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
GarryVolchara [31]
3 years ago
10

Write the equation Of a line in slope intercept form that passes through (-2,5) and is perpendicular to y=1/3x-2

Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

y = - 3x - 1

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 = \frac{1}{3} x - 2 ← is in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (- 2, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = - 3x - 1 ← equation of perpendicular line

You might be interested in
Which of the following scatterplots represents the data shown below? (1, 31), (2, 8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27
Karolina [17]

Answer:deez

Step-by-step explanation:

deez

4 0
2 years ago
Solve this system of equations: y = 7; y = -2x+1 *
Gnoma [55]

Answer:

x = -3

y = 7

Step-by-step explanation:

y = -2x + 1

7 = -2x + 1

<u>-1           -1 </u>

6 = -2x

divide by -2

x = -3

6 0
3 years ago
Read 2 more answers
What is 25% Of 30% Of 400?
marta [7]

Answer:

25% of 30% of 400 = 30

33% decrease in value

Step-by-step explanation:

You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.

Method 1:

30% of 400 = 0.3 of 400 = 0.3 * 400 = 120

25% of 120 = .25 of 120 = .25 * 120 = 30

Method 2:

30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400

7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30

5.) To find the percentage  of the new price, you can build the equation below.

\frac{new price}{original price} = \frac{percent}{100}

\frac{200,000}{300,000}  = \frac{x}{100}

20,000,000 = 300,000x

x = 66.667

The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.

3 0
3 years ago
Please help me fast! I will give brainly
Afina-wow [57]

Answer:

He's correct.

Step-by-step explanation:

As long as there is no change in sign of the variables.

8 0
3 years ago
Read 2 more answers
If 180° &lt; α &lt; 270°, cos⁡ α = −817, 270° &lt; β &lt; 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?
eduard

Answer:

cos(\alpha+\beta)=-\frac{84}{85}

Step-by-step explanation:

we know that

cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)

Remember the identity

cos^{2} (x)+sin^2(x)=1

step 1

Find the value of sin(\alpha)

we have that

The angle alpha lie on the III Quadrant

so

The values of sine and cosine are negative

cos(\alpha)=-\frac{8}{17}

Find the value of sine

cos^{2} (\alpha)+sin^2(\alpha)=1

substitute

(-\frac{8}{17})^{2}+sin^2(\alpha)=1

sin^2(\alpha)=1-\frac{64}{289}

sin^2(\alpha)=\frac{225}{289}

sin(\alpha)=-\frac{15}{17}

step 2

Find the value of cos(\beta)

we have that

The angle beta lie on the IV Quadrant

so

The value of the cosine is positive and the value of the sine is negative

sin(\beta)=-\frac{4}{5}

Find the value of cosine

cos^{2} (\beta)+sin^2(\beta)=1

substitute

(-\frac{4}{5})^{2}+cos^2(\beta)=1

cos^2(\beta)=1-\frac{16}{25}

cos^2(\beta)=\frac{9}{25}

cos(\beta)=\frac{3}{5}

step 3

Find cos⁡ (α + β)

cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)

we have

cos(\alpha)=-\frac{8}{17}

sin(\alpha)=-\frac{15}{17}

sin(\beta)=-\frac{4}{5}

cos(\beta)=\frac{3}{5}

substitute

cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})

cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}

cos(\alpha+\beta)=-\frac{84}{85}

4 0
3 years ago
Other questions:
  • If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:
    11·1 answer
  • The quadratic x^2-6x+66 can be written in the form (x+b)^2+c, where b and c are constants. What is b+c?
    6·1 answer
  • A company's profit (in millions of dollars) can be represented by x^2-6x+12, where x is the number of years since the company st
    11·1 answer
  • Find the value of x
    9·1 answer
  • Abc is a right angled triangle work out the size of the angle marked x five your answer correct to 1 decimal place
    8·2 answers
  • Which expression is equivalent? 8(3x − 6) A) 24x + 48 B) 24x − 48 C) −24x + 48 D) −24x − 48
    13·2 answers
  • Estimate the rate of change of the graphed function over the interval -4 &lt;_ x &lt;_ 0
    11·1 answer
  • What is the sum of the first 10 terms of this geometric sequence? 3, –6, 12, –24, …
    14·2 answers
  • Find the quotient of 15.75 and 4.5?
    7·1 answer
  • Im doing an i ready test and i am very lost and confuse .
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!