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
cupoosta [38]
3 years ago
14

Through: (4,- 4), perp. to y = -4x - 2

Mathematics
1 answer:
amid [387]3 years ago
7 0

Answer:

Step-by-step explanation:

y = -4x - 2

slope of line = -4

slope of perpendicular to line = ¼

Point-slope equation for line of slope ¼, passing through (4,-4):

y+4 = ¼(x-4)

In slope-intercept form:

y = ¼x - 5

You might be interested in
The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Finger [1]

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

<h3>The Midpoint Formula</h3>

The midpoint formula is given as: (x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )

<em>Where</em>,

(x_m, y_m) = coordinates of the midpoint

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Given the following:

(x_m, y_m) = M( 6,-4)

(x_1, y_1) = G(8,-2)

(x_2, y_2) = H(?, ?)

Plug in the values into the midpoint formula

M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )

Solve for the x-coordinate and y-coordinate separately

6 = \frac{8 + x_2}{2}

  • Multiply both sides

6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}

-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

brainly.com/question/13115533

3 0
2 years ago
Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?​
Serga [27]

Answer:

No, They are not equivalent

Step-by-step explanation:

The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.

The variable in this question is x.

To prove this, we equate both expressions:

10x + 6 = 5x + 11

10x - 5x = 11 - 6\\\\\\5x = 5\\\\\\x = 1

This shows that they have the same value ONLY when x is 1.

This is why Andre says that they are equivalent, but they are not.

8 0
3 years ago
What is the probability of rolling a prime number of a standard 20 sided die? (1 is not a prime number)
satela [25.4K]

Answer:

2/5.

Step-by-step explanation:

The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19.

A total of 8.

So the probability of rolling a prime number is 8/20

= 2/5.

3 0
3 years ago
X + y = 3
Studentka2010 [4]

Answer:

Infinitely many solutions

Step-by-step explanation:

x+y=3

2x+2y=6

x=3-y

2(3-y)+2y=6

6-2y+2y=6

6+0=6

6=6

infinitely many solutions

3 0
3 years ago
HELP NOW 15 POINTS!!The equation for a line slope 3.5 and y intercept (0,—4). Also (different problems) a line through (2,15)and
ozzi
Ummmm follow me instagram
8 0
3 years ago
Read 2 more answers
Other questions:
  • The perimeter of a triangular playground is 270 feet. If the ratios of the measures of the sides of the triangle are 5:6:7, find
    5·1 answer
  • Help me with number 9 please find the answer for A and B
    10·1 answer
  • Afton made a chicken dish for dinner. She added a 10 ounce package of vegetables and a 14 ounce package of rice to a 40 ounces o
    11·2 answers
  • Translation of the length of a rectangle is 2 feet greater than twice its width. If the perimeter is 25 feet, fine the width
    7·1 answer
  • At a school the number of boys : number of girls = 11 : 9.
    5·2 answers
  • HELP! I need to pass this test
    7·1 answer
  • The sum of Jason’s 5 quiz scores is 95. What is the
    7·2 answers
  • Plzz help 22 points, 11 if brainliest
    14·1 answer
  • Solve for x <br> 3(4x-1)+9-x=2x+8+9x
    15·1 answer
  • Three times the difference between t and y"
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!