1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexdok [17]
3 years ago
8

Find an equation of the line that passes through (4,5) and that line is parallel to y=3x+2. Give the answer in slope-Intercept f

orm
Mathematics
1 answer:
rodikova [14]3 years ago
3 0

Answer:

y = 3x - 7

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 )

y = 3x + 2 ← is in slope- intercept form

with m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (4, 5) into the partial equation

5 = 12 + c ⇒ c = 5 - 12 = - 7

y = 3x - 7 ← equation of line

You might be interested in
What two numbers multiply to -49 and add to +6
Zina [86]
I don’t think there is a number that does both of those, the factors of 49 are 1, 7, and 49
4 0
3 years ago
Find the remaining trigonometric ratios of θ if csc(θ) = -6 and cos(θ) is positive
VikaD [51]
Now, the cosecant of θ is -6, or namely -6/1.

however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.

we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now

\bf csc(\theta)=-6\implies csc(\theta)=\cfrac{\stackrel{hypotenuse}{6}}{\stackrel{opposite}{-1}}\impliedby \textit{let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\pm\sqrt{6^2-(-1)^2}=a\implies \pm\sqrt{35}=a\implies \stackrel{IV~quadrant}{+\sqrt{35}=a}

recall that 

\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad\qquad 
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\\\\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\\\\\\
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\qquad \qquad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}

therefore, let's just plug that on the remaining ones,

\bf sin(\theta)=\cfrac{-1}{6}
\qquad\qquad 
cos(\theta)=\cfrac{\sqrt{35}}{6}
\\\\\\
% tangent
tan(\theta)=\cfrac{-1}{\sqrt{35}}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{\sqrt{35}}{1}
\\\\\\
sec(\theta)=\cfrac{6}{\sqrt{35}}

now, let's rationalize the denominator on tangent and secant,

\bf tan(\theta)=\cfrac{-1}{\sqrt{35}}\implies \cfrac{-1}{\sqrt{35}}\cdot \cfrac{\sqrt{35}}{\sqrt{35}}\implies \cfrac{-\sqrt{35}}{(\sqrt{35})^2}\implies -\cfrac{\sqrt{35}}{35}
\\\\\\
sec(\theta)=\cfrac{6}{\sqrt{35}}\implies \cfrac{6}{\sqrt{35}}\cdot \cfrac{\sqrt{35}}{\sqrt{35}}\implies \cfrac{6\sqrt{35}}{(\sqrt{35})^2}\implies \cfrac{6\sqrt{35}}{35}
3 0
3 years ago
Omg i am bored so answer and get points will mark as brelenzz
Zarrin [17]

Answer:

298

Step-by-step explanation:

random numbers also why did you make this lol

3 0
3 years ago
the race is 20 minutes long. aritza gets a 5 meter head start after 2 minutes she is at 10 meters what is her equation
OlgaM077 [116]

5+2+10 is what i thibnk the answer is

3 0
3 years ago
A candy machine makes 75 pieces of candy a minute. If a full box of candy holds 8 pieces, how many full boxes does the machine
Hunter-Best [27]
9 hvcitcutdutdutdutdut
8 0
3 years ago
Read 2 more answers
Other questions:
  • If P > Q is true and Q is true then p is
    13·1 answer
  • A college has a student to teacher ratio of 30 to 2. If there are 176 teachers at the college, how many students attend the coll
    12·2 answers
  • Which relation does not represent a function? A) a vertical line B) y = 5 9 x - 3 C) a horizontal line D) {(1, 7), (3,7), (5, 7)
    12·2 answers
  • Suppose you buy a new car whose advertised mileage is 20 miles per gallon​ (mpg). After driving your car for several​ months, yo
    7·1 answer
  • The angle of elevation from the base to the top of a waterslide is 13 degrees. The slide extends horizontally 58.2 meters. Appro
    10·1 answer
  • What is the diamater of a circle<br> the area of a circle is 144π m^2
    7·1 answer
  • Select the inequality that represents the relationship described below. The sum of three times a number and seven is greater tha
    7·2 answers
  • Tom makes 32 dollars a week. He spends 5/8 for lunch and 1/4 for music. How much money did Tom saved
    9·1 answer
  • Please help me! I will give brainly
    10·2 answers
  • Which angle has a measure equal to the sum of m∠SQR and m∠QRS?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!