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
natulia [17]
3 years ago
14

A. The point-slope form of the equation of a line is y ? y1 = m(x ? x1), where m is the slope and (x1, y1) is a point on the lin

e. Write the equation of the line in point-slope form perpendicular to the graph of y = 1/2x -7 passing through the point (6, 5).
B. Write an equation of the perpendicular bisector of JK, where J = (?8, 4) and K = (4, 4).

Can you show work please.
Mathematics
1 answer:
Rudiy273 years ago
8 0

Answer:

A.

y - 5 = -2(x-6)

Negative reciprocal gives you the perpendicular slope so negative reciprocal of 1/2 is -2.

Then apply point-slope form.

B. The answer is x = 6.

The midpoint of JK is

\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) = \left( \frac{8+ 4}{2}, \frac{4 + 4}{2} \right) = \left(6,4\right)

The line that goes through JK is just a horizontal line y = 4 because the y-coordinate does not change. So its perpendicular bisector is the vertical line that goes through the x-coordinate of the midpoint, that is, x = 6.

You might be interested in
maria purchased a new jacket for 78.12. the orginal price of the jacket was discounted 20% and Maria had to pay 5% sales tax. wh
prohojiy [21]
20 percent of the discount minus 5 percent sales tax equals to 15 percent.
know calculate the 15 percentage out of 78,12 so x on 78,12 equals to 20 on 100 so 78,12 equals to 100 percent and x equals to 15 percent so 78,12 times 15 divided by 100 is 15 percent or the number you found discount and and sales tax combined know you substact 15 percent out of your original price.


7 0
3 years ago
Find the value of $x$ for the right triangle. A right triangle with base labeled x and hypotenuse labeled 12 units. Angle betwee
slamgirl [31]

Answer:

6 feets

Step-by-step explanation:

The triangle described in the question has been sketched in the picture attached below :

From the triangle, we could solve for X, which is the base of the triangle using trigonometry :

Sinθ = opposite / hypotenus

Sin 30° = x / 12

0.5 = x / 12

x = 12 * 0.5

x = 6 feets

Hence base, x = 6 feets

8 0
3 years ago
What is the equation of the line that goes through the points (5, 11) and (7,21)?
iragen [17]

Answer:

y = 5x - 14

Step-by-step explanation:

First point coordinates

x₁

5

y₁

11

Second point coordinates

x₂

7

y₂

21

Result

Slope (m)

5

m = 10 / 2 = 5 / 1 = 5

Your function

The entered points belong to an increasing, linear function.

Equation: y = 5x - 14.

Hope i helped :)

5 0
3 years ago
Pls help me!!!!! :)
swat32

Answer:

it would be slope intercept then it would be y=mx+b

Step-by-step explanation:

go to a graph find (-5,4) then graph it on the chart then use y=mx+b

6 0
3 years ago
Find the squares of (m-1)​
Alchen [17]

Answer:

Solution

verified

Verified by Toppr

m

2

−3m−1=0

m

2

−3m=1 → (1)

Third term =(

2

1

coeeficientofm)

2

(

2

1

×(−3))

2

=(

2

−3

)

2

=

4

9

Adding

4

9

to both sides of equation (1), we get

m

2

−3m+

4

9

=1+

4

9

∴ m

2

−3m+

4

9

=

4

4+9

∴ (m−

2

3

)

2

=

4

13

Taking square roots on both sides

∴ m−

2

3

=±

2

13

∴ m=

2

3

+

2

13

or m=

2

3

−

2

13

m=

2

3+

13

,

2

3−

13

are the roots of the given quadratic equation.

8 0
3 years ago
Other questions:
  • the bike course is 80 miles long and I have ridden 44 miles of the course. what percentage have avridden?
    8·1 answer
  • An elevator starts at the lobby and makes 4 stops. The positive numbers stand for going up, and the negative numbers stand for g
    7·1 answer
  • Which piece of information represents a parameter?
    5·1 answer
  • Need took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points
    15·1 answer
  • Four students are verifying that
    15·2 answers
  • Simplify negative 8 over 2 ÷ 6 over negative 3.<br> negative 4<br> 2<br> negative 2<br> 4
    12·2 answers
  • The correlation coefficient for poor health and not exercising in a group of people is 0.67. Analyze the following statement: Po
    13·2 answers
  • Evaluate the expression 2v^3•v^0
    11·1 answer
  • Help me i like math but math its really not my specialty.
    14·1 answer
  • I need help with questions 9
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!