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Sliva [168]
3 years ago
12

Write the equation of a line with the slope, \frac{-1}{2}, which passes through the point (5, -6). write the answer in slope-int

ercept form.
Mathematics
1 answer:
Goryan [66]3 years ago
8 0
Y= -1/2x +b
-6= -1/2(5) +b
-6 = -2.5 +b
-3.5 = b

Answer: y= -1/2x - 3.5
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If tan theta = 12/5 and cos theta < 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
 cos Ф>0   ⇔  sec Ф>0  ⇔  sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1  ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0   ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
Iris tenía cierta cantidad de dinero por su cumpleaños su mamá le dio 20 soles después tu papá le dio el triple de lo que ya ten
Alisiya [41]

Resultado:

{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \Rightarrow 20 + 60 + 80 = 160}

\:  \:  \:  \:  \:  \:  \:  \:  \: \sf \Rightarrow20+60+80=160

\:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \sf \Rightarrow160 - 100 = 60}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf \Rightarrow160−100=60

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \sf \Rightarrow100 - 60 = 40}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \sf \Rightarrow100−60=40}

\:  \:  \:  \:  \:  \:  \sf \Rightarrow60 + 40 + 100 = 200

\:  \:  \: \:  \:  \:  \: { \sf  \Rightarrow60+40+100=200}

\bf\green{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Answer :}

Iris al principio tenía 40 soles.

Espero que te sirva, salu2!!!!

3 0
2 years ago
Read 2 more answers
8. Solve the following equation. w - 2 = - 3
Alina [70]

Answer:

c. w = -1

Step-by-step explanation:

you have to add 2 with -3 and you get -1.

5 0
3 years ago
Read 2 more answers
What is it !, help !
Gala2k [10]

Answer:

an isosceles triangle

Step-by-step explanation:

it has two equal sides so this is isosceles triangle

7 0
3 years ago
PLZZZ HELPP anyonee plzzzz
mihalych1998 [28]

Answer:

The correct answer is B

Step-by-step explanation:

its is B because when dividing fractions the division symbol changes into a multiplication sign and the fraction on the right flips

High Hopes^^

Barry-

8 0
3 years ago
Read 2 more answers
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