = {x}^{2} + {10}^{2} \\ 1324.24 = {x}^{2} + 100 \\ {x}^{2} = 139.24 - 100 \\ {x}^{2} = 39.24 \\ \sqrt{ {x}^{2} } = \sqrt{39.24} \\ x = \sqrt{39.24 } \\ x = 6.3$

now to find the area

$area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 20 \times 6.3 \\ \frac{20 \times 6.3}{2} \\ = \frac{126}{2} \\ 63 {cm}^{2}$

4 0

3 years ago

What is -1 + 5(2 + 4n) = -91

deff fn [24]

Answer:

n = -5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Simplify the expression. 2n/3n

balandron [24]

$\dfrac{2n}{3n}=\dfrac{2\cdot \not n}{3\cdot\not n}=\dfrac{2}{3}$

3 0

3 years ago

Can someone PLEASE answer 5 and 6 for me?this assignment is due in a few minutes

Sergeu [11.5K]

Answer:

Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour

As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches

Step-by-step explanation:

I hope this helps and I’m not to late.

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3 years ago

Which would most likely be graphed using a continuous graph? Check all that apply. (Medal for correct answer.

zlopas [31]

We need an image to be able to answer this question

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3 years ago