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
Gemiola [76]
3 years ago
10

A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line

and passes through the point (3,4)?
Mathematics
2 answers:
sveta [45]3 years ago
6 0

ANSWER

y= \frac{1}{3} x + 3

EXPLANATION

We want to find the equation of a line which is perpendicular to another line with slope -3 and passes through (3,4).

Our line of interest is has a slope that is the negative reciprocal of -3

m =  -  \frac{1}{ - 3}  =  \frac{1}{3}

The equation is given by

y-y_1=m(x-x_1)

We substitute the point and slope to get:

y-4= \frac{1}{3} (x-3)

Expand

y-4= \frac{1}{3} x-1

y= \frac{1}{3} x-1 + 4

y= \frac{1}{3} x + 3

Marianna [84]3 years ago
3 0

Answer: y=\frac{1}{3}x+3

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

y=mx+b

Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

m=\frac{1}{3}

Substitute the point (3,4) into the equation and solve for b:

4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3

Then the equation of this line is:

y=\frac{1}{3}x+3

You might be interested in
What is the answer, plz help. 5(x-7) + 42 = 5x+7
dimaraw [331]

Answer:

x is all real numbers

Step-by-step explanation:

5(x-7) + 42 = 5x+7

Distribute

5x - 35 +42 = 5x+7

Combine like terms

5x +7 = 5x+7

Subtract 5x from each side

7=7

This is always true, so x can be any number

3 0
4 years ago
Read 2 more answers
During my three-week stay in Walla Walla, Washington, it rained for 7 days, it was sunny for 11 days, and it was overcast withou
Gre4nikov [31]
Rain : sunny : overcast 
7:11:3

7x + 11x + 3x = 366
21x = 366
x = 366/21
x = 17.43

7(17.43) = 122.01 days rain
11(17.43) = 191.73 days sunny
3(17.43) = 52.29 days overcast
4 0
3 years ago
Read 2 more answers
Write a equation of a hyperbola given the foci and the asymptotes
professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}

The asymptote of n hyperbola is expressed as

y=\pm\frac{a}{b}(x-h)+k

Given that the asymptotes are

y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x

This implies that

a=3,\text{ and b=4}

To evaluate the value of h and k,

undefined

3 0
1 year ago
Which expression is equivalent to 2cos2(x/2)-cos(x)
Pavel [41]

Answer:

B

Step-by-step explanation:

Edge

3 0
3 years ago
Find the volume of the region between the cylinder z=3y^2 and the xy-plane that is bounded by the planes x=0,x=1 ,y=-1 and . z =
son4ous [18]

Answer:

The volume of the region V = 2

Step-by-step explanation:

Given that:

z_1 = 3y^2 ;

where initially;

z_o = 0; \ x_o = 0;  \ x_1 = 1; \  y_o= -1;  \ y_1 = 1

The volume of the region is given by a triple which is expressed as:

V = \int_x \int_y \int_z \ dz \ dy \ dx

V = \int \limits ^{x_1 = 1}_{x_o=0}  \int \limits  ^{y_1 = 1}_{y_o=-1}    \int \limits ^{z_1 = 3y^2}_{z_o=0}  \ dz \ dy \ dx

V = \int \limits ^{1}_{0}  \int \limits  ^{ 1}_{-1}    \int \limits ^{3y^2}_{0}  \ dz \ dy \ dx

V = \int \limits ^{1}_{0}  \int \limits  ^{ 1}_{-1}   \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx

V = \int \limits ^{1}_{0}  \int \limits  ^{ 1}_{-1}   \Bigg [3y^2 \Bigg]  \ dy \ dx

V = \int \limits ^{1}_{0}   \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1}   \ dx

V = \int \limits ^{1}_{0}   \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg]   \ dx

V = \int \limits ^{1}_{0}   \Bigg [1-(-1)\Bigg]   \ dx

V =2  \Bigg [x \Bigg] ^1_0

V = 2

Thus, the volume of the region is 2

3 0
3 years ago
Other questions:
  • What is the volume of the given prism? round the answer to the nearest tenth of a centimeter. 9.4 cm 5.4 cm 11.7 cm?
    14·2 answers
  • A computer was on sale for 2/3 of the original price.If the original price was 900 dollars what was the sale price
    7·1 answer
  • What's another way to name 1/4
    14·1 answer
  • The tempature at the beginning of the day was 4f the temp fire dropped 12f by the end of the day. What was the temps tire at the
    9·1 answer
  • Sendo A = (-1, 0, 1, 2) e B = (-2, -1, 0, 1, 2, 3, 4), verifique em cada caso se a lei dada define uma função de A com valores e
    12·1 answer
  • The sum of 3 consecutive odd numbers is 39. What is the smallest of these numbers?
    12·1 answer
  • Which term names the best representation of a border that separates one state from another on a map?
    9·1 answer
  • Which of the following values are in the range of the function graphed below?
    6·1 answer
  • Convert the weight from kilograms to grams. Write your answer in standard form.
    6·2 answers
  • Please help me with this.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!